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Students will recognize, describe, and create simple repeating patterns; and recognize and describe plane figures according to their characteristics; and construct plane figures using a variety of materials. Students will investigate measurement of length, height, weight, volume, and time using direct comparisons. Students will engage with the data cycle using object graphs and picture graphs. The data cycle includes formulating questions to be explored with data; collecting or acquiring data; organizing and representing data; and analyzing data and communicating results.\n\nThe use of appropriate technology and the interpretation of the results from applying technology tools must be an integral part of teaching, learning, and assessment. While learning mathematics, students will be actively engaged, using concrete materials and appropriate technologies to facilitate problem solving. 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Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"K.MG.2","CFItemType":"Standard","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"16c29532-33d9-4c68-96ff-fd9148551b5d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/16c29532-33d9-4c68-96ff-fd9148551b5d","fullStatement":"Identify and name concrete and pictorial representations of circles, triangles, squares, and rectangles regardless of their orientation in space.","humanCodingScheme":"K.MG.2a","CFItemType":"Knowledge and Skill","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"34dd1ff7-7648-4ed5-9dae-b22d1b8e1cf6","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/34dd1ff7-7648-4ed5-9dae-b22d1b8e1cf6","fullStatement":"Describe triangles, squares, and rectangles to include the number of sides and number of vertices.","humanCodingScheme":"K.MG.2b","CFItemType":"Knowledge and Skill","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"f27d505f-a968-4158-8a17-c4c26ecbc02d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/f27d505f-a968-4158-8a17-c4c26ecbc02d","fullStatement":"Describe a circle using terms such as round and curved.","humanCodingScheme":"K.MG.2c","CFItemType":"Knowledge and Skill","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"95e0e181-4956-47ea-924b-7e82c1e78689","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/95e0e181-4956-47ea-924b-7e82c1e78689","fullStatement":"Distinguish between examples and nonexamples of identified plane figures (circles, triangles, squares, and rectangles).","humanCodingScheme":"K.MG.2d","CFItemType":"Knowledge and Skill","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"c06664cb-64ae-40c2-8c1a-c22f84e7d12f","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/c06664cb-64ae-40c2-8c1a-c22f84e7d12f","fullStatement":"Compare and contrast two plane figures using characteristics to describe similarities and differences.","humanCodingScheme":"K.MG.2e","CFItemType":"Knowledge and Skill","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"ebdd191b-c002-4829-958b-4ff80d9883d6","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/ebdd191b-c002-4829-958b-4ff80d9883d6","fullStatement":"Construct plane figures (circles, triangles, squares, and rectangles) using a variety of materials (e.g., straws, sticks, pipe cleaners).","humanCodingScheme":"K.MG.2f","CFItemType":"Knowledge and Skill","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"092b94b8-f908-4b43-baff-c926a2d34bb4","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/092b94b8-f908-4b43-baff-c926a2d34bb4","fullStatement":"The student will describe the units of time represented in a calendar. 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given a predetermined context, that require the collection of data (limited to 25 or fewer data points for no more than four categories).","humanCodingScheme":"K.PS.1c","CFItemType":"Knowledge and Skill","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"c7f11dbf-fb47-4657-8997-360cf4c0eb21","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/c7f11dbf-fb47-4657-8997-360cf4c0eb21","fullStatement":"Determine the data needed to answer a posed question, and collect the data using various methods (e.g., counting objects, drawing pictures).","humanCodingScheme":"K.PS.1d","CFItemType":"Knowledge and Skill","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and 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graphs and picture graphs and communicate results:","humanCodingScheme":"K.PS.1g","CFItemType":"Knowledge and Skill","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"d6526350-a131-450d-ae08-826ac9250883","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d6526350-a131-450d-ae08-826ac9250883","fullStatement":"*Analyze data represented in object graphs and picture graphs and communicate results* ask and answer questions about the data represented in object graphs and picture graphs (e.g., how many in each category, which categories have the greatest, least, or the same amount of 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Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"K.PFA.1","CFItemType":"Standard","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"89f121bc-9a41-4d8a-b9dd-16eadebd6d8f","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/89f121bc-9a41-4d8a-b9dd-16eadebd6d8f","fullStatement":"Identify and describe the core found in repeating patterns.","humanCodingScheme":"K.PFA.1a","CFItemType":"Knowledge and Skill","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"22b81203-9ad9-4c03-a080-0c1015c18999","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/22b81203-9ad9-4c03-a080-0c1015c18999","fullStatement":"Extend a repeating pattern by adding at least two complete repetitions of the core to the pattern.","humanCodingScheme":"K.PFA.1b","CFItemType":"Knowledge and Skill","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"58e5d54c-1ed6-4304-96aa-4c03a49b9cd5","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/58e5d54c-1ed6-4304-96aa-4c03a49b9cd5","fullStatement":"Create and describe a repeating pattern using objects, colors, sounds, movements, or pictures.","humanCodingScheme":"K.PFA.1c","CFItemType":"Knowledge and Skill","educationLevel":["KG"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"2ebc0c3f-f1ec-46ce-a458-aea3f7a2bd11","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/2ebc0c3f-f1ec-46ce-a458-aea3f7a2bd11","fullStatement":"Grade 1","notes":"The Grade 1 Standards place emphasis on counting, representing, comparing, and ordering sets of objects up to 120; recognizing, describing, and transferring repeating and growing patterns; and analyzing and sorting plane figures. Students\u2019 understanding of number is expanded through recognizing and describing part-part-whole relationships for numbers up to 10, recalling addition and subtraction facts to 10 with automaticity, as well as solving problems using addition and subtraction within 20. Students will begin the study of fractions by solving problems that involve partitioning models into two and four equal-sized parts. Students will use nonstandard units to measure and compare objects by length, weight, and volume. Students will engage with the data cycle using object graphs, picture graphs, and tables. The data cycle includes formulating questions to be explored with data; collecting or acquiring data; organizing and representing data; and analyzing data and communicating results.\n\nThe Grade 1 Standards place emphasis on counting, representing, comparing, and ordering sets of objects up to 120; recognizing, describing, and transferring repeating and growing patterns; and analyzing and sorting plane figures. Students\u2019 understanding of number is expanded through recognizing and describing part-part-whole relationships for numbers up to 10, recalling addition and subtraction facts to 10 with automaticity, as well as solving problems using addition and subtraction within 20. Students will begin the study of fractions by solving problems that involve partitioning models into two and four equal-sized parts. Students will use nonstandard units to measure and compare objects by length, weight, and volume. Students will engage with the data cycle using object graphs, picture graphs, and tables. The data cycle includes formulating questions to be explored with data; collecting or acquiring data; organizing and representing data; and analyzing data and communicating results.\n\nThe acquisition of specialized mathematical vocabulary and language is crucial to a student\u2019s understanding and appreciation of the subject and fosters confidence in mathematics communication and problem solving.\n\nProblem-solving is integrated throughout the content strands. The development of problem-solving skills is a major goal of the mathematics program at every grade level. The development of skills and problem-solving strategies must be integrated early and continuously into each student\u2019s mathematics education.","CFItemType":"Grade","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Grade","identifier":"9f7412c0-f477-4485-891b-d8a0b63c2c7e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/9f7412c0-f477-4485-891b-d8a0b63c2c7e"}},{"identifier":"d8358cea-f767-40e9-8f8a-8d44f93abcd1","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d8358cea-f767-40e9-8f8a-8d44f93abcd1","fullStatement":"Number and Number Sense","humanCodingScheme":"1.NS","CFItemType":"Strand","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"6bf8a725-fd6c-4c47-859e-8660aadab272","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/6bf8a725-fd6c-4c47-859e-8660aadab272","fullStatement":"The student will utilize flexible counting strategies to determine and describe quantities up to 120. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"1.NS.1","CFItemType":"Standard","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"de52ab78-9e71-447c-8803-c280dedbef13","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/de52ab78-9e71-447c-8803-c280dedbef13","fullStatement":"Count forward orally by ones from 0 to 120 starting at any number between 0 and 120.","humanCodingScheme":"1.NS.1a","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"1e87a1d6-dccc-4743-ab52-64c3d63227eb","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/1e87a1d6-dccc-4743-ab52-64c3d63227eb","fullStatement":"Count backward orally by ones when given any number between 1 and 30.","humanCodingScheme":"1.NS.1b","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"ef0791fb-dee6-42a4-94cd-55f5ac954d87","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/ef0791fb-dee6-42a4-94cd-55f5ac954d87","fullStatement":"Represent forward counting patterns when counting by groups of 5 and groups of 10 up to\n120 using a variety of tools (e.g., objects, coins, 120 chart).","humanCodingScheme":"1.NS.1c","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"9548e735-6559-419b-baeb-2d1393ba97c2","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/9548e735-6559-419b-baeb-2d1393ba97c2","fullStatement":"Represent forward counting patterns when counting by groups of 2 up to at least 30 using a variety of tools (e.g., beaded number strings, number paths [a prelude to number lines], 120 chart).","humanCodingScheme":"1.NS.1d","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"be5a8792-7f4b-4147-9738-0eb92d2b3b68","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/be5a8792-7f4b-4147-9738-0eb92d2b3b68","fullStatement":"Group a collection of up to 120 objects into tens and ones, and count to determine the total (e.g., 5 groups of ten and 6 ones is equal to 56 total objects).","humanCodingScheme":"1.NS.1e","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"f2de4686-be12-4c79-81e3-151ff99dfe9b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/f2de4686-be12-4c79-81e3-151ff99dfe9b","fullStatement":"Identify a penny, nickel, and dime by their attributes and describe the number of pennies equivalent to a nickel and a dime.","humanCodingScheme":"1.NS.1f","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"9729e51f-4efc-46be-b2f1-9478d0b9cf2e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/9729e51f-4efc-46be-b2f1-9478d0b9cf2e","fullStatement":"Count by ones, fives, or tens to determine the value of a collection of like coins (pennies, nickels, or dimes), whose total value is 100 cents or less.","humanCodingScheme":"1.NS.1g","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"9642b345-7553-43b8-993a-4ff0704926f0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/9642b345-7553-43b8-993a-4ff0704926f0","fullStatement":"The student will represent, compare, and order quantities up to 120. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"1.NS.2","CFItemType":"Standard","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"5c8eed6f-9406-4c21-a655-c99dda89ff51","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/5c8eed6f-9406-4c21-a655-c99dda89ff51","fullStatement":"Read and write numerals 0-120 in sequence and out of sequence.","humanCodingScheme":"1.NS.2a","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"b5ada31e-8cf4-4ba1-99a1-bd331f69e61d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b5ada31e-8cf4-4ba1-99a1-bd331f69e61d","fullStatement":"Estimate the number of objects (up to 120) in a given collection and justify the reasonableness of an answer.","humanCodingScheme":"1.NS.2b","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"e5fa015a-84ba-44d2-b5f8-d4b32b2acc74","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/e5fa015a-84ba-44d2-b5f8-d4b32b2acc74","fullStatement":"Create a concrete or pictorial representation of a number using tens and ones and write the corresponding numeral up to 120 (e.g., 47 can be represented as 47 ones or it can be grouped into 4 tens with 7 ones left over).","humanCodingScheme":"1.NS.2c","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"93ad3866-91c8-4eba-9122-0795f56ce655","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/93ad3866-91c8-4eba-9122-0795f56ce655","fullStatement":"Describe the number of groups of tens and ones when given a two-digit number and justify reasoning.","humanCodingScheme":"1.NS.2d","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"f268d58d-27d8-41e5-9ec5-0ac75b5b528f","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/f268d58d-27d8-41e5-9ec5-0ac75b5b528f","fullStatement":"Compare two numbers between 0 and 120 represented pictorially or with concrete objects using the terms greater than, less than, or equal to.","humanCodingScheme":"1.NS.2e","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"4d5d8c75-146a-4102-bb69-cae95f033044","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/4d5d8c75-146a-4102-bb69-cae95f033044","fullStatement":"Order three sets, each set containing up to 120 objects, from least to greatest, and greatest to least.","humanCodingScheme":"1.NS.2f","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"b954ccf9-c5be-4ab6-9255-cec65bb930de","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b954ccf9-c5be-4ab6-9255-cec65bb930de","fullStatement":"The student will use mathematical reasoning and justification to solve contextual problems that involve partitioning models into two and four equal-sized parts. 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Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"1.CE.1","CFItemType":"Standard","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"d65f9980-02cf-49e7-ba48-c85a5cd5e513","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d65f9980-02cf-49e7-ba48-c85a5cd5e513","fullStatement":"Recognize and describe with fluency part-part-whole relationships for numbers up to 10 in a variety of configurations.","humanCodingScheme":"1.CE.1a","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"92dfdd3a-e2b2-4340-b6b5-18e181b39d61","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/92dfdd3a-e2b2-4340-b6b5-18e181b39d61","fullStatement":"Demonstrate fluency with addition and subtraction within 10 by applying reasoning strategies (e.g., count on/count back, one more/one less, doubles, make ten).","humanCodingScheme":"1.CE.1b","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"db1cac84-c09c-41b2-842b-e1d421434ff7","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/db1cac84-c09c-41b2-842b-e1d421434ff7","fullStatement":"Recall with automaticity addition and subtraction facts within 10.","humanCodingScheme":"1.CE.1c","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"c959a420-d4c1-4636-a367-79c4a3211223","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/c959a420-d4c1-4636-a367-79c4a3211223","fullStatement":"Investigate, recognize, and describe part-part-whole relationships for numbers up to 20 in a variety of configurations (e.g., beaded racks, double ten frames).","humanCodingScheme":"1.CE.1d","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"027e8ef5-0ed2-4504-899f-08551c72045f","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/027e8ef5-0ed2-4504-899f-08551c72045f","fullStatement":"Solve addition and subtraction problems within 20 using various strategies (e.g., inverse relationships: if 9 + 3 = 12 then 12 - 3 = 9; 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another).","humanCodingScheme":"1.PS.1g.i","CFItemType":"Component","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"60556b20-a260-439e-9bc3-f250a5766f9d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/60556b20-a260-439e-9bc3-f250a5766f9d","fullStatement":"*Analyze data represented in object graphs, picture graphs, and tables and communicate results* draw conclusions about the data and make predictions based on the data.","humanCodingScheme":"1.PS.1g.ii","CFItemType":"Component","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"ee3c9394-7dd7-4a66-a84a-7ea6058400c3","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/ee3c9394-7dd7-4a66-a84a-7ea6058400c3","fullStatement":"Patterns, Functions, and 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Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"1.PFA.1","CFItemType":"Standard","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"6a11c218-ad3e-4461-bdbb-24a60c6f7341","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/6a11c218-ad3e-4461-bdbb-24a60c6f7341","fullStatement":"Identify and describe repeating and increasing patterns.","humanCodingScheme":"1.PFA.1a","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"1bae0153-95d0-48e5-8ce2-3a907d09b4ca","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/1bae0153-95d0-48e5-8ce2-3a907d09b4ca","fullStatement":"Analyze a repeating or increasing pattern and generalize the change to extend the pattern using objects, colors, movements, pictures, or geometric figures.","humanCodingScheme":"1.PFA.1b","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"630918cd-2746-4b66-b2f2-90d283a684f6","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/630918cd-2746-4b66-b2f2-90d283a684f6","fullStatement":"Create a repeating or increasing pattern using objects, pictures, movements, colors, or geometric figures.","humanCodingScheme":"1.PFA.1c","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"1b39648b-2fd7-485c-90b5-d27fb28fa7fa","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/1b39648b-2fd7-485c-90b5-d27fb28fa7fa","fullStatement":"Transfer a repeating or increasing pattern from one form to another.","humanCodingScheme":"1.PFA.1d","CFItemType":"Knowledge and Skill","educationLevel":["01"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"09c3c680-e78a-4fa1-ba37-8dfc5f6ed872","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/09c3c680-e78a-4fa1-ba37-8dfc5f6ed872","fullStatement":"Grade 2","notes":"The Grade 2 Standards extend the study of number and spatial sense to include three-digit whole numbers and solid geometric figures. Students will demonstrate fluency and recall with automaticity addition and subtraction facts within 20. Students will also solve single-step and multistep problems, including those in context, involving addition or subtraction of whole numbers where addends or minuends do not exceed 100. Students will begin to use U.S. Customary units to measure length, weight, and liquid volume to the nearest whole unit. Students will engage with the data cycle using pictographs and bar graphs. The data cycle includes formulating questions to be explored with data; collecting or acquiring data; organizing and representing data; and analyzing data and communicating results.\n\nThe use of appropriate technology and the interpretation of the results from applying technology tools must be an integral part of teaching, learning, and assessment. While learning mathematics, students will be actively engaged, using concrete materials and appropriate technologies to facilitate problem solving. However, facility in the use of technology shall not be regarded as a substitute for a student\u2019s understanding of quantitative and algebraic concepts or for proficiency in basic computations.\n\nThe acquisition of specialized mathematical vocabulary and language is crucial to a student\u2019s understanding and appreciation of the subject and fosters confidence in mathematics communication and problem solving.\n\nProblem-solving is integrated throughout the content strands. The development of problem-solving skills is a major goal of the mathematics program at every grade level. The development of skills and problem-solving strategies must be integrated early and continuously into each student\u2019s mathematics education.","CFItemType":"Grade","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Grade","identifier":"9f7412c0-f477-4485-891b-d8a0b63c2c7e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/9f7412c0-f477-4485-891b-d8a0b63c2c7e"}},{"identifier":"8a992682-db48-4951-8d64-f8f48825b161","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/8a992682-db48-4951-8d64-f8f48825b161","fullStatement":"Number and Number Sense","humanCodingScheme":"2.NS","CFItemType":"Strand","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"c62ca043-92a9-4efb-ae89-580fd725541f","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/c62ca043-92a9-4efb-ae89-580fd725541f","fullStatement":"The student will utilize flexible counting strategies to determine and describe quantities up to 200. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"2.NS.1","CFItemType":"Standard","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"426768d5-a4d1-4297-afa3-29fa71a747d4","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/426768d5-a4d1-4297-afa3-29fa71a747d4","fullStatement":"Represent forward counting patterns when counting by groups of 2 up to at least 50, starting at various multiples of 2 and using a variety of tools (e.g., objects, number lines, hundreds charts).","humanCodingScheme":"2.NS.1a","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and 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reasonable estimate up to 1,000 when given a contextual problem (e.g., What would be the best estimate for the number of students in our school \u2013 5, 50, or 500?).","humanCodingScheme":"2.NS.1g","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"02cdf524-87e5-45cc-8865-7b6c1ef5ae2f","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/02cdf524-87e5-45cc-8865-7b6c1ef5ae2f","fullStatement":"Represent even numbers (up to 50) with concrete objects, using two equal groups or two equal addends.","humanCodingScheme":"2.NS.1h","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and 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number (up to 50) is even or odd using concrete objects and justify reasoning (e.g., dividing collections of objects into two equal groups, pairing objects).","humanCodingScheme":"2.NS.1j","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"0491655f-b0ef-4067-a2ec-0969adab8fd9","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/0491655f-b0ef-4067-a2ec-0969adab8fd9","fullStatement":"The student will demonstrate an understanding of the ten-to-one relationships of the base 10 number system to represent, compare, and order whole numbers up to 999. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"2.NS.2","CFItemType":"Standard","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"4074b40b-f9f2-43c9-853b-1100a151a419","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/4074b40b-f9f2-43c9-853b-1100a151a419","fullStatement":"Write the three-digit whole number represented by a given model (e.g., concrete objects, pictures of base 10 blocks).","humanCodingScheme":"2.NS.2a","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"1819c57f-d961-44f3-9ddd-3442efd97749","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/1819c57f-d961-44f3-9ddd-3442efd97749","fullStatement":"Read, write, and represent three-digit numbers in standard form, expanded form, and word form, using concrete or pictorial representations.","humanCodingScheme":"2.NS.2b","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"cde2bb74-9420-49e6-9955-303ea675760b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/cde2bb74-9420-49e6-9955-303ea675760b","fullStatement":"Apply patterns within the base 10 system to determine and communicate, orally and in written form, the place (ones, tens, hundreds) and value of each digit in a three-digit whole number (e.g., in 352, the 5 represents 5 tens and its value is 50).","humanCodingScheme":"2.NS.2c","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"716635a7-6d5b-4f38-9f04-02effa1897aa","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/716635a7-6d5b-4f38-9f04-02effa1897aa","fullStatement":"Investigate and explain the ten-to-one relationships among ones, tens, and hundreds, using models.","humanCodingScheme":"2.NS.2d","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"331cf201-3412-49cb-92d4-39c39019a4c0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/331cf201-3412-49cb-92d4-39c39019a4c0","fullStatement":"Compose and decompose whole numbers up to 200 by making connections between a variety of models (e.g., base 10 blocks, place value cards, presented orally, in expanded or standard form) and counting strategies (e.g., 156 can be 1 hundred, 5 tens, 6 ones; 1 hundred, 4 tens, 16 ones; 15 tens, 6 ones).","humanCodingScheme":"2.NS.2e","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"bf21bb88-625a-408f-bc93-25b9ed4521c1","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/bf21bb88-625a-408f-bc93-25b9ed4521c1","fullStatement":"Plot and justify the position of a given number up to 100 on a number line with pre-marked benchmarks of 1s, 2s, 5s, 10s, or 25s.","humanCodingScheme":"2.NS.2f","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"e0d978bc-8873-4ebd-b55f-bbbacfe8a060","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/e0d978bc-8873-4ebd-b55f-bbbacfe8a060","fullStatement":"Compare two whole numbers, each 999 or less, represented concretely, pictorially, or symbolically, using words (greater than, less than, or equal to) and symbols ($>, <$, or $=$). Justify reasoning orally, in writing, or with a model.","humanCodingScheme":"2.NS.2g","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"860f5ddb-3f09-4dbb-80ce-e360b62c8d80","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/860f5ddb-3f09-4dbb-80ce-e360b62c8d80","fullStatement":"Order up to three whole numbers, each 999 or less, represented concretely, pictorially, or symbolically from least to greatest and greatest to least.","humanCodingScheme":"2.NS.2h","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"0c40ccb1-3d0d-416c-bf12-affd5bab083c","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/0c40ccb1-3d0d-416c-bf12-affd5bab083c","fullStatement":"The student will use mathematical reasoning and justification to solve contextual problems that involve partitioning models into equal-sized parts (halves, fourths, eighths, thirds, and sixths). Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"2.NS.3","CFItemType":"Standard","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"0c5ad313-edc3-4d4c-81da-0c7f811c1472","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/0c5ad313-edc3-4d4c-81da-0c7f811c1472","fullStatement":"Model and describe fractions as representing equal-size parts of a whole.","humanCodingScheme":"2.NS.3a","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"92746cd8-06d3-48d2-b963-7e97432ed464","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/92746cd8-06d3-48d2-b963-7e97432ed464","fullStatement":"Describe the relationship between the number of fractional parts needed to make a whole and the size of the parts (i.e., as the whole is divided into more parts, each part becomes smaller).","humanCodingScheme":"2.NS.3b","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"56e790fe-4664-4389-a283-61c6e4a4863d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/56e790fe-4664-4389-a283-61c6e4a4863d","fullStatement":"Using same-size fraction pieces, from a region/area model, count by unit fractions up to two wholes (e.g., zero one-fourths, one one-fourth, two one-fourths, three one-fourths, four onefourths, five one-fourths; or zero-fourths, one-fourth, two-fourths, three-fourths, four-fourths, five-fourths).","humanCodingScheme":"2.NS.3d","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"909713ff-8df3-4701-afe1-e529bda592f7","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/909713ff-8df3-4701-afe1-e529bda592f7","fullStatement":"Given a context, represent, name, and write fractional parts of a whole for halves, fourths, eighths, thirds, and sixths using:","humanCodingScheme":"2.NS.3e","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"0781e344-9303-4d93-9ab3-77660bffcd73","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/0781e344-9303-4d93-9ab3-77660bffcd73","fullStatement":"*Given a context, represent, name, and write fractional parts of a whole for halves, fourths, eighths, thirds, and sixths using* region/area models (e.g., pie pieces, pattern blocks, geoboards).","humanCodingScheme":"2.NS.3e.i","CFItemType":"Component","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"d2059b3d-f7dc-42d4-a709-695a91f5ab46","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d2059b3d-f7dc-42d4-a709-695a91f5ab46","fullStatement":"*Given a context, represent, name, and write fractional parts of a whole for halves, fourths, eighths, thirds, and sixths using* length models (e.g., paper fraction strips, fraction bars, rods, number lines).","humanCodingScheme":"2.NS.3e.ii","CFItemType":"Component","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"359b1162-8ef4-41c6-a8ef-1f3082d4c7b7","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/359b1162-8ef4-41c6-a8ef-1f3082d4c7b7","fullStatement":"*Given a context, represent, name, and write fractional parts of a whole for halves, fourths, eighths, thirds, and sixths using* set models (e.g., chips, counters, cubes).","humanCodingScheme":"2.NS.3e.iii","CFItemType":"Component","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"d2ff9254-9313-457b-8c2f-8c895704a0de","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d2ff9254-9313-457b-8c2f-8c895704a0de","fullStatement":"Compare unit fractions for halves, fourths, eighths, thirds, and sixths using words (greater than, less than or equal to) and symbols ($>, <, =$), with region/area and length models.","humanCodingScheme":"2.NS.3f","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"505d2530-e07d-4c09-b044-31018ed4254f","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/505d2530-e07d-4c09-b044-31018ed4254f","fullStatement":"The student will solve problems that involve counting and representing money amounts up to $2.00. 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45 - 9 = 46 - 10; 15 +16 \\not\\approx 31 +15$).","humanCodingScheme":"2.CE.1j","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"b2c0fdf2-e2b2-4b5b-b533-2e33af420330","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b2c0fdf2-e2b2-4b5b-b533-2e33af420330","fullStatement":"Measurement and Geometry","humanCodingScheme":"2.MG","CFItemType":"Strand","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"065acc73-7b1a-46b0-8e3d-b244ab7df121","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/065acc73-7b1a-46b0-8e3d-b244ab7df121","fullStatement":"The student will reason mathematically using standard units (U.S. Customary) with appropriate tools to estimate, measure, and compare objects by length, weight, and liquid volume to the nearest whole unit. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"2.MG.1","CFItemType":"Standard","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"29cadbcf-01ca-4139-a224-cba76377a02c","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/29cadbcf-01ca-4139-a224-cba76377a02c","fullStatement":"Explain the purpose of various measurement tools and how to use them appropriately by:","humanCodingScheme":"2.MG.1a","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and 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Determine and use a key to assist in the analysis of the data.","humanCodingScheme":"2.PS.1c","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"3aa16fbc-9a8e-4494-a359-c5ba78ea0712","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/3aa16fbc-9a8e-4494-a359-c5ba78ea0712","fullStatement":"Organize and represent a data set using a bar graph with a title and labeled axes (limited to 25 or fewer data points for up to six categories, and limit increments of scale to multiples of 1 or 2).","humanCodingScheme":"2.PS.1d","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-06T00:22:17+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"b118f812-e6c0-4299-b6ed-5a106267d538","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b118f812-e6c0-4299-b6ed-5a106267d538","fullStatement":"Analyze data represented in pictographs and bar graphs and communicate results:","humanCodingScheme":"2.PS.1e","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"12d70a4f-9802-4cf6-971e-adb553eeab6a","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/12d70a4f-9802-4cf6-971e-adb553eeab6a","fullStatement":"*Analyze data represented in pictographs and bar graphs and communicate results* ask and answer questions about the data represented in pictographs and bar graphs (e.g., total number of data points represented, how many in each category, how many more or less are in one category than another). Pictograph keys will be limited to symbols representing 1, 2, 5, or 10 pieces of data and bar graphs will be limited to scales with increments in multiples of 1, 2, 5, or 10.","humanCodingScheme":"2.PS.1e.i","CFItemType":"Component","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"64c20074-ef90-4c09-ac55-9bcb1f997752","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/64c20074-ef90-4c09-ac55-9bcb1f997752","fullStatement":"*Analyze data represented in pictographs and bar graphs and communicate results* draw conclusions about the data and make predictions based on the data.","humanCodingScheme":"2.PS.1e.ii","CFItemType":"Component","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"4670e5a0-e8b8-43ea-9bfd-e38745d09c4f","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/4670e5a0-e8b8-43ea-9bfd-e38745d09c4f","fullStatement":"Patterns, Functions, and Algebra","humanCodingScheme":"2.PFA","CFItemType":"Strand","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"05b18e07-c6c3-4394-98b7-6575a3d57430","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/05b18e07-c6c3-4394-98b7-6575a3d57430","fullStatement":"The student will describe, extend, create, and transfer repeating and increasing patterns (limited to addition of whole numbers) using various representations. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"2.PFA.1","CFItemType":"Standard","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"fba84eec-e180-4225-a5c1-2a5ad827e193","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/fba84eec-e180-4225-a5c1-2a5ad827e193","fullStatement":"Identify and describe repeating and increasing patterns.","humanCodingScheme":"2.PFA.1a","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"956898b6-cffe-4bcb-9546-363734b5c966","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/956898b6-cffe-4bcb-9546-363734b5c966","fullStatement":"Analyze a repeating or increasing pattern and generalize the change to extend the pattern using objects, pictures, and numbers.","humanCodingScheme":"2.PFA.1b","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"0060f2a7-f3ac-4ef1-9fbf-a9a6bfa81a08","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/0060f2a7-f3ac-4ef1-9fbf-a9a6bfa81a08","fullStatement":"Create a repeating or increasing pattern using various representations (e.g., objects, pictures, numbers).","humanCodingScheme":"2.PFA.1c","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"c95969c5-7583-44a0-8364-a044b1673c3c","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/c95969c5-7583-44a0-8364-a044b1673c3c","fullStatement":"Transfer a given repeating or increasing pattern from one form to another (e.g., objects, pictures, numbers) and explain the connection between the two patterns.","humanCodingScheme":"2.PFA.1d","CFItemType":"Knowledge and Skill","educationLevel":["02"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"e77d8dc2-3526-4787-bf52-ec5ad1e58d35","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/e77d8dc2-3526-4787-bf52-ec5ad1e58d35","fullStatement":"Grade 3","notes":"The Grade 3 Standards place emphasis on developing an understanding of the concepts of multiplication and division. Students will recall with automaticity multiplication facts through 10 \u00d7 10 and the corresponding division facts and will use this knowledge to solve contextual problems with multiplication and division. Students will extend knowledge of place value to six-digit whole numbers. Concrete models and pictorial representations will be used to deepen understanding of fraction concepts, including comparing, composing, and decomposing. Students will use standard units (U.S. Customary and metric) to measure length, weight/mass, and liquid volume. Students will be introduced to solving contextual problems involving elapsed time. Properties of shapes will be explored, and students will identify polygons, combine and subdivide polygons, and name the resulting polygon(s). Students will engage with the data cycle using pictographs and bar graphs. The data cycle includes formulating questions to be explored with data; collecting or acquiring data; organizing and representing data; and analyzing data and communicating results. Students will work with a variety of growing patterns using various representations.\n\nThe use of appropriate technology and the interpretation of the results from applying technology tools must be an integral part of teaching, learning, and assessment. While learning mathematics, students will be actively engaged, using concrete materials and appropriate technologies to facilitate problem solving. However, facility in the use of technology shall not be regarded as a substitute for a student\u2019s understanding of quantitative and algebraic concepts or for proficiency in basic computations.\n\nThe acquisition of specialized mathematical vocabulary and language is crucial to a student\u2019s understanding and appreciation of the subject and fosters confidence in mathematics communication and problem solving.\n\nProblem-solving is integrated throughout the content strands. The development of problem-solving skills is a major goal of the mathematics program at every grade level. The development of skills and problem-solving strategies must be integrated early and continuously into each student\u2019s mathematics education.","CFItemType":"Grade","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Grade","identifier":"9f7412c0-f477-4485-891b-d8a0b63c2c7e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/9f7412c0-f477-4485-891b-d8a0b63c2c7e"}},{"identifier":"02394ccf-fb87-4bae-a2b9-ded03ecaa961","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/02394ccf-fb87-4bae-a2b9-ded03ecaa961","fullStatement":"Number and Number Sense","humanCodingScheme":"3.NS","CFItemType":"Strand","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"d4f3c7cf-6b2e-47b7-bc16-00068d4f6177","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d4f3c7cf-6b2e-47b7-bc16-00068d4f6177","fullStatement":"The student will use place value understanding to read, write, and determine the place and value of each digit in a whole number, up to six digits, with and without models. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"3.NS.1","CFItemType":"Standard","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"2bb4cc72-06c1-423e-8707-40b06125e93e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/2bb4cc72-06c1-423e-8707-40b06125e93e","fullStatement":"Read and write six-digit whole numbers in standard form, expanded form, and word form.","humanCodingScheme":"3.NS.1a","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"23c0d4c6-3f94-4403-85cb-a8271a8c0529","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/23c0d4c6-3f94-4403-85cb-a8271a8c0529","fullStatement":"Apply patterns within the base 10 system to determine and communicate, orally and in written form, the place and value of each digit in a six-digit whole number (e.g., in 165,724, the 5 represents 5 thousands and its value is 5,000).","humanCodingScheme":"3.NS.1b","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"ac8bde10-70d3-44bf-8afa-cdea094b0ed0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/ac8bde10-70d3-44bf-8afa-cdea094b0ed0","fullStatement":"Compose, decompose, and represent numbers up to 9,999 in multiple ways, according to place value (e.g., 256 can be 1 hundred, 14 tens, 16 ones, but also 25 tens, 6 ones), with and without models.","humanCodingScheme":"3.NS.1c","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"4aa27d0a-7cf2-4ccb-94cc-97abf1945a18","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/4aa27d0a-7cf2-4ccb-94cc-97abf1945a18","fullStatement":"The student will demonstrate an understanding of the base 10 system to compare and order whole numbers up to 9,999. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"3.NS.2","CFItemType":"Standard","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"bfc25028-27fa-4961-aa51-c2fcda0243f0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/bfc25028-27fa-4961-aa51-c2fcda0243f0","fullStatement":"Compare two whole numbers, each 9,999 or less, using symbols ($>, <, =, \\not\\approx$) and/or words (greater than, less than, equal to, not equal to), with and without models.","humanCodingScheme":"3.NS.2a","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"960bda73-6190-4f27-85a8-7b77e20b44a1","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/960bda73-6190-4f27-85a8-7b77e20b44a1","fullStatement":"Order up to three whole numbers, each 9,999 or less, represented with and without models, from least to greatest and greatest to least.","humanCodingScheme":"3.NS.2b","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"7ea6c8cc-6177-4e90-a38d-3ece5a8741f3","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/7ea6c8cc-6177-4e90-a38d-3ece5a8741f3","fullStatement":"The student will use mathematical reasoning and justification to represent and compare fractions (proper and improper) and mixed numbers with denominators of 2, 3, 4, 5, 6,\n8, and 10), including those in context. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"3.NS.3","CFItemType":"Standard","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"33782298-4e9e-4e46-97d9-b812febbe2ab","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/33782298-4e9e-4e46-97d9-b812febbe2ab","fullStatement":"Represent, name, and write a given fraction (proper or improper) or mixed number with denominators of 2, 3, 4, 5, 6, 8, and 10 using:","humanCodingScheme":"3.NS.3a","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"dfee5e6d-3a27-45f8-bfa7-6f6e449d7634","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/dfee5e6d-3a27-45f8-bfa7-6f6e449d7634","fullStatement":"*Represent, name, and write a given fraction (proper or improper) or mixed number with denominators of 2, 3, 4, 5, 6, 8, and 10 using* region/area models (e.g., pie pieces, pattern blocks, geoboards).","humanCodingScheme":"3.NS.3a.i","CFItemType":"Component","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"084af317-28ff-4b59-9d2c-f860758f2c82","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/084af317-28ff-4b59-9d2c-f860758f2c82","fullStatement":"*Represent, name, and write a given fraction (proper or improper) or mixed number with denominators of 2, 3, 4, 5, 6, 8, and 10 using* length models (e.g., paper fraction strips, fraction bars, rods, number lines).","humanCodingScheme":"3.NS.3a.ii","CFItemType":"Component","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"819d1a55-1523-4597-9797-966956fdab55","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/819d1a55-1523-4597-9797-966956fdab55","fullStatement":"*Represent, name, and write a given fraction (proper or improper) or mixed number with denominators of 2, 3, 4, 5, 6, 8, and 10 using* set models (e.g., chips, counters, cubes).","humanCodingScheme":"3.NS.3a.iii","CFItemType":"Component","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"c8b16529-6ef9-4ca0-a3d1-523800c6aa98","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/c8b16529-6ef9-4ca0-a3d1-523800c6aa98","fullStatement":"Identify a fraction represented by a model as the sum of unit fractions.","humanCodingScheme":"3.NS.3b","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"cbcb3b45-2156-4260-a2cc-ba74a2383345","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/cbcb3b45-2156-4260-a2cc-ba74a2383345","fullStatement":"Use a model of a fraction greater than one to count the fractional parts to name and write it as an improper fraction and as a mixed number (e.g., $\\frac{1}{4}$, $\\frac{2}{4}$, $\\frac{3}{4}$, $\\frac{4}{4}$, $\\frac{5}{4} =  1 \\frac{1}{4}$ ).","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-06T00:31:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"humanCodingScheme":"3.NS.3c"},{"identifier":"696d7fb3-32e6-4705-92d4-ffbfc54013d9","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/696d7fb3-32e6-4705-92d4-ffbfc54013d9","fullStatement":"Compare a fraction, less than or equal to one, to the benchmarks of 0, 1\n2 , and 1 using area/region models, length models, and without models.","humanCodingScheme":"3.NS.3e","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and 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problems, including those in context, that involve counting, comparing, representing, and making change for money amounts up to $5.00. 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Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"3.PS.1","CFItemType":"Standard","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"615ec1e3-4e07-4541-b6d7-0779117a4631","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/615ec1e3-4e07-4541-b6d7-0779117a4631","fullStatement":"Formulate questions that require the collection or acquisition of data.","humanCodingScheme":"3.PS.1a","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"0a415646-4464-47cf-9791-b462ecc609db","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/0a415646-4464-47cf-9791-b462ecc609db","fullStatement":"Determine the data needed to answer a formulated question and collect or acquire existing data (limited to 30 or fewer data points for no more than eight categories) using various methods (e.g., polls, observations, tallies).","humanCodingScheme":"3.PS.1b","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"4e970624-282d-49bf-9ccd-1e35f6c52e71","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/4e970624-282d-49bf-9ccd-1e35f6c52e71","fullStatement":"Organize and represent a data set using pictographs that include an appropriate title, labeled axes, and key. 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Determine and use an appropriate scale (increments limited to multiples of 1, 2, 5 or 10).","humanCodingScheme":"3.PS.1d","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"ff482dee-2c58-4d5e-b3d2-02c9ea1859e2","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/ff482dee-2c58-4d5e-b3d2-02c9ea1859e2","fullStatement":"Analyze data represented in pictographs and bar graphs, and communicate results orally and in writing:","humanCodingScheme":"3.PS.1e","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"62021de4-616d-415c-850f-5d5a0981c483","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/62021de4-616d-415c-850f-5d5a0981c483","fullStatement":"*Analyze data represented in pictographs and bar graphs, and communicate results orally and in writing* describe the categories of data and the data as a whole (e.g., data were collected on preferred ways to cook or prepare eggs - 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Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"3.PFA.1","CFItemType":"Standard","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"b77c1281-b40c-4680-8a79-b1e4613355d5","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b77c1281-b40c-4680-8a79-b1e4613355d5","fullStatement":"Identify and describe increasing and decreasing patterns using various representations (e.g., objects, pictures, numbers, number lines).","humanCodingScheme":"3.PFA.1a","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"8c136451-511f-41ed-ac46-c9aa8318f606","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/8c136451-511f-41ed-ac46-c9aa8318f606","fullStatement":"Analyze an increasing or decreasing pattern and generalize the change to extend the pattern or identify missing terms using various representations.","humanCodingScheme":"3.PFA.1b","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"94b480b5-9b6c-491e-8f3c-42e3ae7a84aa","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/94b480b5-9b6c-491e-8f3c-42e3ae7a84aa","fullStatement":"Solve contextual problems that involve identifying, describing, and extending patterns.","humanCodingScheme":"3.PFA.1c","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"f26bfaf1-4766-4b5e-8fd0-35c764f7d22b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/f26bfaf1-4766-4b5e-8fd0-35c764f7d22b","fullStatement":"Create increasing and decreasing patterns using objects, pictures, numbers, and number lines.","humanCodingScheme":"3.PFA.1d","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"fabc810c-54ff-4da2-9743-756240ddf960","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/fabc810c-54ff-4da2-9743-756240ddf960","fullStatement":"Investigate and explain the connection between two different representations of the same increasing or decreasing pattern.","humanCodingScheme":"3.PFA.1e","CFItemType":"Knowledge and Skill","educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"122cfcbf-c81e-461c-9212-fcea5d4cc5d8","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/122cfcbf-c81e-461c-9212-fcea5d4cc5d8","fullStatement":"Grade 4","notes":"The Grade 4 Standards place emphasis on multiplication and division with whole numbers and solving problems involving addition and subtraction of decimals and fractions with like denominators. Students will recall with automaticity multiplication through 12 \u00d7 12 and the corresponding division facts as they become proficient in multiplying and dividing larger numbers. Students will apply knowledge of place value and the properties of addition and multiplication as strategies for solving problems. Students will identify and describe representations of points, lines, line segments, rays, and angles, including endpoints and vertices. Students will describe and compare characteristics of plane and solid figures. Concrete models and pictorial representations will be used to solve problems involving perimeter and area, patterns, probability, and equivalence of fractions and decimals. Students will engage with the data cycle using line graphs. The data cycle includes formulating questions to be explored with data; collecting or acquiring data; organizing and representing data; and analyzing data and communicating results.\n\nThe use of appropriate technology and the interpretation of the results from applying technology tools must be an integral part of teaching, learning, and assessment. While learning mathematics, students will be actively engaged, using concrete materials and appropriate technologies to facilitate problem solving. However, facility in the use of technology shall not be regarded as a substitute for a student\u2019s understanding of quantitative and algebraic concepts or for proficiency in basic computations.\n\nThe acquisition of specialized mathematical vocabulary and language is crucial to a student\u2019s understanding and appreciation of the subject and fosters confidence in mathematics communication and problem solving.\n\nProblem-solving is integrated throughout the content strands. The development of problem-solving skills is a major goal of the mathematics program at every grade level. The development of skills and problem-solving strategies must be integrated early and continuously into each student\u2019s mathematics education.","CFItemType":"Grade","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Grade","identifier":"9f7412c0-f477-4485-891b-d8a0b63c2c7e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/9f7412c0-f477-4485-891b-d8a0b63c2c7e"}},{"identifier":"e672912e-e1dc-4838-96dc-141df3b9a4df","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/e672912e-e1dc-4838-96dc-141df3b9a4df","fullStatement":"Number and Number Sense","humanCodingScheme":"4.NS","CFItemType":"Strand","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"6c54f7da-00c4-4fa1-aa59-b9dfc53d199c","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/6c54f7da-00c4-4fa1-aa59-b9dfc53d199c","fullStatement":"The student will use place value understanding to read, write, and identify the place and value of each digit in a nine-digit whole number. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"4.NS.1","CFItemType":"Standard","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"0627a338-d9b6-47a1-9352-f7932f920d25","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/0627a338-d9b6-47a1-9352-f7932f920d25","fullStatement":"Read nine-digit whole numbers, presented in standard form, and represent the same number in written form.","humanCodingScheme":"4.NS.1a","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"35a87b3f-517c-41e8-91cd-3a5ef92205cb","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/35a87b3f-517c-41e8-91cd-3a5ef92205cb","fullStatement":"Write nine-digit whole numbers in standard form when the numbers are presented orally or in written form.","humanCodingScheme":"4.NS.1b","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"77787709-fa06-46d5-b28c-b2a5ccded816","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/77787709-fa06-46d5-b28c-b2a5ccded816","fullStatement":"Apply patterns within the base 10 system to determine and communicate, orally and in written form, the place and value of each digit in a nine-digit whole number (e.g., in 568,165,724, the\n8 represents 8 millions and its value is 8,000,000).","humanCodingScheme":"4.NS.1c","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"1e88da88-f82d-41b8-aedc-7207e5a2edcc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/1e88da88-f82d-41b8-aedc-7207e5a2edcc","fullStatement":"The student will demonstrate an understanding of the base 10 system to compare and order whole numbers up to seven digits.","humanCodingScheme":"4.NS.2","CFItemType":"Standard","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"d6cee202-5e53-4504-8fb4-0021c6322746","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d6cee202-5e53-4504-8fb4-0021c6322746","fullStatement":"Compare two whole numbers up to seven digits each, using words (greater than, less than, equal to, not equal to) and/or using symbols ($>, <, =, \\not\\approx$).","humanCodingScheme":"4.NS.2a","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"0f23af44-d5ca-4b85-b8e8-16ddbfa86538","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/0f23af44-d5ca-4b85-b8e8-16ddbfa86538","fullStatement":"Order up to four whole numbers up to seven digits each, from least to greatest or greatest to least.","humanCodingScheme":"4.NS.2b","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"ad722eb2-9568-4b4a-8c3e-f5be2c751562","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/ad722eb2-9568-4b4a-8c3e-f5be2c751562","fullStatement":"The student will use mathematical reasoning and justification to represent, compare, and order fractions (proper, improper, and mixed numbers with denominators 12 or less), with and without models. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"4.NS.3","CFItemType":"Standard","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"0c0c4300-08bf-4d9d-862d-1f1ee339b372","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/0c0c4300-08bf-4d9d-862d-1f1ee339b372","fullStatement":"Represent equivalent fractions with denominators of 12 or less, with and without models.*","humanCodingScheme":"4.NS.3e","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"08759c76-68d2-4f28-9651-01f5a340f08c","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/08759c76-68d2-4f28-9651-01f5a340f08c","fullStatement":"Compose and decompose fractions (proper and improper) and/or mixed numbers with denominators of 12 or less, in multiple ways, with and without models.*","humanCodingScheme":"4.NS.3f","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"8ba295e1-aaae-4c4d-83d1-894d17d2b60b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/8ba295e1-aaae-4c4d-83d1-894d17d2b60b","fullStatement":"The student will use mathematical reasoning and justification to represent, compare, and order decimals through thousandths, with and without models. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"4.NS.4","CFItemType":"Standard","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"4bfb94b2-7cc8-4a45-8d35-1a11a508c206","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/4bfb94b2-7cc8-4a45-8d35-1a11a508c206","fullStatement":"Investigate and describe the ten-to-one place value relationship for decimals through thousandths, using concrete models (e.g., place value mats/charts, decimal squares, base 10 blocks).","humanCodingScheme":"4.NS.4a","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"6bf3e430-07cf-4259-86e8-fd0a600b13e3","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/6bf3e430-07cf-4259-86e8-fd0a600b13e3","fullStatement":"Represent and identify decimals expressed through thousandths, using concrete, pictorial, and numerical representations.","humanCodingScheme":"4.NS.4b","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"ea1be390-11e3-427f-9af7-a3027b7a7240","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/ea1be390-11e3-427f-9af7-a3027b7a7240","fullStatement":"Read and write decimals expressed through thousandths, using concrete, pictorial, and numerical representations.","humanCodingScheme":"4.NS.4c","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"31f8c5c6-9b48-417e-b1c6-dc81eb850d0a","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/31f8c5c6-9b48-417e-b1c6-dc81eb850d0a","fullStatement":"Identify and communicate, both orally and in written form, the place and value of each digit in a decimal through thousandths (e.g., given 0.385, the 8 is in the hundredths place and has a value of 0.08).","humanCodingScheme":"4.NS.4d","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"3938a1da-7095-4da2-a1f1-70e919962447","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/3938a1da-7095-4da2-a1f1-70e919962447","fullStatement":"Compare using symbols ($<, >, =$) and/or words (greater than, less than, equal to) and order (least to greatest and greatest to least), a set of no more than four decimals expressed through thousandths, using multiple strategies (e.g., benchmarks, place value, number lines). Justify comparisons with a model, orally, and in writing.","humanCodingScheme":"4.NS.4e","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"4d671364-a365-480e-83e0-490ba020e055","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/4d671364-a365-480e-83e0-490ba020e055","fullStatement":"The student will reason about the relationship between fractions and decimals (limited to halves, fourths, fifths, tenths, and hundredths) to identify and represent equivalencies. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"4.NS.5","CFItemType":"Standard","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"6888f0ea-fc74-4863-b12b-7f70d7c6c87f","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/6888f0ea-fc74-4863-b12b-7f70d7c6c87f","fullStatement":"Represent fractions (proper or improper) and/or mixed numbers as decimals through hundredths, using multiple representations, limited to halves, fourths, fifths, tenths, and hundredths.*","humanCodingScheme":"4.NS.5a","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"7e500aa7-4fa5-4165-b00a-29dad8633953","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/7e500aa7-4fa5-4165-b00a-29dad8633953","fullStatement":"Identify and model equivalent relationships between fractions (proper or improper) and/or mixed numbers and decimals, using halves, fourths, fifths, tenths, and hundredths.*","humanCodingScheme":"4.NS.5b","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"cf81585c-3404-4c63-baff-4fa2e4c042b3","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/cf81585c-3404-4c63-baff-4fa2e4c042b3","fullStatement":"Computation and Estimation","humanCodingScheme":"4.CE","CFItemType":"Strand","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"b3df2223-8c8f-427b-8845-2bdc52562c8e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b3df2223-8c8f-427b-8845-2bdc52562c8e","fullStatement":"The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition and subtraction with whole numbers. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"4.CE.1","CFItemType":"Standard","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"a19be7ab-f3e9-45ef-a8f2-3f5063ca898d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/a19be7ab-f3e9-45ef-a8f2-3f5063ca898d","fullStatement":"Determine and justify whether an estimate or an exact answer is appropriate when solving contextual problems involving addition and subtraction with whole numbers. Refine estimates by adjusting the final amount, using terms such as closer to, between, and a little more than.","humanCodingScheme":"4.CE.1a","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"875fe928-fd8c-425b-a741-ebef23d225a5","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/875fe928-fd8c-425b-a741-ebef23d225a5","fullStatement":"Apply strategies (e.g., rounding to the nearest 100 or 1,000, using compatible numbers, other number relationships) to estimate a solution for single-step or multistep addition or subtraction problems with whole numbers, where addends or minuends do not exceed\n10,000.*","humanCodingScheme":"4.CE.1b","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"ad05568a-9e1f-41e9-a5a1-25b04211b1f8","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/ad05568a-9e1f-41e9-a5a1-25b04211b1f8","fullStatement":"Apply strategies (e.g., place value, properties of addition, other number relationships) and algorithms, including the standard algorithm, to determine the sum or difference of two whole numbers, where addends and minuends do not exceed 10,000.*","humanCodingScheme":"4.CE.1c","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"45eb59ff-9972-4a4a-be7a-4faa4a14a1c5","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/45eb59ff-9972-4a4a-be7a-4faa4a14a1c5","fullStatement":"Estimate, represent, solve, and justify solutions to single-step and multistep contextual problems involving addition and subtraction with whole numbers where addends and minuends do not exceed 1,000,000.","humanCodingScheme":"4.CE.1d","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"d4b734d6-306c-465f-adb9-9d7e23900a33","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d4b734d6-306c-465f-adb9-9d7e23900a33","fullStatement":"The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using multiplication with whole numbers, and single-step problems, including those in context, using division with whole numbers; and recall with automaticity the multiplication facts through $12 \\times 12$ and the corresponding division facts.","humanCodingScheme":"4.CE.2","CFItemType":"Standard","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"7c8c4422-4d85-454a-a903-f4bcc65f8c15","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/7c8c4422-4d85-454a-a903-f4bcc65f8c15","fullStatement":"Determine and justify whether an estimate or an exact answer is appropriate when solving contextual problems involving multiplication and division of whole numbers. Refine estimates by adjusting the final amount, using terms such as closer to, between, and a little more than.","humanCodingScheme":"4.CE.2a","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"ea0e82fb-77bc-43ee-a25e-1a244f48b5e2","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/ea0e82fb-77bc-43ee-a25e-1a244f48b5e2","fullStatement":"Recall with automaticity the multiplication facts through $12 \\times 12$ and the corresponding division facts.*","humanCodingScheme":"4.CE.2b","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and 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Addition and subtraction with fractions may include regrouping.","humanCodingScheme":"4.CE.3b","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"37bfd379-ffbb-41bb-9bbd-460f274ed1a7","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/37bfd379-ffbb-41bb-9bbd-460f274ed1a7","fullStatement":"The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition and subtraction of decimals through the thousandths, with and without models. 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Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"4.MG.1","CFItemType":"Standard","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"386e0fa0-200b-4b12-9497-881878a949b6","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/386e0fa0-200b-4b12-9497-881878a949b6","fullStatement":"Determine an appropriate unit of measure to use when measuring:","humanCodingScheme":"4.MG.1a","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and 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meter).","humanCodingScheme":"4.MG.1a.i","CFItemType":"Component","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"d41de1c3-544c-4830-9840-c5df4812e8cb","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d41de1c3-544c-4830-9840-c5df4812e8cb","fullStatement":"*Determine an appropriate unit of measure to use when measuring* weight/mass in both U.S. Customary (ounce, pound) and metric units (gram, kilogram).","humanCodingScheme":"4.MG.1a.ii","CFItemType":"Component","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"197fee07-c079-4471-9b60-187b7974da36","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/197fee07-c079-4471-9b60-187b7974da36","fullStatement":"*Determine an appropriate unit of measure to use when measuring* liquid volume in both U.S. Customary (cup, pint, quart, gallon) and metric units (milliliter, liter).","humanCodingScheme":"4.MG.1a.iii","CFItemType":"Component","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"15312d43-3e03-413a-b9c4-d5529e12e827","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/15312d43-3e03-413a-b9c4-d5529e12e827","fullStatement":"Estimate and measure:","humanCodingScheme":"4.MG.1b","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and 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Justify solutions orally, in writing, or with a model.*","humanCodingScheme":"5.NS.1d","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"f72bb26d-b72f-4df9-b8e1-e34872499b08","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/f72bb26d-b72f-4df9-b8e1-e34872499b08","fullStatement":"The student will demonstrate an understanding of prime and composite numbers, and determine the prime factorization of a whole number up to 100. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"5.NS.2","CFItemType":"Standard","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"a47cb20f-8337-4723-953c-d4275d61bcab","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/a47cb20f-8337-4723-953c-d4275d61bcab","fullStatement":"Given a whole number up to 100, create a concrete or pictorial representation to demonstrate whether the number is prime or composite, and justify reasoning.","humanCodingScheme":"5.NS.2a","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"59e9c96a-b3fc-461a-83f3-8f91d5d70760","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/59e9c96a-b3fc-461a-83f3-8f91d5d70760","fullStatement":"Classify, compare, and contrast whole numbers up to 100 using the characteristics prime and composite.","humanCodingScheme":"5.NS.2b","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"24e435f2-82d4-410b-9371-a970d1140713","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/24e435f2-82d4-410b-9371-a970d1140713","fullStatement":"Determine the prime factorization for a whole number up to 100.","humanCodingScheme":"5.NS.2c","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"1b2b40e3-09a7-48e9-8cca-8a2c446879e7","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/1b2b40e3-09a7-48e9-8cca-8a2c446879e7","fullStatement":"Computation and Estimation","humanCodingScheme":"5.CE","CFItemType":"Strand","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"e4e1e171-ddb8-4876-b107-c0feae6e40df","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/e4e1e171-ddb8-4876-b107-c0feae6e40df","fullStatement":"The student will estimate, represent, solve, and justify solutions to single-step and multistep contextual problems using addition, subtraction, multiplication, and division with whole numbers. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"5.CE.1","CFItemType":"Standard","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"b5da6e50-88ab-4ef3-af84-dcdb6e745f1f","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b5da6e50-88ab-4ef3-af84-dcdb6e745f1f","fullStatement":"Estimate the sum, difference, product, and quotient of whole numbers in contextual problems.","humanCodingScheme":"5.CE.1a","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and 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Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"c3167831-fed0-4fe7-a8b4-68a2a7dd1e96","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/c3167831-fed0-4fe7-a8b4-68a2a7dd1e96","fullStatement":"*Represent, solve, and justify solutions to single-step and multistep contextual problems by applying strategies (e.g., estimation, properties of addition and multiplication) and algorithms, including the standard algorithm, involving addition, subtraction, multiplication, and division of whole numbers, with and without remainders, in which* sums, differences, and products do not exceed five 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Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"5.PS.2","CFItemType":"Standard","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"f8d23a58-3a5b-49f3-9235-eb6200461891","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/f8d23a58-3a5b-49f3-9235-eb6200461891","fullStatement":"Describe mean as fair share.","humanCodingScheme":"5.PS.2a","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"36606858-d98c-49df-abf0-11f1b6e8dc75","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/36606858-d98c-49df-abf0-11f1b6e8dc75","fullStatement":"Describe and determine the mean of a set of data values representing data from a given context as a measure of center.","humanCodingScheme":"5.PS.2b","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"7c00d9bf-ea52-46ea-87b7-92b16fa782e3","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/7c00d9bf-ea52-46ea-87b7-92b16fa782e3","fullStatement":"Describe and determine the median of a set of data values representing data from a given context as a measure of center.","humanCodingScheme":"5.PS.2c","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"6c03f383-61f9-4b57-96d9-371fa602a11b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/6c03f383-61f9-4b57-96d9-371fa602a11b","fullStatement":"Describe and determine the mode of a set of data values representing data from a given context as a measure of center.","humanCodingScheme":"5.PS.2d","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"64a4c283-25b7-4b12-859c-65f3e3b5f710","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/64a4c283-25b7-4b12-859c-65f3e3b5f710","fullStatement":"Describe and determine the range of a set of data values representing data from a given context as a measure of spread.","humanCodingScheme":"5.PS.2e","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"4967b63c-6a99-4a2f-98df-8fbf699645a5","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/4967b63c-6a99-4a2f-98df-8fbf699645a5","fullStatement":"The student will determine the probability of an outcome by constructing a model of a sample space and using the Fundamental (Basic) Counting Principle. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"5.PS.3","CFItemType":"Standard","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"75468913-9954-46a9-9415-21103a7d5224","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/75468913-9954-46a9-9415-21103a7d5224","fullStatement":"Determine the probability of an outcome by constructing a sample space (with a total of 24 or fewer equally likely possible outcomes), using a tree diagram, list, or chart to represent and determine all possible outcomes.","humanCodingScheme":"5.PS.3a","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"2fffa487-d643-48e5-bc27-38bc31f41941","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/2fffa487-d643-48e5-bc27-38bc31f41941","fullStatement":"Determine the number of possible outcomes by using the Fundamental (Basic) Counting Principle.","humanCodingScheme":"5.PS.3b","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"3cd836af-f72d-4693-afee-ef6ba0c1d328","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/3cd836af-f72d-4693-afee-ef6ba0c1d328","fullStatement":"Patterns, Functions, and Algebra","humanCodingScheme":"5.PFA","CFItemType":"Strand","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"428bc8f7-3e8c-4e05-8655-9471632f7dc5","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/428bc8f7-3e8c-4e05-8655-9471632f7dc5","fullStatement":"The student will identify, describe, extend, and create increasing and decreasing patterns with whole numbers, fractions, and decimals, including those in context, using various representations. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"5.PFA.1","CFItemType":"Standard","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"722ce93c-47b7-4204-a623-84ab6b4f631a","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/722ce93c-47b7-4204-a623-84ab6b4f631a","fullStatement":"Identify, describe, extend, and create increasing and decreasing patterns using various representations (e.g., objects, pictures, numbers, number lines, input/output tables, function machines).","humanCodingScheme":"5.PFA.1a","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"921696cb-00fd-4230-a99c-6eee0009045e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/921696cb-00fd-4230-a99c-6eee0009045e","fullStatement":"Analyze an increasing or decreasing single-operation numerical pattern found in lists, input/output tables, and function machines, and generalize the change to identify the rule, extend the pattern, or identify missing terms. (Patterns will be limited to addition, subtraction, multiplication, and division of whole numbers; addition and subtraction of fractions with like denominators of 12 or less; and addition and subtraction of decimals expressed in tenths or hundredths).","humanCodingScheme":"5.PFA.1b","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"c4401baa-b0e5-496c-92c3-352fda95e5ae","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/c4401baa-b0e5-496c-92c3-352fda95e5ae","fullStatement":"Solve contextual problems that involve identifying, describing, and extending increasing and decreasing patterns using single-operation input and output rules (limited to addition, subtraction, multiplication, and division of whole numbers; addition and subtraction of fractions with like denominators of 12 or less; and addition and subtraction of decimals expressed in tenths or hundredths).","humanCodingScheme":"5.PFA.1c","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-06T04:05:13+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"9bb1a5fa-c764-48d2-96c6-6963fac9d64c","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/9bb1a5fa-c764-48d2-96c6-6963fac9d64c","fullStatement":"The student will investigate and use variables in contextual problems. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"5.PFA.2","CFItemType":"Standard","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"af0a4ee2-b4cb-481f-aa34-dba8871e52f3","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/af0a4ee2-b4cb-481f-aa34-dba8871e52f3","fullStatement":"Describe the concept of a variable (presented as a box, letter, or other symbol) as a representation of an unknown quantity.","humanCodingScheme":"5.PFA.2a","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"54f68862-33be-4646-8e18-90636596fa17","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/54f68862-33be-4646-8e18-90636596fa17","fullStatement":"Write an equation (with a single variable that represents an unknown quantity and one operation) from a contextual situation, using addition, subtraction, multiplication, or division.","humanCodingScheme":"5.PFA.2b","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"8129150c-46f3-4e22-a2ce-4f1fa37f2eef","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/8129150c-46f3-4e22-a2ce-4f1fa37f2eef","fullStatement":"Use an expression with a variable to represent a given verbal expression involving one operation (e.g., \u201c $5$ more than a number\u201d can be represented by $y + 5$).","humanCodingScheme":"5.PFA.2c","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"4adbccb6-f745-49a9-b92a-3c03345b5c30","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/4adbccb6-f745-49a9-b92a-3c03345b5c30","fullStatement":"Create and write a word problem to match a given equation with a single variable and one operation.","humanCodingScheme":"5.PFA.2d","CFItemType":"Knowledge and Skill","educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"b992b5e8-ae07-4dd8-928c-ec19aa736f14","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b992b5e8-ae07-4dd8-928c-ec19aa736f14","fullStatement":"Grade 6","notes":"The Grade 6 Standards provide a transition from the emphasis placed on whole number arithmetic in the elementary grades to an introduction to algebraic thinking. The Standards include a focus on single-step and multistep problems involving operations with integers and positive rational numbers. Students will determine equivalency, compare, and order decimals, fractions, and percents. Students will solve problems involving area and perimeter and begin to graph in a coordinate plane. In addition, students will continue using the data cycle by applying it to circle graphs and develop concepts regarding measures of center. Students will solve linear equations in one variable, write inequality statements, and use algebraic terminology. Students will use ratios to compare two quantities and represent proportional relationships as a precursor to the development of the concept of linear functions.\n\nThe building of mathematical knowledge can be enhanced by using technology tools when used strategically and to complement further learning during grades 6-8. The use of appropriate technology and the interpretation of the results from applying technology tools must be an integral part of teaching, learning, and assessment. However, facility in the use of technology shall not be regarded as a substitute for a student\u2019s understanding of quantitative and algebraic concepts or for proficiency in basic computations. Students must learn to use a variety of methods and tools to compute, including paper and pencil, mental arithmetic, estimation, and the use of instructional technology. Graphing utilities, spreadsheets, calculators, dynamic applications, and other technological tools support mathematical problem solving, reasoning, and justification, as well as application in science, engineering, business and industry, government, and practical affairs.\n\nIn grades 6-8, the acquisition of specialized mathematical vocabulary and language builds as students continue to deepen their understanding of mathematics through communication and problem solving.\n\nProblem solving increases in complexity as students progress into middle and high school. Students continue to build upon their mathematical knowledge by participating in problem-solving activities that promote higher levels of critical thinking and analysis.","CFItemType":"Grade","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Grade","identifier":"9f7412c0-f477-4485-891b-d8a0b63c2c7e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/9f7412c0-f477-4485-891b-d8a0b63c2c7e"}},{"identifier":"83ce690f-6f1b-4c38-912e-077fd582442d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/83ce690f-6f1b-4c38-912e-077fd582442d","fullStatement":"Number and Number Sense","humanCodingScheme":"6.NS","CFItemType":"Strand","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"a63486a1-95dc-41f0-af57-18e93292ad00","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/a63486a1-95dc-41f0-af57-18e93292ad00","fullStatement":"The student will reason and use multiple strategies to express equivalency, compare, and order numbers written as fractions, mixed numbers, decimals, and percents. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"6.NS.1","CFItemType":"Standard","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"da48ea0f-c6af-41ba-a4ef-1627208e238d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/da48ea0f-c6af-41ba-a4ef-1627208e238d","fullStatement":"Estimate and determine the percent represented by a given model (e.g., number line, picture, verbal description), including percents greater than 100% and less than 1%.*","humanCodingScheme":"6.NS.1a","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"f0397ee2-75d8-439a-81cf-b1f90fa2166b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/f0397ee2-75d8-439a-81cf-b1f90fa2166b","fullStatement":"Represent and determine equivalencies among decimals (through the thousandths place) and percents incorporating the use of number lines, and concrete and pictorial models.*","humanCodingScheme":"6.NS.1b","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"6103c6a5-01f4-4218-827a-17bc7c426c9a","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/6103c6a5-01f4-4218-827a-17bc7c426c9a","fullStatement":"Represent and determine equivalencies among fractions (proper or improper) and mixed numbers that have denominators that are 12 or less or factors of 100 and percents incorporating the use of number lines, and concrete and pictorial models.*","humanCodingScheme":"6.NS.1c","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"36fc4f65-1621-44bb-be00-6be17c3cab64","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/36fc4f65-1621-44bb-be00-6be17c3cab64","fullStatement":"Represent and determine equivalencies among decimals, percents, fractions (proper or improper), and mixed numbers that have denominators that are 12 or less or factors of 100 incorporating the use of number lines, and concrete and pictorial models.*","humanCodingScheme":"6.NS.1d","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"dd8f2564-afca-4108-a5c4-d31e06ff7895","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/dd8f2564-afca-4108-a5c4-d31e06ff7895","fullStatement":"Use multiple strategies (e.g., benchmarks, number line, equivalency) to compare and order no more than four positive rational numbers expressed as fractions (proper or improper), mixed numbers, decimals, and percents (decimals through thousandths, fractions with denominators of 12 or less or factors of 100) with and without models. Justify solutions orally, in writing or with a model. Ordering may be in ascending or descending order.*","humanCodingScheme":"6.NS.1e","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"7283736c-af59-42b9-91b6-efdc014b35e4","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/7283736c-af59-42b9-91b6-efdc014b35e4","fullStatement":"The student will reason and use multiple strategies to represent, compare, and order integers. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"6.NS.2","CFItemType":"Standard","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"5c3e9186-c7d8-44ee-ae4a-293f354dcf4a","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/5c3e9186-c7d8-44ee-ae4a-293f354dcf4a","fullStatement":"Represent integers (e.g., number lines, concrete materials, pictorial models), including models derived from contextual situations, and identify an integer represented by a point on a number line.","humanCodingScheme":"6.NS.2a","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"b7f1a0bb-8f7e-4659-a09a-0dd27444b0b1","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b7f1a0bb-8f7e-4659-a09a-0dd27444b0b1","fullStatement":"Compare and order integers using a number line.","humanCodingScheme":"6.NS.2b","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"389a0c3d-e2d8-410e-a8d0-0d07b1769451","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/389a0c3d-e2d8-410e-a8d0-0d07b1769451","fullStatement":"Compare integers, using mathematical symbols ($<, >, =$).","humanCodingScheme":"6.NS.2c","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"e35d3d87-87df-484c-97fa-42873bf31755","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/e35d3d87-87df-484c-97fa-42873bf31755","fullStatement":"Identify and describe the absolute value of an integer as the distance from zero on the number line.","humanCodingScheme":"6.NS.2d","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"6dc03ec2-027e-44c2-81be-69208421c020","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/6dc03ec2-027e-44c2-81be-69208421c020","fullStatement":"The student will recognize and represent patterns with whole number exponents and perfect squares. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"6.NS.3","CFItemType":"Standard","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"6fef4476-9d7b-4782-a8af-9120e9aacdd7","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/6fef4476-9d7b-4782-a8af-9120e9aacdd7","fullStatement":"Recognize and represent patterns with bases and exponents that are whole numbers.","humanCodingScheme":"6.NS.3a","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"f89ddd71-b011-4a47-a40a-f9441bbc380e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/f89ddd71-b011-4a47-a40a-f9441bbc380e","fullStatement":"Recognize and represent patterns of perfect squares not to exceed $20^2$ , by using concrete and pictorial models.","humanCodingScheme":"6.NS.3b","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"aef16f8a-3b2c-42ce-872d-618049ff5ceb","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/aef16f8a-3b2c-42ce-872d-618049ff5ceb","fullStatement":"Justify if a number between 0 and 400 is a perfect square through modeling or mathematical reasoning.","humanCodingScheme":"6.NS.3c","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"216d1719-747f-4a03-afb6-120d560eb225","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/216d1719-747f-4a03-afb6-120d560eb225","fullStatement":"Recognize and represent powers of 10 with whole number exponents by examining patterns in place value.","humanCodingScheme":"6.NS.3d","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"8b0bd902-7bb6-4aeb-bcf9-b2374ca8c7fa","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/8b0bd902-7bb6-4aeb-bcf9-b2374ca8c7fa","fullStatement":"Computation and Estimation","humanCodingScheme":"6.CE","CFItemType":"Strand","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"b6211ce7-6910-4028-ad67-cb79ddbb9fbe","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b6211ce7-6910-4028-ad67-cb79ddbb9fbe","fullStatement":"The student will estimate, demonstrate, solve, and justify solutions to problems using operations with fractions and mixed numbers, including those in context. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"6.CE.1","CFItemType":"Standard","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"5b300cb7-d279-4799-aed6-c2599c45230e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/5b300cb7-d279-4799-aed6-c2599c45230e","fullStatement":"Demonstrate/model multiplication and division of fractions (proper or improper) and mixed numbers using multiple representations.*","humanCodingScheme":"6.CE.1a","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"a855fa1d-8844-4a36-a827-35df6bad985c","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/a855fa1d-8844-4a36-a827-35df6bad985c","fullStatement":"Multiply and divide fractions (proper or improper) and mixed numbers that include denominators of 12 or less. 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involving circumference and area of a circle when given the length of the diameter or radius.","humanCodingScheme":"6.MG.1e","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"841dcb34-9f21-419a-9c64-3e80086a501e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/841dcb34-9f21-419a-9c64-3e80086a501e","fullStatement":"The student will reason mathematically to solve problems, including those in context, that involve the area and perimeter of triangles and parallelograms. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"6.MG.2","CFItemType":"Standard","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"478f78df-27fd-430f-b5f0-4daae3ea8dd7","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/478f78df-27fd-430f-b5f0-4daae3ea8dd7","fullStatement":"Develop the formula for determining the area of parallelograms and triangles using pictorial representations and concrete manipulatives (e.g., two-dimensional diagrams, grid paper).","humanCodingScheme":"6.MG.2a","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"ebeb059e-be3d-4f9b-92ad-bbac7793a38b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/ebeb059e-be3d-4f9b-92ad-bbac7793a38b","fullStatement":"Solve problems, including those in context, involving the perimeter and area of triangles and parallelograms.","humanCodingScheme":"6.MG.2b","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"9fc603d1-f0c8-43bd-b2ce-2c75ec9492be","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/9fc603d1-f0c8-43bd-b2ce-2c75ec9492be","fullStatement":"The student will describe the characteristics of the coordinate plane and graph ordered pairs. 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Numeric terms are limited to integers.","humanCodingScheme":"6.PFA.3c","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"d0728a45-ae79-4e80-8f1d-fa62b95c19bf","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d0728a45-ae79-4e80-8f1d-fa62b95c19bf","fullStatement":"Confirm solutions to one-step linear equations in one variable using a variety of concrete manipulatives and pictorial representations (e.g., colored chips, algebra tiles, weights on a balance scale).","humanCodingScheme":"6.PFA.3d","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"38e35f9b-028d-4215-a20d-2c3fabcf85fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/38e35f9b-028d-4215-a20d-2c3fabcf85fc","fullStatement":"Write a one-step linear equation in one variable to represent a verbal situation, including those in context.","humanCodingScheme":"6.PFA.3e","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"354c97c2-fd47-4d5a-9907-eb1917540e48","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/354c97c2-fd47-4d5a-9907-eb1917540e48","fullStatement":"Create a verbal situation in context given a one-step linear equation in one variable.","humanCodingScheme":"6.PFA.3f","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"75f74f0e-6713-4909-aecc-c830f0ec2c41","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/75f74f0e-6713-4909-aecc-c830f0ec2c41","fullStatement":"The student will represent a contextual situation using a linear inequality in one variable with symbols and graphs on a number line. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"6.PFA.4","CFItemType":"Standard","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"aaaa371d-dca1-4f51-9575-bea7dd338f18","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/aaaa371d-dca1-4f51-9575-bea7dd338f18","fullStatement":"Given the graph of a linear inequality in one variable on a number line, represent the inequality in two equivalent ways (e.g., $x < -5$ or $-5 > x$) using symbols. Symbols include $<, >, \u2264, \u2265$.","humanCodingScheme":"6.PFA.4a","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"7fb943c0-778e-4883-ace5-5ed541365876","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/7fb943c0-778e-4883-ace5-5ed541365876","fullStatement":"Write a linear inequality in one variable to represent a given constraint or condition in context or given a graph on a number line.","humanCodingScheme":"6.PFA.4b","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"85d3c0eb-20b8-4760-8e09-df2c7f1a4c73","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/85d3c0eb-20b8-4760-8e09-df2c7f1a4c73","fullStatement":"Given a linear inequality in one variable, create a corresponding contextual situation or create a number line graph.","humanCodingScheme":"6.PFA.4c","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"ec983f28-0730-45ea-aa40-cbb79fb24b0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/ec983f28-0730-45ea-aa40-cbb79fb24b0d","fullStatement":"Use substitution or a number line graph to justify whether a given number in a specified set makes a linear inequality in one variable true.","humanCodingScheme":"6.PFA.4d","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"5c705622-1852-422d-b785-f0f3bbcb8103","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/5c705622-1852-422d-b785-f0f3bbcb8103","fullStatement":"Identify a numerical value(s) that is part of the solution set of a given inequality in one variable.","humanCodingScheme":"6.PFA.4e","CFItemType":"Knowledge and Skill","educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"1c069e9f-0b5b-4f5b-b9c3-6a794ad2b607","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/1c069e9f-0b5b-4f5b-b9c3-6a794ad2b607","fullStatement":"Grade 7","notes":"The Grade 7 Standards continue to emphasize the foundations of Algebra. The Standards address the representation and comparison of rational numbers using exponents, scientific notation, and square roots. Students continue to develop proficiency in operations with rational numbers and solving problems in context by expanding their study from Grade 6. Students will build on the concept of ratios to solve problems involving proportional reasoning, which is emphasized throughout the Grade 7 Standards. Students will solve problems involving volume and surface area and focus on the relationships among the properties of quadrilaterals. In addition, students will continue to apply the data cycle and extend the application to histograms. Probability is investigated through comparing experimental results to theoretical expectations. Students continue to develop their understanding of solving linear equations and inequalities in one variable by applying the properties of real numbers. Students investigate proportional relationships and begin to develop a concept of slope as rate of change.\n\nThe building of mathematical knowledge can be enhanced by using technology tools when used strategically and to complement further learning during grades 6-8. The use of appropriate technology and the interpretation of the results from applying technology tools must be an integral part of teaching, learning, and assessment. However, facility in the use of technology shall not be regarded as a substitute for a student\u2019s understanding of quantitative and algebraic concepts or for proficiency in basic computations. Students must learn to use a variety of methods and tools to compute, including paper and pencil, mental arithmetic, estimation, and the use of instructional technology. Graphing utilities, spreadsheets, calculators, dynamic applications, and other technological tools support mathematical problem solving, reasoning, and justification, as well as application in science, engineering, business and industry, government, and practical affairs.\n\nIn grades 6-8, the acquisition of specialized mathematical vocabulary and language builds as students continue to deepen their understanding of mathematics through communication and problem solving.\n\nProblem solving increases in complexity as students progress into middle and high school. Students continue to build upon their mathematical knowledge by participating in problem-solving activities that promote higher levels of critical thinking and analysis.","CFItemType":"Grade","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Grade","identifier":"9f7412c0-f477-4485-891b-d8a0b63c2c7e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/9f7412c0-f477-4485-891b-d8a0b63c2c7e"}},{"identifier":"be787f2a-6582-4661-a2de-696aec523d7d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/be787f2a-6582-4661-a2de-696aec523d7d","fullStatement":"Number and Number Sense","humanCodingScheme":"7.NS","CFItemType":"Strand","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"37a9c511-3dbc-4446-ad99-bbe06ce59110","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/37a9c511-3dbc-4446-ad99-bbe06ce59110","fullStatement":"The student will investigate and describe the concept of exponents for powers of ten and compare and order numbers greater than zero written in scientific notation. 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Ordering may be in ascending or descending order.*","humanCodingScheme":"7.NS.1d","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this knowledge and skill are assessed without the use of a calculator."},{"identifier":"87dd43bd-a7fc-4a47-a37b-560bbaac9d11","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/87dd43bd-a7fc-4a47-a37b-560bbaac9d11","fullStatement":"The student will reason and use multiple strategies to compare and order rational numbers. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"7.NS.2","CFItemType":"Standard","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"e765a496-7654-4c96-8c91-0086485a7d34","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/e765a496-7654-4c96-8c91-0086485a7d34","fullStatement":"Use multiple strategies (e.g., benchmarks, number line, equivalency) to compare (using symbols $<, >, =$) and order (a set of no more than four) rational numbers expressed as integers, fractions (proper or improper), mixed numbers, decimals, and percents. Fractions and mixed numbers may be positive or negative. Decimals may be positive or negative and are limited to the thousandths place. Ordering may be in ascending or descending order. Justify solutions orally, in writing or with a model.*","humanCodingScheme":"7.NS.2a","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this knowledge and skill are assessed without the use of a calculator."},{"identifier":"422438cf-e858-4210-9e54-59649a84aa39","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/422438cf-e858-4210-9e54-59649a84aa39","fullStatement":"The student will recognize and describe the relationship between square roots and perfect squares. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"7.NS.3","CFItemType":"Standard","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"8cd3176d-8e17-45e9-a614-79d780af72fe","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/8cd3176d-8e17-45e9-a614-79d780af72fe","fullStatement":"Determine the positive square root of a perfect square from 0 to 400.*","humanCodingScheme":"7.NS.3a","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this knowledge and skill are assessed without the use of a calculator."},{"identifier":"53d93195-e3ad-4a39-a061-567cab788b10","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/53d93195-e3ad-4a39-a061-567cab788b10","fullStatement":"Describe the relationship between square roots and perfect squares.*","humanCodingScheme":"7.NS.3b","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this knowledge and skill are assessed without the use of a calculator."},{"identifier":"4c2701a1-17bf-453a-97b1-f4778e81578a","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/4c2701a1-17bf-453a-97b1-f4778e81578a","fullStatement":"Computation and Estimation","humanCodingScheme":"7.CE","CFItemType":"Strand","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"657b79f1-237a-4d51-8b10-8aa5edb13702","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/657b79f1-237a-4d51-8b10-8aa5edb13702","fullStatement":"The student will estimate, solve, and justify solutions to multistep contextual problems involving operations with rational numbers. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"7.CE.1","CFItemType":"Standard","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"0cc88913-93fe-463a-81f5-b7e8c6b95a31","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/0cc88913-93fe-463a-81f5-b7e8c6b95a31","fullStatement":"Estimate, solve, and justify solutions to contextual problems involving addition, subtraction, multiplication, and division with rational numbers expressed as integers, fractions (proper or improper), mixed numbers, and decimals. Fractions may be positive or negative. Decimals may be positive or negative and are limited to the thousandths place.","humanCodingScheme":"7.CE.1a","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"b2693bcb-93eb-4fcf-bef5-32fb72acde0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b2693bcb-93eb-4fcf-bef5-32fb72acde0d","fullStatement":"The student will solve problems, including those in context, involving proportional relationships. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"7.CE.2","CFItemType":"Standard","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"f02e74ce-3180-4574-ab26-58ac131e11d2","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/f02e74ce-3180-4574-ab26-58ac131e11d2","fullStatement":"Given a proportional relationship between two quantities, create and use a ratio table to determine missing values.","humanCodingScheme":"7.CE.2a","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"3667075a-0534-4b5e-83e3-cb6370347805","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/3667075a-0534-4b5e-83e3-cb6370347805","fullStatement":"Write and solve a proportion that represents a proportional relationship between two quantities to find a missing value, including problems in context.","humanCodingScheme":"7.CE.2b","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"a9288c79-17b9-44bd-a78d-4f30f221c774","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/a9288c79-17b9-44bd-a78d-4f30f221c774","fullStatement":"Apply proportional reasoning to solve problems in context, including converting units of measurement, when given the conversion factor.","humanCodingScheme":"7.CE.2c","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"b9c0d5ef-32ad-4c69-9dad-cd49b6ce837b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b9c0d5ef-32ad-4c69-9dad-cd49b6ce837b","fullStatement":"Estimate and determine the percentage of a given whole number, including but not limited to the use of benchmark percentages.","humanCodingScheme":"7.CE.2d","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"33f0900a-6f6e-43ba-a97c-4e85ae136ce8","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/33f0900a-6f6e-43ba-a97c-4e85ae136ce8","fullStatement":"Measurement and Geometry","humanCodingScheme":"7.MG","CFItemType":"Strand","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"d9cd622c-6928-41da-89c3-c0127b52b2f6","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d9cd622c-6928-41da-89c3-c0127b52b2f6","fullStatement":"The student will investigate and determine the volume formula for right cylinders and the surface area formulas for rectangular prisms and right cylinders and apply the formulas in context. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"7.MG.1","CFItemType":"Standard","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"ca9de078-5c06-47a4-8b79-9a19187233b1","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/ca9de078-5c06-47a4-8b79-9a19187233b1","fullStatement":"Develop the formulas for determining the volume of right cylinders and solve problems, including those in contextual situations, using concrete objects, diagrams, and formulas.","humanCodingScheme":"7.MG.1a","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"2484e108-3b53-4244-b53a-19174a3e6a76","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/2484e108-3b53-4244-b53a-19174a3e6a76","fullStatement":"Develop the formulas for determining the surface area of rectangular prisms and right cylinders and solve problems, including those in contextual situations, using concrete objects, two-dimensional diagrams, nets, and formulas.","humanCodingScheme":"7.MG.1b","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"57cb40c7-9753-4409-b29a-8d97a8698a4a","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/57cb40c7-9753-4409-b29a-8d97a8698a4a","fullStatement":"Determine if a problem in context, involving a rectangular prism or right cylinder, represents the application of volume or surface area.","humanCodingScheme":"7.MG.1c","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"4fd4dcbe-1478-470f-a610-a0e2636680dc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/4fd4dcbe-1478-470f-a610-a0e2636680dc","fullStatement":"The student will compare and contrast quadrilaterals based on their properties and determine unknown side lengths and angle measures of quadrilaterals. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"7.MG.3","CFItemType":"Standard","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"763a3c55-3dbb-4f1a-a313-9ffd1da9f869","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/763a3c55-3dbb-4f1a-a313-9ffd1da9f869","fullStatement":"Compare and contrast properties of the following quadrilaterals: parallelogram, rectangle, square, rhombus, and trapezoid:","humanCodingScheme":"7.MG.3a","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and 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diagonals.","humanCodingScheme":"7.MG.3a.i","CFItemType":"Component","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"7b2935d7-6e6a-4248-a87b-650b4c55d6e5","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/7b2935d7-6e6a-4248-a87b-650b4c55d6e5","fullStatement":"*Compare and contrast properties of the following quadrilaterals: parallelogram, rectangle, square, rhombus, and trapezoid* congruence of angle measures, side, and diagonal lengths.","humanCodingScheme":"7.MG.3a.ii","CFItemType":"Component","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-05T00:59:47+00:00","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"}},{"identifier":"b9fa0e30-5691-459e-a084-b5be133b5fa9","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b9fa0e30-5691-459e-a084-b5be133b5fa9","fullStatement":"*Compare and contrast properties of the following quadrilaterals: parallelogram, rectangle, square, rhombus, and trapezoid* lines of 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The Grade 8 Standards are vital to providing a solid foundation in Algebra 1.\n\nThe building of mathematical knowledge can be enhanced by using technology tools when used strategically and to complement further learning during grades 6-8. The use of appropriate technology and the interpretation of the results from applying technology tools must be an integral part of teaching, learning, and assessment. However, facility in the use of technology shall not be regarded as a substitute for a student\u2019s understanding of quantitative and algebraic concepts or for proficiency in basic computations. Students must learn to use a variety of methods and tools to compute, including paper and pencil, mental arithmetic, estimation, and the use of instructional technology. Graphing utilities, spreadsheets, calculators, dynamic applications, and other technological tools support mathematical problem solving, reasoning, and justification, as well as application in science, engineering, business and industry, government, and practical affairs.\n\nIn grades 6-8, the acquisition of specialized mathematical vocabulary and language builds as students continue to deepen their understanding of mathematics through communication and problem solving.\n\nProblem solving increases in complexity as students progress into middle and high school. Students continue to build upon their mathematical knowledge by participating in problem-solving activities that promote higher levels of critical thinking and analysis.","CFItemType":"Grade","educationLevel":["08"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Grade","identifier":"9f7412c0-f477-4485-891b-d8a0b63c2c7e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/9f7412c0-f477-4485-891b-d8a0b63c2c7e"}},{"identifier":"6e8e3b2d-7581-421a-8d85-30f06ee98e5d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/6e8e3b2d-7581-421a-8d85-30f06ee98e5d","fullStatement":"Number and Number Sense","humanCodingScheme":"8.NS","CFItemType":"Strand","educationLevel":["08"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Strand","identifier":"80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/80f17a1e-7b1e-4f5d-ab30-3436cdd20a0d"}},{"identifier":"9c7f44e3-ff72-452a-9cda-91e79b5ee483","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/9c7f44e3-ff72-452a-9cda-91e79b5ee483","fullStatement":"The student will compare and order real numbers and determine the relationships between real numbers. 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Radicals may include both positive and negative square roots of values from 0 to 400 yielding an irrational number.","humanCodingScheme":"8.NS.1b","CFItemType":"Knowledge and Skill","educationLevel":["08"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"757bf975-9c26-459b-b05f-3736c1e493cc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/757bf975-9c26-459b-b05f-3736c1e493cc","fullStatement":"Use multiple strategies (e.g., benchmarks, number line, equivalency) to compare and order no more than five real numbers expressed as integers, fractions (proper or improper), decimals, mixed numbers, percents, numbers written in scientific notation, radicals, and \u03c0. Radicals may include both positive and negative square roots of values from 0 to 400. Ordering may be in ascending or descending order. Justify solutions orally, in writing or with a model.","humanCodingScheme":"8.NS.1c","CFItemType":"Knowledge and Skill","educationLevel":["08"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"18150f8f-b211-4c71-82ec-37ff7499f034","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/18150f8f-b211-4c71-82ec-37ff7499f034","fullStatement":"The student will investigate and describe the relationship between the subsets of the real number system. 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Connections between Algebra 1 and other subject areas through contextual applications may help students attach meaning to the abstract concepts of algebra.\n\nThese Standards require students to use algebra as a tool for representing and solving a variety of contextual problems. Tables and graphs will be used to interpret algebraic expressions, equations, and inequalities and to analyze behaviors of functions. These Standards include a transformational approach to graphing functions and writing equations when given the graph of the equation. Transformational graphing builds a strong connection between algebraic and graphic representations of functions.\n\nTechnology tools will be used to assist in teaching and learning. 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Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"A.EO.2","CFItemType":"Standard","educationLevel":["09","10","11","12"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"6d9f73b9-dd39-4eb2-85e0-ff48d39a5390","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/6d9f73b9-dd39-4eb2-85e0-ff48d39a5390","fullStatement":"Determine sums and differences of polynomial expressions in one variable, using a variety of strategies, including concrete objects and their related pictorial and symbolic models.","humanCodingScheme":"A.EO.2a","CFItemType":"Knowledge and Skill","educationLevel":["09","10","11","12"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"6aedf1ac-63d5-49e4-859e-f54a4323f90f","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/6aedf1ac-63d5-49e4-859e-f54a4323f90f","fullStatement":"Determine the product of polynomial expressions in one variable, using a variety of strategies, including concrete objects and their related pictorial and symbolic models, the application of the distributive property, and the use of area models. The factors should be limited to five or fewer terms (e.g., $(4x + 2)(3x + 5)$ represents four terms and $(x + 1)(2x^2 + x + 3)$ represents five terms).","humanCodingScheme":"A.EO.2b","CFItemType":"Knowledge and Skill","educationLevel":["09","10","11","12"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"1b1148b8-941d-4a52-959f-f740bf7fe5f2","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/1b1148b8-941d-4a52-959f-f740bf7fe5f2","fullStatement":"Factor completely first- and second-degree polynomials in one variable with integral coefficients. After factoring out the greatest common factor (GCF), leading coefficients should have no more than four factors.","humanCodingScheme":"A.EO.2c","CFItemType":"Knowledge and Skill","educationLevel":["09","10","11","12"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"4fc4918b-a8b5-476c-a863-ca533e911fa0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/4fc4918b-a8b5-476c-a863-ca533e911fa0","fullStatement":"Determine the quotient of polynomials, using a monomial or binomial divisor, or a completely factored divisor.","humanCodingScheme":"A.EO.2d","CFItemType":"Knowledge and Skill","educationLevel":["09","10","11","12"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"c8c3c1da-c453-4dbc-9180-160e274c9fa1","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/c8c3c1da-c453-4dbc-9180-160e274c9fa1","fullStatement":"Represent and demonstrate equality of quadratic expressions in different forms (e.g., concrete, verbal, symbolic, and graphical).","humanCodingScheme":"A.EO.2e","CFItemType":"Knowledge and Skill","educationLevel":["09","10","11","12"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"4904f985-98b1-4e2a-ad73-ac3902a58d92","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/4904f985-98b1-4e2a-ad73-ac3902a58d92","fullStatement":"The student will derive and apply the laws of exponents. 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Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"DS.13\u2020","CFItemType":"Standard","educationLevel":["09","10","11","12"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"40f70d14-16c4-4fa5-a471-5843c0d73306","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/40f70d14-16c4-4fa5-a471-5843c0d73306","fullStatement":"Select and utilize technology tools to effectively generate conventional and unconventional visualizations of data to explore patterns and/or analyze a large data set.","humanCodingScheme":"DS.13.a","CFItemType":"Knowledge and Skill","educationLevel":["09","10","11","12"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"7a86e93e-4223-43ae-9abc-edbd81a68b53","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/7a86e93e-4223-43ae-9abc-edbd81a68b53","fullStatement":"Utilize specific functions in technology tools to perform descriptive and inferential statistical analysis.","humanCodingScheme":"DS.13.b","CFItemType":"Knowledge and Skill","educationLevel":["09","10","11","12"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"25030bbd-9a6c-4b8a-8908-29531c5a2bd7","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/25030bbd-9a6c-4b8a-8908-29531c5a2bd7","fullStatement":"Utilize coding to store and extract data more effectively for data analysis.","humanCodingScheme":"DS.13.c","CFItemType":"Knowledge and Skill","educationLevel":["09","10","11","12"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"6f268989-23cd-4c03-89a2-968e0067250d","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/6f268989-23cd-4c03-89a2-968e0067250d","fullStatement":"Select and apply features of technology tools effectively to organize, summarize and gain insight from data.","humanCodingScheme":"DS.13.d","CFItemType":"Knowledge and Skill","educationLevel":["09","10","11","12"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"a0e2190b-12c7-4e50-84a4-d1194bf8cb6c","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/a0e2190b-12c7-4e50-84a4-d1194bf8cb6c","fullStatement":"Select the appropriate visualization based on context and audience and create it using technology tools to effectively communicate an idea.","humanCodingScheme":"DS.13.e","CFItemType":"Knowledge and Skill","educationLevel":["09","10","11","12"],"language":"en","lastChangeDateTime":"2024-12-05T00:47:56+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"}},{"identifier":"0d0c3daa-4902-4472-870c-5fbcfdcbe630","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/0d0c3daa-4902-4472-870c-5fbcfdcbe630","fullStatement":"Compare two fractions (proper or improper) and/or mixed numbers with like numerators of 2, 3, 4, 5, 6, 8, and 10 (e.g., $\\frac{2}{3} > \\frac{2}{8}$) using words (*greater than, less than, equal to*) and/or symbols (>, <, =), using area/region models, length models, and without models","humanCodingScheme":"3.NS.3f","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["03"],"language":"en","lastChangeDateTime":"2024-12-06T00:37:13+00:00"},{"identifier":"e85dd913-2b00-4dd9-bae0-e6b7bb33afb0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/e85dd913-2b00-4dd9-bae0-e6b7bb33afb0","fullStatement":"Compare and order no more than four fractions (proper or improper), and/or mixed numbers, with like denominators by comparing the number of parts (numerators) using fractions with denominators of $12$ or less (e.g., $\\frac{1} {5} < \\frac{3} {5}$ ). Justify comparisons orally, in writing, or with a model.*","humanCodingScheme":"4.NS.3a","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"9ec50c28-1ef7-41da-ad3a-9aa5fb8ea702","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/9ec50c28-1ef7-41da-ad3a-9aa5fb8ea702","fullStatement":"Compare and order no more than four fractions (proper or improper), and/or mixed numbers, with like numerators and unlike denominators by comparing the size of the parts using fractions with denominators of $12$ or less (e.g., $\\frac{3} {8} < \\frac{3} {5}$ ). Justify comparisons orally, in writing, or with a model.*","humanCodingScheme":"4.NS.3b","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"44fb7165-47c6-49a3-912d-ad0ece8cfdca","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/44fb7165-47c6-49a3-912d-ad0ece8cfdca","fullStatement":"Use benchmarks (e.g., $0, \\frac{1} {2}$ , or $1$) to compare and order no more than four fractions (proper or improper), and/or mixed numbers, with like and unlike denominators of $12$ or less. Justify comparisons orally, in writing, or with a model.*","humanCodingScheme":"4.NS.3c","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"1d74c9ed-7c1d-4df0-9c57-92d3f8eb95df","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/1d74c9ed-7c1d-4df0-9c57-92d3f8eb95df","fullStatement":"Compare two fractions (proper or improper) and/or mixed numbers using fractions with denominators of $12$ or less, using the symbols $>, <$, and $=$ (e.g., $\\frac{2} {3} > \\frac{1} {7}$ ). Justify comparisons orally, in writing, or with a model.*","humanCodingScheme":"4.NS.3d","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"3a37a78c-22ad-4a17-af5c-efe35d3b2a5a","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/3a37a78c-22ad-4a17-af5c-efe35d3b2a5a","fullStatement":"Represent the division of two whole numbers as a fraction given a contextual situation and a model (e.g., $\\frac{3} {5}$ means the same as $3$ divided by $5$ or $\\frac{3} {5}$ represents the amount of muffin each of five children will receive when sharing three muffins equally).","humanCodingScheme":"4.NS.3g","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T00:54:15+00:00"},{"identifier":"c8845892-9f57-43f8-a674-0eda58ff828e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/c8845892-9f57-43f8-a674-0eda58ff828e","fullStatement":"Write the decimal and fraction equivalent for a given model (e.g., $\\frac{1} {4} = 0.25$ or $0.25 = \\frac{1} {4}$ ; $1.25 = \\frac{5} {4}$ or $1\\frac{1} {4} ; 1.02 = \\frac{102} {100}$ or $1 \\frac{2} {100}$ ).*","humanCodingScheme":"4.NS.5c","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T00:56:22+00:00"},{"identifier":"b392c823-38aa-472f-b8d5-6ed0ece68f89","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/b392c823-38aa-472f-b8d5-6ed0ece68f89","fullStatement":"Estimate and determine the sum or difference of two fractions (proper or improper) and/or mixed numbers, having like denominators limited to $2, 3, 4, 5, 6, 8, 10$, and $12$ (e.g., $\\frac{3} {8} + \\frac{3} {8} , 2\\frac{1} {5} + \\frac{4} {5} , \\frac{7} {4} - \\frac{5} {4}$ ) and simplify the resulting fraction. Addition and subtraction with fractions may include regrouping.*","humanCodingScheme":"4.CE.3a","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"13207b25-b4bd-4ac6-a3a1-73119643661c","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/13207b25-b4bd-4ac6-a3a1-73119643661c","fullStatement":"Solve single-step contextual problems involving multiplication of a whole number, limited to 12 or less, and a unit fraction (e.g., $6 \\times \\frac{1} {3} , \\frac{1} {5} \\times 8, 2 \\times \\frac{1} {10}$ ), with models.*","humanCodingScheme":"4.CE.3c","CFItemType":"Knowledge and Skill","educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"5ed5129d-7b12-4f10-a5c7-4e5f838d348e","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/5ed5129d-7b12-4f10-a5c7-4e5f838d348e","fullStatement":"Apply the inverse property of multiplication in models (e.g., use a visual fraction model to represent $4 4$ or $1$ as the product of $4 \\times \\frac{1} {4}$ ).","humanCodingScheme":"4.CE.3d","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T00:58:48+00:00"},{"identifier":"d6afbba9-9e49-42d5-a3f7-e0eed8e48157","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d6afbba9-9e49-42d5-a3f7-e0eed8e48157","fullStatement":"*Estimate and measure* length of an object to the nearest U.S. Customary unit ($\\frac{1} {2}$ inch, $\\frac{1} {4}$ inch, $\\frac{1} {8}$ inch, foot, yard) and nearest metric unit (millimeter, centimeter, or meter);","humanCodingScheme":"4.MG.1b.i","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"95885dd3-dd17-4fc0-9470-f459b16eafc0","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/95885dd3-dd17-4fc0-9470-f459b16eafc0"},"educationLevel":["04"],"language":"en","lastChangeDateTime":"2024-12-06T01:02:34+00:00"},{"identifier":"3cfac7f9-2cbf-4948-b894-15ed6bddbb13","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/3cfac7f9-2cbf-4948-b894-15ed6bddbb13","fullStatement":"Estimate and determine the sum or difference of two fractions (proper or improper) and/or mixed numbers, having like and unlike denominators limited to $2, 3, 4, 5, 6, 8$, $10$, and $12$ (e.g., $\\frac{5} {8} + \\frac{1} {4} , \\frac{4} {5} \u2212 \\frac{2} {3} , 3\\frac{3} {4} + 2 \\frac{5} {12}$ ), and simplify the resulting fraction.*","humanCodingScheme":"5.CE.2b","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"3cb5b621-0f10-4489-ad4b-0d7fa6a9d525","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/3cb5b621-0f10-4489-ad4b-0d7fa6a9d525","fullStatement":"Solve single-step contextual problems involving multiplication of a whole number, limited to 12 or less, and a proper fraction (e.g., $9 \\times \\frac{2} {3} , 8 \\times \\frac{3} {4}$ ), with models. The denominator will be a factor of the whole number and answers should be expressed in simplest form.*","humanCodingScheme":"5.CE.2d","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["05"],"language":"en","lastChangeDateTime":"2024-12-06T06:13:49+00:00","notes":"\\* On the state assessment, items measuring this objective are assessed without the use of a calculator."},{"identifier":"77972de7-2e8b-4568-938f-d3068d65f0a9","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/77972de7-2e8b-4568-938f-d3068d65f0a9","fullStatement":"Simplify an expression that contains absolute value bars | | and an operation with two integers (e.g., $\u2013|5 \u2013 8|$ or $\\frac{|\u221212|} {8}$ ) and represent the result on a number line.","humanCodingScheme":"6.CE.2c","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-06T04:07:10+00:00"},{"identifier":"93834906-8007-41f4-a217-7563eb78ade1","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/93834906-8007-41f4-a217-7563eb78ade1","fullStatement":"Organize and represent data using circle graphs, with and without the use of technology tools. The number of data values should be limited to allow for comparisons that have denominators of $12$ or less or those that are factors of $100$ (e.g., in a class of $20$ students, $7$ choose apples as a favorite fruit, so the comparison is $7$ out of $20, \\frac{7} {20}$ , or $35%$).","humanCodingScheme":"6.PS.1d","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-06T04:27:35+00:00"},{"identifier":"a0aeb45c-5c50-448d-97ec-a5dd4ad4d375","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/a0aeb45c-5c50-448d-97ec-a5dd4ad4d375","fullStatement":"Represent a relationship in context that makes a comparison by using the notations $\\frac{\ud835\udc4e} {\ud835\udc4f}$, a:b, and a to b.","humanCodingScheme":"6.PFA.1b","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["06"],"language":"en","lastChangeDateTime":"2024-12-06T04:28:43+00:00"},{"identifier":"0733a6d0-e96f-4312-8b52-9dc449b2edf3","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/0733a6d0-e96f-4312-8b52-9dc449b2edf3","fullStatement":"Describe how the volume of a rectangular prism is affected when one measured attribute is multiplied by a factor of $\\frac{1} {4} , \\frac{1} {3} , \\frac{1} {2} , 2, 3$, or $4$, including those in contextual situations.","humanCodingScheme":"7.MG.1d","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-06T04:42:39+00:00"},{"identifier":"d88dadbf-3b27-4542-bf63-3642a05c4050","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d88dadbf-3b27-4542-bf63-3642a05c4050","fullStatement":"Describe how the surface area of a rectangular prism is affected when one measured attribute is multiplied by a factor of $\\frac{1} {2}$ or $2$, including those in contextual situations.","humanCodingScheme":"7.MG.1e","CFItemType":"Knowledge and Skill","CFItemTypeURI":{"title":"Knowledge and Skill","identifier":"2cb6837f-ce46-4753-903c-3b64950d58fc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/2cb6837f-ce46-4753-903c-3b64950d58fc"},"educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-06T04:42:50+00:00"},{"identifier":"8f82c343-7177-4eea-9000-27c12d2359bc","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/8f82c343-7177-4eea-9000-27c12d2359bc","fullStatement":"The student will solve problems and justify relationships of similarity using proportional reasoning. Students will demonstrate the following Knowledge and Skills:","humanCodingScheme":"7.MG.2","CFItemType":"Standard","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-06T04:44:24+00:00","CFItemTypeURI":{"title":"Standard","identifier":"25fccb29-8d69-4ae2-93b1-192215cb284b","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItemTypes/25fccb29-8d69-4ae2-93b1-192215cb284b"}},{"identifier":"d07aafeb-2f04-43ce-ba5e-6b7862126f87","uri":"https://va.satchelcommons.com/ims/case/v1p0/CFItems/d07aafeb-2f04-43ce-ba5e-6b7862126f87","fullStatement":"Identify corresponding congruent angles of similar quadrilaterals and triangles, through the use of geometric markings.","humanCodingScheme":"7.MG.2a","CFItemType":"Knowledge and Skill","educationLevel":["07"],"language":"en","lastChangeDateTime":"2024-12-06T04:44:11+00:00","CFItemTypeURI":{"title":"Knowledge and 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Exponents are limited to 1, 2, 3, or 4 and bases are limited to positive integers. Expressions should not include braces { } but may include brackets [ ] and absolute value bars | |. 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