Mathematics Standards
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Number and Operations—Fractions
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Operations and Algebraic Thinking
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Quantities
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Similarity, Right Triangles, and Trigonometry
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Showing 21 - 30 of 107 Standards
Standard Identifier: 3.NF.3.a
Grade:
3
Domain:
Number and Operations—Fractions
Cluster:
Develop understanding of fractions as numbers.
Standard:
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
Develop understanding of fractions as numbers.
Standard:
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
Standard Identifier: 3.NF.3.b
Grade:
3
Domain:
Number and Operations—Fractions
Cluster:
Develop understanding of fractions as numbers.
Standard:
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.
Develop understanding of fractions as numbers.
Standard:
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.
Standard Identifier: 3.NF.3.c
Grade:
3
Domain:
Number and Operations—Fractions
Cluster:
Develop understanding of fractions as numbers.
Standard:
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
Develop understanding of fractions as numbers.
Standard:
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
Standard Identifier: 3.NF.3.d
Grade:
3
Domain:
Number and Operations—Fractions
Cluster:
Develop understanding of fractions as numbers.
Standard:
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Develop understanding of fractions as numbers.
Standard:
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Standard Identifier: 3.OA.1
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Represent and solve problems involving multiplication and division.
Standard:
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
Represent and solve problems involving multiplication and division.
Standard:
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
Standard Identifier: 3.OA.2
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Represent and solve problems involving multiplication and division.
Standard:
Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56÷8.
Represent and solve problems involving multiplication and division.
Standard:
Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56÷8.
Standard Identifier: 3.OA.3
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Represent and solve problems involving multiplication and division.
Standard:
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Footnote:
See Glossary, Table 2.
Represent and solve problems involving multiplication and division.
Standard:
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Footnote:
See Glossary, Table 2.
Standard Identifier: 3.OA.4
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Represent and solve problems involving multiplication and division.
Standard:
Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = ÷ 3, 6 × 6 = ?.
Represent and solve problems involving multiplication and division.
Standard:
Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = ÷ 3, 6 × 6 = ?.
Standard Identifier: 3.OA.5
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Understand properties of multiplication and the relationship between multiplication and division.
Standard:
Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
Footnote:
Students need not use formal terms for these properties.
Understand properties of multiplication and the relationship between multiplication and division.
Standard:
Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
Footnote:
Students need not use formal terms for these properties.
Standard Identifier: 3.OA.6
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Understand properties of multiplication and the relationship between multiplication and division.
Standard:
Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.
Understand properties of multiplication and the relationship between multiplication and division.
Standard:
Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.
Showing 21 - 30 of 107 Standards
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