Mathematics Standards
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Geometry
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Measurement and Data
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Number and Operations—Fractions
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Reasoning with Equations and Inequalities
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The Complex Number System
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The Number System
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Trigonometric Functions
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Using Probability to Make Decisions
Results
Showing 41 - 50 of 206 Standards
Standard Identifier: 3.MD.7.c
Grade:
3
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
Standard:
Relate area to the operations of multiplication and addition. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
Standard:
Relate area to the operations of multiplication and addition. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
Standard Identifier: 3.MD.7.d
Grade:
3
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
Standard:
Relate area to the operations of multiplication and addition. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real-world problems.
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
Standard:
Relate area to the operations of multiplication and addition. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real-world problems.
Standard Identifier: 3.MD.8
Grade:
3
Domain:
Measurement and Data
Cluster:
Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
Standard:
Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
Standard:
Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
Standard Identifier: 3.NF.1
Grade:
3
Domain:
Number and Operations—Fractions
Cluster:
Develop understanding of fractions as numbers.
Standard:
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
Footnote:
Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.
Develop understanding of fractions as numbers.
Standard:
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
Footnote:
Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.
Standard Identifier: 3.NF.2.a
Grade:
3
Domain:
Number and Operations—Fractions
Cluster:
Develop understanding of fractions as numbers.
Standard:
Understand a fraction as a number on the number line; represent fractions on a number line diagram. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.
Develop understanding of fractions as numbers.
Standard:
Understand a fraction as a number on the number line; represent fractions on a number line diagram. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.
Standard Identifier: 3.NF.2.b
Grade:
3
Domain:
Number and Operations—Fractions
Cluster:
Develop understanding of fractions as numbers.
Standard:
Understand a fraction as a number on the number line; represent fractions on a number line diagram. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.
Develop understanding of fractions as numbers.
Standard:
Understand a fraction as a number on the number line; represent fractions on a number line diagram. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.
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.
Showing 41 - 50 of 206 Standards
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