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Area and Fractions

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Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.

Fractions - Parts of a Whole

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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.

Equivalent Fractions

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Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

Comparing Fractions

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Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

Fractions Equivalent to Whole Numbers

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Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

Fractions of a Set

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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.

Equivalent Fractions on a Number Line

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Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

Fractions Using a Number Line

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Understand a fraction as a number on the number line; represent fractions on a number line diagram.

Modeling Division of Fractions

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Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally?

Renaming Fractions and Mixed Numbers

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Understand a fraction a/b with a < 1 as a sum of fractions 1/b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.