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Common Core Math: Fractions

From third to fifth grade, students develop an understanding of fractions as numbers that represent parts of a whole. Students learn to compare, add, subtract, multiply and divide fractions and mixed numbers. Visual models such as number lines and tape diagrams give students a conceptual way to represent fractions. In fourth grade, students begin to generate fractions with common denominators so that by fifth grade, students can add and subtract fractions with unlike denominators. Students also use fractions to solve real-world problems and begin to use decimal notation to represent and perform operations with fractions.

Common Core Standards

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Grade 4

Perform addition and subtraction with fractions and mixed numbers with like denominators, compare fractions and express fractions as decimals.

Add and subtract fractions (CCSS.Math.Content.4.NF.B.3a):

Add and subtract mixed numbers (CCSS.Math.Content.4.NF.B.3c):

Compare magnitudes of fractions (CCSS.Math.Content.4.NF.A.2):

Express a fraction as a decimal (CCSS.Math.Content.4.NF.C.6):

Multiply a fraction by a whole number (CCSS.Math.Content.4.NF.B.4):

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Grade 3

Define fractions, generate equivalent fractions and compare fractions with like denominators.

Visualize a fraction as part of a whole (CCSS.Math.Content.3.NF.A.1):

Recognize equivalent fractions (CCSS.Math.Content.3.NF.A.3b):

Compare the magnitudes of fractions (CCSS.Math.Content.3.NF.A.3d):

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Grade 5

Perform addition, subtraction, multiplication and division with fractions, including with unlike denominators.

Add and subtract fractions (CCSS.Math.Content.5.NF.A.1):

Multiply fractions (CCSS.Math.Content.5.NF.B.4):

Divide a whole number by a fraction (CCSS.Math.Content.5.NF.B.7b):

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