Lesson 6 | Multiplication and Division of Fractions | 5th Grade Mathematics

Objective

Relate multiplication of a fraction by a whole number to multiplication of a whole number by a fraction and use this to develop a general method to multiply any fraction by any whole number (or vice versa).

Lesson Map

Topic A: Fractions as Division

Lesson

Relate equal shares of objects to division expressions and visual representations of fractions.

Standards

5.NF.B.3

Lesson

Write division expressions that represent fractions and vice versa.

Standards

5.NF.B.3

Lesson

Solve division problems when the quotient is a fraction or mixed number, including cases with larger values.

Standards

5.NF.B.3

Topic B: Multiplying a Fraction by a Whole Number

Lesson

Multiply a unit fraction by a whole number.

Standards

5.NF.B.4.A5.NF.B.6

Lesson

Multiply a non-unit fraction by a whole number.

Standards

5.NF.B.4.A5.NF.B.6

Lesson

Standards

5.NF.B.4.A5.NF.B.5

Lesson

Solve real-world problems involving multiplication of fractions and whole numbers and create real-world contexts for expressions involving multiplication of fractions and whole numbers.

Standards

5.NF.B.45.NF.B.65.OA.A.2

Topic C: Multiplying a Fraction by a Fraction

Lesson

Multiply a fraction by a fraction without subdivisions using tape diagrams and number lines.

Standards

5.NF.B.45.NF.B.55.NF.B.6

Lesson

Multiply a fraction by a fraction with subdivisions using tape diagrams and number lines.

Standards

5.NF.B.45.NF.B.55.NF.B.6

Lesson

Multiply a fraction by a fraction with more complicated subdivisions using an area model.

Standards

5.NF.B.45.NF.B.55.NF.B.6

Lesson

Develop a general method to multiply a fraction by a fraction.

Standards

5.NF.B.45.NF.B.55.NF.B.6

Lesson

Solve real-world problems involving multiplication of fractions with fractions and create real-world contexts for expressions involving multiplication of fractions with fractions.

Standards

5.NF.B.45.NF.B.65.OA.A.2

Topic D: Multiplying with Mixed Numbers

Lesson

Multiply mixed numbers by whole numbers.

Standards

5.NF.B.45.NF.B.55.NF.B.6

Lesson

Multiply mixed numbers by fractions.

Standards

5.NF.B.45.NF.B.55.NF.B.6

Lesson

Multiply mixed numbers by mixed numbers.

Standards

5.NF.B.45.NF.B.55.NF.B.6

Lesson

Develop a general method to multiply with mixed numbers.

Standards

5.NF.B.45.NF.B.55.NF.B.6

Lesson

Solve real-world problems involving multiplication with mixed numbers and create real-world contexts for expressions involving multiplication with mixed numbers.

Standards

5.NF.B.45.NF.B.65.OA.A.2

Lesson

Interpret multiplication as scaling.

Standards

5.NF.B.55.NF.B.5.A5.NF.B.5.B

Topic E: Dividing with Fractions

Lesson

Divide a unit fraction by a whole number.

Standards

5.NF.B.7.A5.NF.B.7.C

Lesson

Divide a whole number by a unit fraction.

Standards

5.NF.B.7.B5.NF.B.7.C

Lesson

Solve real-world problems involving division with fractions and create real-world contexts for expressions involving division with fractions.

Standards

5.NF.B.7.C5.OA.A.2

Topic F: Fraction Real-World Problems and Line Plots

Lesson

Solve real-world problems involving multiplication and division with fractions.

Standards

5.NF.B.35.NF.B.65.NF.B.7

Lesson

Create line plots.

Standards

5.MD.B.2

Lesson

Solve problems involving information presented in a line plot (dot plot).

Standards

5.MD.B.2

Multiplication and Division of Fractions

Objective

Lesson Map

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Multiplication and Division of Fractions

Objective

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Math

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