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Lesson Plans and Worksheets for Grade 4

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More Lessons for Grade 4

Common Core For Grade 4

Examples, solutions, and videos to help Grade 4 students learn how to use the area model and multiplication to show the equivalence of two fractions.

Common Core Standards: 4.NF.1, 4.NF.3b

### New York State common Core Grade 4 Module 5, Lesson 7

Problem 1: Determine that multiplying the numerator and denominator by n results in an equivalent fraction.

Problem 2: Given an area model, determine an equivalent fraction for the area selected.

Problem 3: Express an equivalent fraction using multiplication and verify by drawing an area model.

Lesson 7 Problem Set

Each rectangle represents 1 whole.

1. The shaded unit fractions have been decomposed into smaller units. Express the equivalent fractions in a number sentence using multiplication. The first one has been done for you.

2. Decompose the shaded fractions into smaller units using the area models. Express the equivalent fractions in a number sentence using multiplication.

e. What happened to the size of the fractional units when you decomposed the fraction?

f. What happened to the total number of units in the whole when you decomposed the fraction?

3. Draw three different area models to represent 1 third by shading. Decompose the shaded fraction into (a) sixths, (b) ninths, and (c) twelfths. Use multiplication to show how each fraction is equivalent to 1 third. Lesson 7 Homework

Each rectangle represents 1 whole.

1. The shaded unit fractions have been decomposed into smaller units. Express the equivalent fractions in a number sentence using multiplication. The first one has been done for you.

2. Decompose the shaded fractions into smaller units using the area models. Express the equivalent fractions in a number sentence using multiplication.

3. Draw three different area models to represent 1 fourth by shading.

Decompose the shaded fraction into (a) eighths, (b) twelfths, and (c) sixteenths.

Use multiplication to show how each fraction is equivalent to 1 fourth.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Lesson Plans and Worksheets for Grade 4

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 4

Common Core For Grade 4

Examples, solutions, and videos to help Grade 4 students learn how to use the area model and multiplication to show the equivalence of two fractions.

Common Core Standards: 4.NF.1, 4.NF.3b

Download Grade 4, Module 5, Lesson 7 Worksheets

Lesson 7 Concept DevelopmentProblem 1: Determine that multiplying the numerator and denominator by n results in an equivalent fraction.

Problem 2: Given an area model, determine an equivalent fraction for the area selected.

Problem 3: Express an equivalent fraction using multiplication and verify by drawing an area model.

Each rectangle represents 1 whole.

1. The shaded unit fractions have been decomposed into smaller units. Express the equivalent fractions in a number sentence using multiplication. The first one has been done for you.

2. Decompose the shaded fractions into smaller units using the area models. Express the equivalent fractions in a number sentence using multiplication.

e. What happened to the size of the fractional units when you decomposed the fraction?

f. What happened to the total number of units in the whole when you decomposed the fraction?

3. Draw three different area models to represent 1 third by shading. Decompose the shaded fraction into (a) sixths, (b) ninths, and (c) twelfths. Use multiplication to show how each fraction is equivalent to 1 third. Lesson 7 Homework

Each rectangle represents 1 whole.

1. The shaded unit fractions have been decomposed into smaller units. Express the equivalent fractions in a number sentence using multiplication. The first one has been done for you.

2. Decompose the shaded fractions into smaller units using the area models. Express the equivalent fractions in a number sentence using multiplication.

3. Draw three different area models to represent 1 fourth by shading.

Decompose the shaded fraction into (a) eighths, (b) twelfths, and (c) sixteenths.

Use multiplication to show how each fraction is equivalent to 1 fourth.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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