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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

### New York State common Core Grade 4 Module 5, Lesson 8

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

Problem 2: Determine that two fractions are equivalent using an area model and a number sentence.

Problem 3: Write a number sentence using multiplication to show the equivalence of two fractions. Draw the corresponding area model. Lesson 8 Problem Set 1

Each rectangle represents 1 whole.

1. The shaded fractions have been decomposed into smaller units. Express the equivalent fractions in a number sentence using multiplication.

2. Decompose the shaded fractions into smaller units, as given below. Express the equivalent fractions in a number sentence using multiplication.

a. Decompose into tenths.

b. Decompose into fifteenths.

3. Draw area models to prove that the following number sentences are true.

a. 2/5 = 4/10

b. 2/3 = 8/12

c. 3/6 = 6/12

d. 4/6 = 8/12

4. Use multiplication to rename each fraction below.

a. 3/4

b. 4/5

c. 7/6

d. 12/7

5. Determine which of the following are true number sentences. Correct those that are false by changing the right-hand side of the number sentence.

a. 4/3 = 8/9

b. 5/4 = 10/8

c. 4/5 = 12/10

d. 4/6 = 12/8

Lesson 8 Homework

Each rectangle represents 1 whole.

1. The shaded fractions have been decomposed into smaller units. Express the equivalent fractions in a number sentence using multiplication.

2. Decompose the shaded fractions into smaller units, as given below. Express the equivalent fractions in a number sentence using multiplication.

a. Decompose into tenths.

b. Decompose into fifteenths.

3. Draw area models to prove that the following number sentences are true.

a. 1/3 = 2/6

b. 2/5 = 4/10

c. 5/7 = 10/24

d. 3/6 = 9/18

4. Use multiplication to rename each fraction below.

a. 2/3

b. 5/6

c. 6/5

d. 10/8

5. Determine which of the following are true number sentences. Correct those that are false by changing the right-hand side of the number sentence.

a. 2/3 = 4/9

b. 5/6 = 10/12

c. 3/5 = 6/15

d. 7/4 = 21/12

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 8 Worksheets

Lesson 8 Concept DevelopmentProblem 1: Determine that multiplying both the numerator and denominator by n results in an equivalent fraction.

Problem 2: Determine that two fractions are equivalent using an area model and a number sentence.

Problem 3: Write a number sentence using multiplication to show the equivalence of two fractions. Draw the corresponding area model. Lesson 8 Problem Set 1

Each rectangle represents 1 whole.

1. The shaded fractions have been decomposed into smaller units. Express the equivalent fractions in a number sentence using multiplication.

2. Decompose the shaded fractions into smaller units, as given below. Express the equivalent fractions in a number sentence using multiplication.

a. Decompose into tenths.

b. Decompose into fifteenths.

3. Draw area models to prove that the following number sentences are true.

a. 2/5 = 4/10

b. 2/3 = 8/12

c. 3/6 = 6/12

d. 4/6 = 8/12

4. Use multiplication to rename each fraction below.

a. 3/4

b. 4/5

c. 7/6

d. 12/7

5. Determine which of the following are true number sentences. Correct those that are false by changing the right-hand side of the number sentence.

a. 4/3 = 8/9

b. 5/4 = 10/8

c. 4/5 = 12/10

d. 4/6 = 12/8

Each rectangle represents 1 whole.

1. The shaded fractions have been decomposed into smaller units. Express the equivalent fractions in a number sentence using multiplication.

2. Decompose the shaded fractions into smaller units, as given below. Express the equivalent fractions in a number sentence using multiplication.

a. Decompose into tenths.

b. Decompose into fifteenths.

3. Draw area models to prove that the following number sentences are true.

a. 1/3 = 2/6

b. 2/5 = 4/10

c. 5/7 = 10/24

d. 3/6 = 9/18

4. Use multiplication to rename each fraction below.

a. 2/3

b. 5/6

c. 6/5

d. 10/8

5. Determine which of the following are true number sentences. Correct those that are false by changing the right-hand side of the number sentence.

a. 2/3 = 4/9

b. 5/6 = 10/12

c. 3/5 = 6/15

d. 7/4 = 21/12

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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