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Lesson Plans and Worksheets for Grade 5

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 5

Common Core For Grade 5

Area of Rectangles with Fractional Lengths

Videos, examples, and solutions to help Grade 5 students learn to apply and
extend previous understandings of multiplication to multiply a
fraction or whole number by a fraction.

A. Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)

B. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

Common Core: 5.NF.4

### Suggested Learning Targets

### Multiply a Fraction by a Whole Number

Multiply by fractions using repeated addition - 5.NF.4

In this lesson you will learn how to multiply fractions with whole numbers by using a sequence of operations to describe the problem.**5.NF.4 Multiplying a Fraction by a whole number using a tape diagram**

### Multiply a Fraction by a Fraction

How to multiply a fraction by a fraction using an area model and an algorithm?
**Multiply fractions by fractions - 5.NF.4**

**5.nf.4a**

The Common Core State Standards (CCSS) videos are designed to support states, schools, and teachers in the implementation of the CCSS. Each video is an audiovisual resource that focuses on one or more specific standards and usually includes examples/illustrations geared to enhancing understanding. The intent of each content-focused video is to clarify the meaning of the individual standard rather than to be a guide on how to teach each standard although the examples can be adapted for instructional use.

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 5

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 5

Common Core For Grade 5

Area of Rectangles with Fractional Lengths

A. Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)

B. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

Common Core: 5.NF.4

- I can create story contexts for problems involving multiplication of fractions and whole numbers or multiplication of two fractions.
- I can find the area of a rectangle with fractional side lengths

In this lesson you will learn how to multiply fractions with whole numbers by using a sequence of operations to describe the problem.

The Common Core State Standards (CCSS) videos are designed to support states, schools, and teachers in the implementation of the CCSS. Each video is an audiovisual resource that focuses on one or more specific standards and usually includes examples/illustrations geared to enhancing understanding. The intent of each content-focused video is to clarify the meaning of the individual standard rather than to be a guide on how to teach each standard although the examples can be adapted for instructional use.

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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