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Gr. 5 NF.B: Multiplying and Dividing Fractions

Lesson Plan B.4a: Multiplication of Fractions

Essential Questions:

How is multiplying or dividing whole numbers similar to multiplying or dividing fractions?

How are multiplication, division, whole numbers, and fractions related?

What is the relationship between division of whole numbers and multiplication of fraction reciprocals?

How can multiplication of a whole number by a fraction be modeled?

How can a whole number be multiplied by a fraction?

How can multiplying fractions be modeled using area, a number line, or measurement models?

How can dividing fractions be modeled using area, sets, or a number line?

How is multiplication of fractions similar to repeated addition of fraction?

What is the relationship between multiplication by a fraction and division?

How can multiplication and division of fractions be used to represent and understand real-world, and mathematical problems?

Lesson Plans and Seeds

Lesson Plan B.4a: Multiplication of Fractions

Lesson Plan B.6: Problems with Fractions

Lesson Seed B.3: Multiply and Divide Fractions

Lesson Seed B.4b: Find Areas with Fractional Side Lengths

Lesson Seed B.5a-b: Interpret Multiplication as Scaling

Lesson Seed B.6: Application of Multiplication and Division of Fractions

Download Seeds, Plans, and Resources (zip)

Unit Overview

Content Emphasis By Clusters in Grade 5

Progressions from Common Core State Standards in Mathematics

Send Feedback to MSDE’s Mathematics Team

Lesson seeds are ideas that can be used to build a lesson aligned to the CCSS. Lesson seeds are not meant to be all-inclusive, nor are they substitutes for instruction. When developing lessons from these seeds, teachers must consider the needs of all learners. It is also important to build checkpoints into the lessons where appropriate formative assessment will inform a teachers instructional pacing and delivery.

Lesson Plan: 5.NF.B.4 Multiplication of Fractions

Unit/Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Lesson Topic: Multiplication of Fractions

Focus Standard(s)

5.NF.B.4	Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
	a. Interpret the product . as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations .

It is critical that the Standards for Mathematical Practices are incorporated in ALL lesson activities throughout the unit as appropriate. It is not the expectation that all eight Mathematical Practices will be evident in every lesson. The Standards for Mathematical Practices make an excellent framework on which to plan your instruction. Look for the infusion of the Mathematical Practices throughout this unit.

Coherence of Standards
Across-Grade Coherence: Content Knowledge from Earlier Grades

3.NF.A.1	Understand a fraction as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction as the quantity formed by a parts of size
4.NF.A.1	Explain why a fraction a/b is equivalent to a fraction by using visual fraction models, with attention to how the number and size o the parts differ even though the two fractions themselves are the same size. Use this principal to recognize and generate equivalent fractions.
4.NF.A.2	Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as . Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols <, =, or> and justify the conclusions, e.g. by using a visual fraction model

Within-Grade Coherence: Content from Other Standards in the Same Grade that Provide

5.NF.B.4b

Find the area of a rectangle with fractional side lengths by tiling it with unit squares of 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.

Enduring Understandings

Multiplication of a whole number by a fraction yields a product less than the whole number.

Multiplication of a fraction by a fraction yields a product less than either factor.

Student Outcomes

Students will be able to multiply a fraction by a whole number or fraction and interpret the product to show evidence of understanding through multiple representations (i.e. visual model, concrete models, written explanations, equations, etc.)

Learning Experience

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Last Updated 3/9/2020 12:27 PM