Curriculum  /  Math  /  5th Grade  /  Unit 6: Multiplication and Division of Decimals  /  Lesson 22

Multiplication and Division of Decimals

Lesson 22

Math

Unit 6

5th Grade

Lesson 22 of 23

Objective

Express measurements in a fractional or decimal number of smaller units in terms of a larger unit.

Common Core Standards

Core Standards

  • 5.MD.A.1 — Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Foundational Standards

  • 4.MD.A.1

Criteria for Success

  1. Convert from smaller units to larger ones, including decimal units (e.g., 60.7 cm is how many meters?). 
  2. Convert from smaller units to larger ones, including fractional units (e.g., $$5\frac{1}{4} $$ ft is how many yards?).

Tips for Teachers

5.MD.1 could be interpreted to be inclusive of problems like today’s, but they are relatively rare to see in real-world situations involving unit conversions. Thus, this lesson is optional.

Lesson Materials

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Anchor Tasks

25-30 minutes

Problem 1

Fill in the blanks to make the following statements true.

a.   945.6 mL = ________ L

b.   530.8 cm = _________ m

c.   60.34 mm = _________ cm

Guiding Questions

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Student Response

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Problem 2

Fill in the blanks to make the following statements true.

a.   $$\frac{1}{4}$$ ft = ________ yd

b.   $$ 7\frac{1}{2}$$ oz = ________ lb

c.   $$2\frac{3}{4}$$ pt = ________ gal

d.   $$4 \frac{1}{2}$$ hrs = ________ days

Guiding Questions

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Student Response

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Problem Set

15-20 minutes

Discussion of Problem Set

  • In #1, were you able to solve without having to multiply by the conversion factor? How?
  • What conversion problem did you come up with for #2? Is there more than one possible answer?
  • What conversion problem did you come up with for #4? Is there more than one possible answer?

Target Task

5-10 minutes

Problem 1

Convert cups to quarts.

7.5 cups = ___________ quarts

Student Response

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Problem 2

Convert feet to yards.

$$11\frac{1}{4}$$ feet = ___________ yards

Student Response

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Additional Practice

The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Next

Solve real-world problems involving measurement conversions.

Lesson 23
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Multiplying Decimals

Topic B: Dividing Decimals

Topic C: Decimal Real-World Problems

Topic D: Measurement Conversion

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