Curriculum  /  Math  /  5th Grade  /  Unit 6: Multiplication and Division of Decimals  /  Lesson 20

Multiplication and Division of Decimals

Lesson 20

Math

Unit 6

5th Grade

Lesson 20 of 23

Objective

Express measurements in a fractional or decimal number of larger units in terms of a smaller 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 larger decimal units to smaller ones (e.g., 6.7 kg is how many grams?).
  2. Convert from larger fractional units to smaller ones (e.g., $$2\frac{2}{3}$$ yd is how many inches?).

Tips for Teachers

Lesson Materials

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Anchor Tasks

25-30 minutes

Problem 1

Fill in the blanks to make the following statements true.

a.   0.3 L = ___________ mL

b.   3.5 kg = ___________ g

c.   4.06 km = ___________ mm

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.   $$\frac{5}{8} $$ ton = ___________ lb

b.   $$2\frac{3}{4}$$ ft = ___________ in

c.   $$3\frac{1}{4}$$ gal = ___________ pt

d.   $$1 \frac{1}{2}$$ days = ___________ min

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 5 Mathematics > Module 4 > Topic C > Lesson 9 — Concept Development

Grade 5 Mathematics > Module 4 > Topic C > Lesson 9 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

Problem Set

15-20 minutes

Discussion of Problem Set

  • How did #3(a) help you with #3(b)?
  • How was #3(f) different from the previous conversions in #3?
  • What strategy did you use to list the four students in order from tallest to shortest in #4? Where there any comparisons you could do without having to convert everything to the same unit? How?

Target Task

5-10 minutes

Problem 1

Convert hours to seconds.

$$3\frac{1}{4}$$ hours = _________ seconds

Student Response

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Problem 2

Convert liters to milliliters.

3.5 liters = _________ milliliters

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

Express measurements in a whole number of smaller units in terms of a larger unit.

Lesson 21
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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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