Multiplication and Division of Decimals

Lesson 21

Math

Unit 6

5th Grade

Lesson 21 of 24

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


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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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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References

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


Answer Keys

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

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


Problem 1

Convert hours to seconds.

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

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.

Extra Practice Problems

Answer Keys

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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.

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Lesson 20

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Lesson 22

Lesson Map

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

Topic A: Multiplying Decimals

Topic B: Dividing Decimals

Topic C: Decimal Expressions and Real-World Problems

Topic D: Measurement Conversion and Real-World Problems

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