Curriculum  /  Math  /  4th Grade  /  Unit 6: Decimal Fractions  /  Lesson 12

Decimal Fractions

Lesson 12

Math

Unit 6

4th Grade

Lesson 12 of 13

Objective

Find the value of some combination of dollar bills and coins.

Common Core Standards

Core Standards

  • 4.MD.A.2 — Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

Foundational Standards

  • 2.MD.C.8

Criteria for Success

  1. Write quarters, dimes, nickels, and pennies as fractional and decimal units of a dollar.
  2. Find the total value of a combination of dollar bills, quarters, dimes, nickels and pennies and express the value as a fraction and decimal. 
  3. Find various combinations of coins that add up to a given amount.

Tips for Teachers

  • “Students…combine competencies from different domains as they solve measurement problems using all four arithmetic operations, addition, subtraction, multiplication, and division” (MD Progression, p. 20). Thus, students will work with money recorded as decimal quantities in this lesson, connecting the supporting work of measurement problems (4.MD.2) across domains to the major work with decimals (4.NF.C). 
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Anchor Tasks

25-30 minutes

Problem 1

Recall that a dime is $$\frac{1}{10}$$ of a dollar and a penny is $$\frac{1}{100}$$ of a dollar.

a.   What is the value of 6 dimes and 3 pennies?

b.   What is the value of 4 dimes and 27 pennies?

c.   What is the value of 13 dimes and 50 pennies?

Guiding Questions

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Student Response

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References

Illustrative Mathematics Dimes and Pennies

Dimes and Pennies, accessed on May 29, 2018, 2:18 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Modified by Fishtank Learning, Inc.

Problem 2

A quarter is $${25\over100}$$ of a dollar and a nickel is $${{5\over100}}$$ of a dollar.

a.   What is the value of 2 quarters and 3 nickels? Write your answer in both fraction and decimal form.

b.   What is the value of 3 quarters, 4 dimes, 1 nickel, and 3 pennies? Write your answer in both fraction and decimal form.

Guiding Questions

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Student Response

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Problem 3

You have $1.50 in change in your pocket. You have 20 coins. What coins do you have?

Guiding Questions

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Student Response

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References

Open Middle Pocket Change 3

Pocket Change 3 by is made available on Open Middle under the CC BY-NC-SA 4.0 license. Accessed May 29, 2018, 2:23 p.m..

Modified by Fishtank Learning, Inc.

Problem Set

15-20 minutes

Discussion of Problem Set

  • How is money related to decimals and fractions? How is it different? 
  • I have $${{2\over5}}$$ dollar in my pocket. Use what you know about equivalent fractions to determine how many cents I have. What are some possible combinations of coins that may be in my pocket? 
  • Are $1 and $1.00 equal? Are $0.1 and $0.10 equal? Are all these forms correct? Which form may not be used frequently and why?
  • When adding fractions and whole numbers, we sometimes complete the next whole or the next hundred to convert it to an easier problem. How, in #4b, could you decompose 8 dimes to convert this to an easier problem?
  • Did anyone attempt #5? Would you believe it is more than $1.00?

Target Task

5-10 minutes

Find the total value of the coins and/or bills. Write your answer in fraction and decimal form.

a.   2 quarters and 4 nickels

b.   3 quarters, 2 dimes, and 7 pennies

c.   5 dollars, 3 quarters, 6 nickels, and 14 pennies

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 word problems involving money.

Lesson 13
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Lesson Map

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

Topic A: Understanding Tenths

Topic B: Understanding Tenths and Hundredths

Topic C: Decimal Comparison

Topic D: Decimal Addition

Topic E: Money as a Decimal Amount

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