# Decimal Fractions

## Objective

Solve word problems involving money.

## Common Core Standards

### Core Standards

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• 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.

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• 2.MD.C.8

## Criteria for Success

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1. Make sense of a three-act task and persevere in solving it (MP.1).
2. Solve word problems involving money (MP.4).

## Tips for Teachers

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• “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 solve word problems involving money recorded as decimal quantities in Lesson 14, connecting the supporting work of measurement problems (4.MD.2) across domains to the major work with decimals (4.NF.C) as well as the major work of solving word problems using the four operations (4.OA.3).
• Let students work on each problem in the Problem Set independently, and circulate to see whether students are solving correctly. If not, come back together to discuss how/what to draw on a tape diagram, then allow them to try again on their own. Encourage students to use a strategy of their choice to assess the reasonableness of their solution.

#### Fishtank Plus

• Problem Set
• Student Handout Editor
• Vocabulary Package

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### Problem 1

Act 1: Show students the following image -

Then watch the video Piggy Bank.

Is there enough money to purchase the paint set?

### Problem 2

Act 2: Use the following information to solve –

• There are 70 nickels in the piggy bank.
• There are 64 quarters in the piggy bank.
• There are 105 dimes in the piggy bank.
• There are 230 pennies in the piggy bank.

### Problem 3

Act 3: Reveal the answer -

### Problem 4

Act 4 (the sequel): If she buys the paint set, how much money will she have left over?

## Discussion of Problem Set

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• Why would Jenna give the clerk a $20 bill and a quarter in #4 rather than just a$20 bill?
• How could you use rounding to find the reasonableness of your answer to #5? About how much do a pen and a calculator cost altogether? Are your answers reasonable?

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David needs \$4 to buy some candy he wants after school. He searched the couch cushions and found 6 quarters, 4 dimes, and 26 pennies. How much more money does he need to make?

#### References

EngageNY Mathematics Grade 4 Mathematics > Module 6 > Topic E > Lesson 16Exit Ticket

Grade 4 Mathematics > Module 6 > Topic E > Lesson 16 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 The Match Foundation, Inc.

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