Decimal Fractions

Lesson 11

Math

Unit 6

4th Grade

Lesson 11 of 13

Objective


Solve word problems involving the addition of decimals and decimal fractions.

Common Core Standards


Core Standards

  • 4.NF.C.5 — Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

Foundational Standards

  • 4.NF.A.1
  • 4.NF.B.3

Criteria for Success


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

Tips for Teachers


  • Note that this lesson includes a mix of decimal and decimal fraction addition problems. If you chose to skip Lesson 10, you should change any word problems involving decimals to decimal fractions in the Anchor Tasks, Problem Set, and Homework. 
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Anchor Tasks


Problem 1

Act 1: Look at the following image -

a.   What do you notice? What do you wonder?

b.   What is the new world record? Make an estimate. 

Guiding Questions

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Problem 2

Act 2: Use the following information to determine what the new world record is.

Mens 4×100m Relay Splits

Carter 10.16
Frater 9
Blake 8.98
Bolt 8.7

Guiding Questions

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Problem 3

Act 3: Using the solution shown in the original news article, answer - Was your answer reasonable? Why or why not?

Guiding Questions

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Problem 4

Act 4 (the sequel): This new world record was 0.19 faster than the previous world record, also set by the same Jamaican relay team but in 2011. What was the previous world record? Write your answer as a decimal.

Guiding Questions

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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

  • What were the two correct answers in #1B? How do you know they are both correct? 
  • How did you determine how many students chose to play either soccer OR basketball in #3?
  • How did you determine the perimeter of the rectangle in #5? Did anyone use fraction multiplication? 
  • How did you solve #6? What made this more complex than the previous problems? 
  • Did anyone attempt #7? What made this more complex than the previous problems?

Target Task


Solve. Show or explain your work. 

Jay has $${{29\over100}}$$ L of oil. He buys another $${1{5\over10}}$$ L. He still needs $${{71\over100}}$$ L to deep fry clams. How much oil does Jay need to make fried clams?

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 10

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Lesson 12

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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