Area

Lesson 9

Math

Unit 4

3rd Grade

Lesson 9 of 14

Objective


Solve word problems involving area.

Common Core Standards


Core Standards

  • 3.MD.C.7.B — Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.

Criteria for Success


  1. Make sense of a three-act task and persevere in solving it (MP.1).
  2. Solve word problems that involve finding the area of a rectangle (MP.4).
  3. Solve word problems that involve finding the missing side length of a rectangle (MP.4). 
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Anchor Tasks

25-30 minutes


Problem 1

Act 1:

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

b.   Does Maria have enough pink paint to cover one of her bedroom walls? Make a prediction.

Guiding Questions

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Student Response

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Problem 2

Act 2: Use the following information to determine whether Maria has enough paint to cover one of her bedroom walls -

  • Maria has a quart of paint.
  • These are the dimensions of the wall she wants to paint:

Guiding Questions

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Student Response

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Problem 3

Act 3: Reveal the answer -

Maria does have enough paint to cover one of her bedroom walls with one coat of paint, but not two coats. Was your prediction correct? 

Guiding Questions

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Student Response

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Problem 4

Act 4 (sequel):

a.   Amir is getting hardwood floors in his bedroom, which measures 8 feet by 9 feet. How many square feet of hardwood flooring will Amir need?

b.   The area of Theo’s banner is 28 square meters. If the width of his banner measures 4 meters, how long is his banner?

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 3 Mathematics > Module 4 > Topic D > Lesson 12Concept Development

Grade 3 Mathematics > Module 4 > Topic D > Lesson 12 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

  • What unit should my answer in #3 be? Why is this different from the other problems? 
  • What possible side lengths did you come up with for #4? How many possibilities are there? 
  • How did you find the area in #6 with only one side length? 
  • How did you find the side length in #7? 

Target Task

5-10 minutes


Problem 1

Blake wants to cover a page of his scrapbook with colored paper. The page measures 6 inches by 8 inches. How much colored paper does Blake need to cover the entire scrapbook page? 

Student Response

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Problem 2

A room is 63 square feet. Its length is 9 feet. What is its width? 

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

Compose and decompose a rectangle, seeing and making use of the idea that the sum of the areas of the decomposed rectangle is equal to the area of the composed rectangle.

Lesson 10
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Lesson Map

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

Topic A: Understanding Concepts of Area

Topic B: The Distributive Property and Composite Area

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