Area

Lesson 7

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Objective

Find the area of a rectangle through multiplication of the side lengths.

Common Core Standards

Core Standards

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  • 3.MD.C.6 — Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).

  • 3.MD.C.7.A — Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.

Foundational Standards

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  • 2.G.A.2

  • 2.MD.A.1

Criteria for Success

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  1. Find the area of a rectangle shown pictorially with labeled dimensions by multiplying its length and width, explaining how that is the same as counting individual units (MP.3, MP.7).
  2. Find the side length of a rectangle shown pictorially with labeled dimensions given its area and one side length using the relationship between multiplication and division. 

Tips for Teachers

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As a supplement to the Problem Set, students can play “Raging Rectangles,” from Building Conceptual Understanding and Fluency Through Games (Grade 3) by the North Carolina Department of Public Instruction.

Remote Learning Guidance

If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Task 1 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.

Fishtank Plus

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  • Problem Set
  • Student Handout Editor
  • Google Classrom Integration
  • Vocabulary Package

 

Anchor Tasks

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Problem 1

What is the area of the shape below?

Show or explain how you know.

Guiding Questions

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Problem 2

  1. Find the area of the following rectangle.

  1. Frederick draws another rectangle with the same area. What might the length and width of Frederick's rectangle be?

Guiding Questions

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Problem 3

  1. The area of the rectangle below is 42 square feet. Find the missing side length.

  1. Explain how you can use either multiplication or division to solve Part (a).

Guiding Questions

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Problem Set & Homework

  • Problem Set

    • Problem Set Answer Key
  • Homework

    • Homework Answer Key

Discussion of Problem Set

  • In what way is the area of #2(b) related to the area of #2(a)? How could you use the side lengths to help you figure out that 8 x 7 is double 4 x 7? 
  • Which shape in #2 is a square? How do you know? 
  • How are the rectangles in #2(a) and #5(c) similar? How are they different? 
  • Was anyone able to tell which two tables in #7 had the same area before multiplying them? How was that possible? 
  • Why is there a connection between a rectangle’s side lengths and its area? 

Target Task

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Problem 1

A rectangle has the measurements shown. Select the three ways to calculate the area of the rectangle in square centimeters.

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Problem 2

Find the side length of the rectangle below.

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Additional Practice

Unit Practice

With Fishtank Plus you can access our Daily Word Problem Practice and our content-aligned Fluency Activities created to help students strengthen their application and fluency skills.

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