Unit 7, Lesson 16-- Decomposing Shapes to Find Area

Lesson 16--  Decomposing Shapes to Find Area

Introduction

Hello Mathematicians! Today we will be learning about decomposing shapes to find the area.

Video

Interactive

Directions:

  • Use the interactive below to complete the garden challenges (in Explore mode). Each plant = 1 unit square.
  • Draw each garden in your journal, and label the area.  Remember:  when you have a shape made of 2 rectangles, find the area of each of the smaller rectangles, and then add the areas together for the total area.
    • Katherine planted a pepper garden.  She planted 6 rows of pepper plants total, with 4 jalapeno plants in the first, second, third, and fourth rows, and 6 banana pepper plants in the fifth and sixth rows.
    • Lenny planted a flower garden.  He planted 5 rows of flowers in total.  He planted 4 geraniums in the first, second, and third row, and he planted 8 marigolds in the fourth and fifth row.   
    • Design your dream garden.  What kinds of plants will you grow?  Label each section, with the area and perimeter of each.  Go to the Next page to share your garden design.

 

In Your Math Notebook

Let’s get out our math journals and  work through the following application problem. Make sure you read the problem carefully, draw a picture to match your thinking and write and solve an equation.

Read, Draw, Write, DONE!

R (Read the problem carefully.)

Part 1: Sarah wants to create a rectangular garden in her backyard.  The length of the garden is 8 feet, and the width is 4 feet.  What is the total area of Sarah’s garden?

Part 2: Sarah decides she wants to double the length and width of her garden.  What will be the new total area of the garden?

D (Draw a picture.)

W (Write and solve an equation.)

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