Unit 1 Lesson 2 (9/18)
[url=https://im.kendallhunt.com/MS/teachers/1/1/2/preparation.html]“Finding Area by Decomposing and Rearranging”[/url] from IM Grade 6 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Table of Contents
- Lesson
- 1.2 Classwork
1.2 Classwork
You may recall the term [b][i]area[/i][/b] tells us something about the number of squares inside a two-dimensional shape.[br][br]Below are four drawings that each show squares inside a shape. Select all drawings whose squares you think could be used to find the area of the shape. [br][br][img width=431,height=313]https://lh4.googleusercontent.com/1UhaVnHuYtbj1FOqlyaePp4LOzPaKOS14Js4bmqwYzn_1s1ccCRBue-FVAF8uiLuQX0YSKBp1n2It1kxBjKojMq2XpWM8wU5_RxlmSz6T89V18XFGuVWZbJy-W42G0RAeSTY5DWs[/img][br][br]Explain [i]why.[/i]
Write a definition of area that includes all the information that you think is important:
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1) This app has one square and some small, medium, and large right triangles. Click on a shape and drag to move it. Grab the point at the vertex and drag to turn it. The area of the yellow square is 1 square unit.
[color=#0c0300]Notice that you can put together [/color][b][color=#1e84cc]two small triangles[/color][/b][color=#0c0300] to make a [/color][b][color=#bf9000]square[/color][/b][color=#0c0300]. What is the area of the [/color][b][color=#bf9000]square[/color][/b][color=#0c0300] composed of [/color][b][color=#1e84cc]two small triangles[/color][/b][color=#0c0300]? Explain your reasoning.[/color]
2) Use your shapes to create a new shape with an area of 1 square unit that is not a square. Place this shape near the bottom of your screen.
3) Use your shapes to create a new shape with an area of 2 square units. Place this shape near the bottom of this screen.
4) Use your shapes to create a new shape with an area of 4 square units. Place this shape near the bottom of this app.
5) Find a way to use all of your pieces to compose a single large square.
What is the area of the large square you created in the app above?