IM 6.1.2 Lesson: Finding Area by Decomposing and Rearranging

[size=150]You may recall the term [b][i]area[/i][/b] tells us something about the number of squares inside a two-dimensional shape.[/size][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. 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[/img][br][br]Which answer choice(s) did you select for the previous question? Here, explain [i]why[/i] you chose each answer choice you did.
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 square is 1 square unit.
Write a definition of area that includes all the information that you think is important: 
Use these 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 this app.
[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]
Use your shapes to create a new shape with an area of 2 square units. Place this shape near the bottom of this app.
Use your shapes to create a new shape with an area of 4 square units. Place this shape near the bottom of this app.
Use your shapes to create a DIFFERENT SHAPE with an area of 2 square units. Place this shape near the bottom of this app.
Find a way to use all of your pieces to compose a single large square.
Recall that the area of the square is 1 square unit. Use this app to help illustrate your answers to your questions below.
What is the area of the large square you created in the app above?
Recall that the area of the square is 1 square unit. Use this app to help illustrate your answers to your questions below.
[color=#0c0300]The area of the [/color]small triangle[color=#0c0300] is ____________ square units. I know this because____________________. [/color]
[color=#0c0300]The area of the [/color]medium triangle[color=#0c0300] is ____________ square units. I know this because____________________. [/color]
[color=#0c0300]The area of the [/color]large triangle[color=#0c0300] is ____________ square units. I know this because____________________. [/color]

IM 6.1.2 Practice: Finding Area by Decomposing and Rearranging

This rectangle has been decomposed along its diagonal. Recompose the two pieces to make a different shape.
How does the area of this new shape compare to the area of the original rectangle? Explain how you know.
Priya decomposed a square into 16 smaller, equal-size squares and then cut out 4 of the small squares and attached them around the outside of original square to make a new figure.[br][img]data:image/png;base64,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[/img][br][br]How does the area of her new figure compare with that of the original square?
The area of the square is 1 square unit. Two small triangles can be put together to make a square or to make a medium triangle.[br][br][img]data:image/png;base64,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[/img][br][br][br]Refer to figures A - D to answer the question below. [br][br][img]data:image/png;base64,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[/img][br][br]Which figure also has an area of [math]1\frac{1}{2}[/math] square units? Select all that apply.[br]Use the app below to show your reasoning as to why your selected answer is correct.
The area of a rectangular playground is 78 square meters. If the length of the playground is 13 meters, what is its width?
A student said, “We can’t find the area of the shaded region because the shape has many different measurements, instead of just a length and a width that we could multiply.”
Explain why the student’s statement about area is incorrect.

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