IM 6.1.2 Lesson: Finding Area by Decomposing and Rearranging
You may recall the term area tells us something about the number of squares inside a two-dimensional shape.
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.
Which answer choice(s) did you select for the previous question? Here, explain why 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.
Notice that you can put together two small triangles to make a square. What is the area of the square composed of two small triangles? Explain your reasoning.
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.
The area of the small triangle is ____________ square units. I know this because____________________.
The area of the medium triangle is ____________ square units. I know this because____________________.
The area of the large triangle is ____________ square units. I know this because____________________.