1.2 Classwork
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.
Write a definition of area that includes all the information that you think is important:
Stop here for now!
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.
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.
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?