1.2 Finding Area by Decomposing & Rearranging - Activities 2 & 3
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.
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 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.
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 DIFFERENT 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.
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____________________.