Explore the distributive rule!

This is an opportunity for you to explore the relationship between areas of rectangles and squares. You can drag the blue dot below to different locations and explore what happens. The numbers written inside the rectangles are the areas of those rectangles, and the numbers beside the rectangles correspond to the length of the line segments they are next to.
1. How do the areas change (or stay the same) as you move the dot? 2. Do you see any relationships between the numbers on the diagram as you move the dot? 3. How is the area of the large rectangle related to the areas of the small rectangles?