After you have explored the garden plots, take a moment to reflect on the following questions:
- What happens to the area of a rectangle when you double its base? What happens when you double its height? What happens when you double both? What happens to the area of a triangle when you double its base, its height, or both? Why do you think this happens? Use a representation to help explain your reasoning.
- What do you think would happen to its area if you tripled the length or the width of a shape? What if you tripled the length and the width? Why do you think this would happen?
- How does the grid give a visual representation of the garden? What is the value of using a visual representation in terms of problem solving?
- What other forms of representation are used in this problem?
- How did the representations in this activity help you solve the problem?
Summing up the Scaling Area problem