More: In-Depth Discussion of the Reasoning Activities in "Teaching Fractions and Ratios for Understanding"

By Susan J. Lamon | Go to book overview

Chapter 15
Applications: Similarity and Percents
1. The following rectangles are similar. Find the missing measurement on the smaller rectangle by scaling down.
2. If two rectangles were congruent (that is, they have the same size and shape), what would be the relationship between their widths?
3. On the following grid, each square is 1 unit by 1 unit. On a piece of graph paper, draw a rectangle of the same shape that will fit on the grid, but whose dimensions are not whole numbers. How did you decide how long and how wide your rectangle should be?
4. You will need to make copies of these rectangles and cut them out. Use them to answer the following questions.

A rectangle is in R's family if it has the same shape as R.

a. Which rectangle(s) belong in R's family?
b. What is the ratio of sides in the R family?

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