In pre-algebra, seventh-grade students recently learned about similar figures and scale factors. After noticing that when they dilated shapes on a coordinate plane, the angles and shapes were always the same (as long as they multiplied the x and y by the same number), the students began to compare shapes in several different ways. They cut out paper shapes, used tracing paper to compare, and investigated the relationship between corresponding sides.
The seventh-graders found that the ratio of the corresponding sides of two similar shapes could be used as a multiplier to find other unknown parts of the similar shapes. These scale factors were very useful and will continue to be used as they move on to studying area ratios.
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