Composing and decomposing shapes, fractions, and area

Practice problems

1. Cut out 2  identical scalene right triangles.  How many different shapes is it possible to make by putting the triangles together in a way that sides match up perfectly with sides?

2. Suppose you had a set of 8 of identical scalene right triangles for each student or pair of students.  What would be an assignment that would get students to focus on side lengths and angles?

3. Tricky fraction picture--if the whole rectangle shows 1, what fraction size is the part with the "?"?

 

4. Explain how to use fractions to find the area of this triangle:

Answers