 Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum            Session 1, Part C:
Folding Paper

In This Part: Constructions | Constructing Triangles | Concurrencies in Triangles
More Constructions  Problem C6 a. Construct a square with exactly one-fourth the area of your original square. How do you know that the new square has one-fourth the area of the original square? b. Construct a square with exactly one half the area of your original square. How do you know that the new square has one half the area of the original square? c. Construct a square with exactly three-fourths the area of your original square.  Think about how you might construct the exact side lengths needed for these squares. For example, the first square will need a side length exactly one half the original. The third square is very difficult!   Close Tip Think about how you might construct the exact side lengths needed for these squares. For example, the first square will need a side length exactly one half the original. The third square is very difficult! Problem C7 Recall that the centroid is the center of mass of a geometric figure. How could you construct the centroid of a square?      Problem C8 When you noticed concurrencies in the folds, were you sure that the segments were concurrent? What would convince you that, for example, the medians of every triangle really are concurrent?  Next > Part D: Basic Objects  Session 1: Index | Notes | Solutions | Video