Day 5

Experiencing “Problem to Problem” Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006 by Akihiko Takahashi

1. Anticipating students’ solution methods . Find as many ways as possible. 2. Drive the formula for finding the area of trapezoid from each anticipated solution methods.

3. Discuss how would you like to lead students’ discussion in order to help students drive the formula for finding the area of trapezoid.

Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006 by Akihiko Takahashi

Help students develop problem-solving strategies 1) Minimize the number of cut 2) List available previous leanings that might be able to help derive the formula Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006 by Akihiko Takahashi

Quadrateral Rectangle and Square Parallelogram Trapezoid Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006 by Akihiko Takahashi

Find the area of the colored region of the rectangle.

p a b 1) By changing this problem, each of you are going to create own problem.

2) After all the members in your table create each unique problem, solve all these problems and discuss similarities and differences among the problems Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006 by Akihiko Takahashi