This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, the lesson will help you identify and help students who have the following difficulties:
Solving problems by determining the lengths of the sides in right triangles.
Finding the measurements of shapes by decomposing complex shapes into simpler ones.
The lesson unit will also help students to recognize that there may be different approaches to geometrical problems, and to understand the relative strengths and weaknesses of those approaches.
This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, it will help you identify and help students who have difficulty:
Decomposing complex shapes into simpler ones in order to solve a problem.
Bringing together several geometric concepts to solve a problem.
Finding the relationship between radii of inscribed and circumscribed circles of right triangles.
Students construct a parallelogram, measure the side lengths and angles, and observe that opposite sides are congruent, opposite angles are congruent, and consecutive angles are supplementary. Then they construct the diagonals, measure the distances from the vertices to the point of intersection, and discover that the diagonals bisect each other.