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.
This lesson unit is intended to help you assess how well students are able to produce and evaluate geometrical proofs. In particular, this unit is intended to help you identify and assist students who have difficulties in:
Identifying mathematical knowledge relevant to an argument.
Linking visual and algebraic representations.
Producing and evaluating mathematical arguments.
This lesson unit is intended to help you assess how well students can:
Understand the concepts of length and area.
Use the concept of area in proving why two areas are or are not equal.
Construct their own examples and counterexamples to help justify or refute conjectures.