Pythagorean Theorem

This lesson unit is intended to help you assess how well students are able to:

• Use the Pythagorean theorem to derive the equation of a circle.
• Translate between the geometric features of circles and their equations.

This lesson unit is intended to help you assess how well students are able to produce and evaluate geometrical proofs. In particular, it is intended to help you identify and assist students who have difficulties in:

• Interpreting diagrams.
• Identifying mathematical knowledge
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This lesson unit is intended to help students to:

• Select appropriate mathematics to solve a problem.
• Compare and evaluate different methods for solving a problem and make generalizations about the appropriateness of different approaches.
• Understand the Pythagorean
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This lesson unit is intended to help you assess how well students are able to:

• Use the area of right triangles to deduce the areas of other shapes.
• Use dissection methods for finding areas.
• Organize an investigation systematically and collect data.
• Deduce a
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In this task, students respond to a geometry problem in which a girl is attempting to find the optimal location to tether her dog so that the dog doesn't dig in the garden, but without reducing the play area for the animal.

Students are given a number of measurements and constraints and...