July 15, 2010

This is a packet where students will discover, using the areas of a square and triangle, the formula for Pythagorean Theorem.

- Mathematics > General
- Mathematics > Geometry

- Grade 6
- Grade 7
- Grade 8
- Special Education

Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.

Use appropriate tools strategically.

Attend to precision.

Look for and make use of structure.

Explain a proof of the Pythagorean Theorem and its converse.

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Apply properties of right triangles, including the Pythagorean theorem.

Recognize and interpret the Pythagorean theorem as a statement about areas of squares on the sides of a right triangle.

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.