Unit 3 Geometric Applications of Exponents

In this unit students will:

• solve problems involving the volume of a cylinder, cone, and sphere;

• determine the relationship between the hypotenuse and legs of a right triangle;

• use deductive reasoning to prove the Pythagorean Theorem and its converse;

• apply the Pythagorean Theorem to determine unknown side lengths in right triangles;

• determine if a triangle is a right triangle, Pythagorean triple - example of use;

• apply the Pythagorean Theorem to find the distance between two points in a coordinate system; and

• solve problems involving the Pythagorean Theorem including diagonals of 3 dimensional figures.