Learning Unit: The Pythagorean Theorem

What special relationship exists among the sides of a right triangle? Explore this relationship using a computer applet, cut-and-paste activity, and video tutorial to develop the Pythagorean Theorem and its significance to right triangles.

Use the given tasks and detailed teacher's commentary to introduce your 8th graders to the Pythagorean theorem and its converse. Embedded links to information about Egyptian geometry make your presentation interesting. Consider giving...

Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...

Participants who use this resource will apply the Pythagorean Theorem to show whether or not the shaded triangle inscribed in a rectangle is a right triangle. Once all of the sides on the shaded triangle are found, it is important that...

Young mathematicians join the ancient order of the Pythagoreans by completing an assessment task that asks them to find the area of tilted squares on dot paper. They then look at patterns in the squares to develop the Pythagorean Theorem.

Discover a new application of the Pythagorean Theorem. Learners prove and apply the converse of the Pythagorean Theorem in the 17th lesson in a 25-part series. The examples ask learners to verify right triangles using the converse of the...

Do your geometry pupils complain they'll never use this stuff in real life? Prove them wrong with this straightforward lesson, in which they apply the Pythagorean theorem to real-world problems as well as mathematical problems. The...

Most adults remember learning about the Pythagorean theorem, but they don't all remember how to use it. The emphasis here is on developing an intuitive understanding of how and when to use the theorem. Young mathematicians explore...

Pairs use the Pythagorean Theorem to work a problem dealing with utility poles. They collaborate to determine where to attach a guide wire to a pole. 

As an introduction to the activity, learners verify the Pythagorean theorem with a hands-on proof. Then, pupils use the theorem to determine whether three side lengths could form a right triangle and choose one of two real-life...