Use this video to help teach the Pythagorean Theorem. The video can be downloaded, there is a transcript of the video, and a teacher's guide to aid in using the video. [21:38]

Find the area of several figures to prove the Pythagorean theorem. Complete quiz to check understanding. [5:16]

Students learn about irrational numbers, approximating square roots of non-perfect square numbers, and investigate the well-known Pythagorean Theorem to solve for missing measures in right triangles.

Students develop an understanding of right triangles through an introduction to trigonometry, building an appreciation for the similarity of triangles as the basis for developing the Pythagorean theorem.

The purpose of this task is to lead students through an algebraic approach to a well-known result from classical geometry, namely, that a point X is on the circle of diameter AB whenever _AXB is a right angle.

Students learn that math is important in navigation and engineering. They learn about triangles and how they can help determine distances. Ancient land and sea navigators started with the most basic of navigation equations (speed x time = distance). Today, navigational satellites use equations that take into account the relative effects of space and time. However, even these high-tech wonders cannot be built without pure and simple math concepts — basic geometry and trigonometry — that have been used for thousands of years.

In a nutshell, Pythagorean Theorem describes the relationship between the lengths and sides of a right triangle. Watch this video for a detailed explanation along with various examples. [8:48]

This interactive exercise uses distance and speed of travel to solve a real-life problem focusing on the Pythagorean theorem and rate of change.

This task presents a foundational result in geometry, presented with deliberately sparse guidance in order to allow a wide variety of approaches. Teachers should of course feel free to provide additional scaffolding to encourage solutions or thinking in one particular direction. We include three solutions which fall into two general approaches, one based on reference to previously-derived results (e.g., the Pythagorean Theorem), and another conducted in terms of the geometry of rigid transformations.

Students extend their understanding of circles, volume, and surface area into modeling situations, formula analysis, and deeper conceptual understandings.

A geometric model that proves the Pythagorean Theorem in a step-by-step diagram that students can advance at their own pace. Requires Java.

In this interactive, students use logic and mathematical skill to place animals at the correct points on a Cartesian graph representing the cardinal directions. Then, they use the Pythagorean theorem to determine the distances between points. The riddles in the interactive, including one requiring an understanding of rate, have randomized values so that students can place points at different locations and calculate different distances. The activity provides a review of concepts related to determining the distances between points on a Cartesian graph using the Pythagorean theorem and a response sheet to help students work with the interactive.

In this activity, students will use vector analysis to understand the concept of dead reckoning. Students will use vectors to plot their course based on a time and speed. They will then correct the positions with vectors representing winds and currents.

Take a look at this tutorial and learn how to use the Pythagorean theorem to see if a triangle is a right triangle. [2:49]

The Pythagorean theorem is useful in solving how to find the missing length of a side of a right triangle. Check out this tutorial to see how it's done. [4:09]

Video provides an introduction to the Pythagorean theorem and shows how it is used to solve for a missing length on a right triangle. [3:54]