Lesson Plans and Worksheets
Browse by Subject
- Lori V.
- Houston, TX
Pythagorean Theorem Teacher Resources
Find Pythagorean Theorem educational ideas and activities
As an introduction to the lesson, 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 situations to examine using the theorem. Terrific activities and worksheets are embedded.
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 applets that simulate squaring the sides of a right triangle and practice putting the theorem to use. More advanced levels of the app use sides length of decimal numbers, requiring learners to deal with precision in their answer.
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 your class members a 12-inch piece of yarn with which to demonstrate a right triangle and the Pythagorean theorem triples the way that this ancient culture did.
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 lesson includes several attachments for the assignment, as well as resource links for an extension of the activity.
In this roots and the Pythagorean Theorem worksheet, learners solve 15 different types of problems related to square roots and applying the Pythagorean Theorem. They first determine the square root of each number and then, the cube root. Pupils also determine the length of each unknown side in the illustrations shown and determine the sets of numbers that can be the lengths of the sides of a right triangle.
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 your class understands that the largest side may be the hypotenuse. From there, it is easy to apply the Pythagorean Theorem to solution II of the commentary.
Young geometers use technology (Geometer’s Sketchpad) to explore the Pythagorean Theorem and analyze different proofs. Students work in small groups to gain insight into the relationships of the sides of right triangles by constructing and measuring a variety of right triangles, using GSP to prove the theorem, and solving a number of different problems.
Middle and high schoolers use the Pythagorean Theorem to complete a table showing with the magnetic field strengths in given cities. They find the average value of the Earth's magnetic field and plot one of the three-dimensional values that make up the magnetic field on a map to observe any patterns.
Young scholars find missing side lengths of triangles. In this finding missing side lengths of triangles lesson, pupils use the Pythagorean theorem. They derive the distance formula from the Pythagorean Theorem. Pupils solve Pythagorean Theorem word problems involving triangles in real life.
By first starting with an explicit example of a radius and center point, this challenging lesson tries to help students gain an understanding of the Pythagorean theorem and the equation of a circle. Once they have accomplished the first task, they move toward developing a generalized equation of a circle.
Grab your hiking gear and get ready for a math adventure! Learners explore the meaning of percent grade change, as compared to the slope in an excellent instructional activity activity about hiking trails in the mountains of New Hampshire. They use real data to compute the percent grade change for roadways and trails, then use their results to draw conclusions about steepness of inclines. A review of the Pythagorean theorem is incorporated into the lesson. The publisher has identified this as compatible with CCSS.Math.Content.7.EE.3, but it may be challenging for seventh graders.