Pythagorean Theorem Teacher Resources
Find Pythagorean Theorem educational ideas and activities
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Crossing into the realm of geometry with this video, Sal introduces the Pythagorean Theorem to viewers. He uses several examples (and right triangles) to illustrate the uses and application of the Pythagorean Theorem.
New! The Pythagorean Theorem Intro
First in a series on the Pythagorean theorem, this video introduces the formula one employs in order to discover the measurement of a side of a right triangle. The material is introduced and explained in a straightforward and easy-to-understand manner. Consequently, it would be an excellent tool for introducing this concept.
Proofs into Practice: The Pythagorean Theorem in the Real World
As an introduction to the instructional 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 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.
Converse of the Pythagorean Theorem
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.
Pythagorean Theorem: Prove It (Part 2)
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.
Applying the Pythagorean Theorem in a Mathematical Context
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.
New! Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine the current storage capacity and design a new storage facility to use for an anticipated increase in production. The activity uses knowledge of the Pythagorean Theorem, area of a circle, properties of triangles, understanding of volume, unit analysis, and percentage increase.
New! Access Ramp
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem, trigonometry ratios, angles of elevation, and geometry. After all the calculations are complete, learners write recommendation letters to outline the specific advantages and disadvantages to specific designs.
Students analyze properties of right triangles. In this geometry lesson, students identify the different parts and ratios of right triangles. They use the Pythagorean Theorem to find the missing sides and angles of a right triangle.
Bird and Dog Race
Your pupil's pet dog and bird are racing down the city streets. In order to know who is going to win, they better know something about calculating rates, the Pythagorean Theorem, and applying those topics to the map of the city.
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 worksheet 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.
Getting it Right! An Investigation of the Pythagorean Theorem
In order to learn about the Pythagorean Theorem, young mathematicians investigate relations and patterns between different sides of a right triangle to look for possible relations among the squared sides. Once they have established the relationship, they generate visual proofs, investigate the Web for additional information about Pythagoras, and use geometry software to explore other implications of the theorem. Finally, they put the theorem to use by measuring the distance between two opposite ends of their school, both on paper and directly.
Students discover the Pythagorean Theorem. In this discovering the Pythagorean Theorem lesson, students measure the lengths of various triangles to the nearest centimeter. Students record their measurements in a table. Students square each measurement and determine the relationship the two sides of a triangle have to the hypotenuse.
Students use the pythagorean theorem to solve problems. In this geometry lesson, students solve parts of a right triangle using the properties of the pythagorean theorem.
Explaining the equation for a circle
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.
History of Pythagorean Theorem
Students apply properties of the Pythagorean Theorem to solve problems. In this geometry lesson, students solve right triangles by identify the ratios of the sides and angles.
Learning Unit: The Pythagorean Theorem
Middle and high schoolers research the life of Pythagoras and the Pythagorean theorem. They write a short biography of Pythagoras and learn to apply the theorem in their study of right triangles.
The Pythagorean Theorem
In this geometry worksheet, 10th graders apply the Pythagorean Theorem as they determine the length of the missing leg or hypotenuse in right triangles. The one page worksheet contains twelve questions. Answers are included.
In this geometry worksheet, 10th graders solve for missing sides and angles of a triangle. They use the pythagorean theorem to solve for the unknown in a right triangle. There are 5 questions on this worksheet.