EngageNY
Thales’ Theorem
Isn't paper pushing supposed to be boring? Learners attempt a paper-pushing puzzle to develop ideas about angles inscribed on a diameter of a circle. Learners then formalize Thales' theorem and use geometric properties to develop a proof...
Jamie York Press
Pythagorean Theorem Cutout Puzzle
If you'd like your lesson on the Pythagorean Theorem to be fun and engaging, check out a math puzzle activity for high schoolers. Your learners will enjoy this visual puzzle that shows how the Pythagorean Theorem works.
West Contra Costa Unified School District
Pythagorean Theorem and Its Converse
Challenge scholars to prove the Pythagorean Theorem geometrically by using a cut-and-paste activity. They then must solve for the missing sides of right triangles.
Curated OER
Pythagorean Theorem
Reinforce the use of the Pythagorean theorem with this problem solving instructional activity. Middle schoolers use the Pythagorean theorem to solve word problems. They work in pairs to find the answers to the problems, and then explain...
Shodor Education Foundation
Pythagorean Theorem
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...
Illustrative Mathematics
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...
Chapman University
Fundamental Theorems of Mathematics
There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are true.
Curated OER
Applying the Pythagorean Theorem to find Distances Between Cities
Young scholars solve problems using the Pythagorean Theorem. In this geometry instructional activity, students identify the Pythagorean Triple and use it to solve real life problems.
Curated OER
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...
Curated OER
Pythagorean Theorem
In this pythagorean theorem worksheet, students identify the missing length of one side for 10 triangles. Each triangle gives the lengths of two sides and students must find the length of the third.
Curated OER
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.
Curated OER
Pythagorean Theorem by Graphic Manipulation
There are many different ways to show a proof of the Pythagorean Theorem. Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...
Curated OER
The Remainder Theorem
In this algebra activity provides extra practice on using the Remainder Theorem to find a factor of a higher degree polynomial. It provides a good review of synthetic division. There are 22 problems with an answer key.
Curated OER
Exploring Square Roots and the Pythagorean Theorem
For learners of algebra, this presentation could be of good use. They are coached on the basics of how to calculate square roots and perfect squares, and they are shown the intriciacies of the Pythagorean Theorem. There are many practice...
Curated OER
7-2 Self Check Pythagorean Theorem Multiple Choice
Middle and high schoolers use the Pythagorean Theorem to determine the length of the sides of a right triangle. They solve distance problems. This one-page worksheet contains 10 multiple-choice problems. This is self-checking worksheet.
Illustrative Mathematics
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...
Curated OER
Hey, Pythagoras! Help Me Understand Your Theorem!
Learners explore the Pythagorean Theorem. For this math lesson, pupils solve problems using the Pythagorean Theorem. They select the appropriate numbers to substitute in the formula to solve problems.
EngageNY
Informal Proof of the Pythagorean Theorem
Prove the Pythagorean Theorem using multiple informal proofs. Scholars first develop an understanding of the origins of the Pythagorean Theorem through proofs. They round out the lesson by using the theorem to find missing side lengths...
EngageNY
Converse of 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...
EngageNY
Applications of the Pythagorean Theorem
Examine the application of the Pythagorean Theorem in problem-solving questions. Pupils apply the theorem to find lengths when given different scenarios. They finish the 17th installment in an 18-part series by applying the theorem to...
EngageNY
Pythagorean Theorem, Revisited
Transform your pupils into mathematicians as they learn to prove the popular Pythagorean Theorem. The 16th instructional activity in the series of 25 continues by teaching learners how to develop a proof. It shows how to prove the...
EngageNY
Ptolemy's Theorem
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
EngageNY
Prove the Pythagorean Theorem Using Similarity
Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.
Mathematics Assessment Project
Discovering the Pythagorean Theorem
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.
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