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...
Charleston School District
Pythagorean Theorem and Converse
You've heard that it is true, but can you prove it? Scholars learn the Pythagorean Theorem through proof. After an overview of proofs of the theorem, learners apply it to prove triangles are right and to problem solve. This is the second...
EngageNY
The Converse of the Pythagorean Theorem
Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a lesson plan that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with...
Flipped Math
Pythagorean Theorem and Its Converse
Make sure it is all right in class. Pupils review the Pythagorean Theorem and find sides of right triangles, either by simplifying radicals or using calculators to find approximate lengths. Learners find out how to use the converse to...
Curated OER
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...
EngageNY
Systems of Equations Leading to Pythagorean Triples
Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...
Curated OER
Pythagorean Theorem
In this Pythagorean Theorem activity, 10th graders solve and complete 19 various types of problems. First, they draw the square shown and divide its sections as shown. Then, students cut out the 6 parts of the square and rearrange the 4...
Virginia Department of Education
The Pythagorean Relationship
Add up areas of squares to discover the pythagorean relationship. Small groups create right triangles with squares along each side. They calculate the areas of each square and notice the relationship. Groups construct other types of...
Curated OER
Pythagorean Theorem Worksheet
In this online math worksheet, students use the Pythagorean Theorem to determine if given triangles are "right" triangles. This excellent resource allows the students to check their answers, and to get "hints" should they run into...
Curated OER
Seventeen Math Regents Exam Pythagorean Theorem Questions
In this Pythagorean Theorem worksheet, learners solve seventeen Math Regents Exam questions using the Pythagorean Theorem. The solutions are provided.
Curated OER
The Pythagorean Theorem
In this geometry learning exercise, students solve missing parts of a triangle using the Pythagorean Theorem. There are 19 questions with an answer key.
Corbett Maths
Pythagoras Rectangles and Isosceles Triangles
When does the Pythagorean Theorem come in handy? An intriguing video uses the Pythagorean Theorem to solve problems other than simply finding the length of a side of a right triangle. Pupils find the diagonal of a rectangle and the...
University of Utah
Geometry: Angles, Triangles, and Distance
The Pythagorean Theorem is a staple of middle school geometry. Scholars first investigate angle relationships, both in triangles and in parallel lines with a transversal, before proving and applying the Pythagorean Theorem.
Curated OER
Guess & Check Extra Credit
In this Pythagorean Theorem worksheet, students use the Pythagorean theorem to compute the length of a missing side. They identify Pythagorean triples. This three-page worksheet contains 34 problems.
Curated OER
Right Triangles & Pythagorean Theorem
In this math worksheet, students find the missing angles for the right triangles using the Pythagorean Theorem. Then they label the adjacent and opposite angles.
Corbett Maths
Showing a Triangle Is Right Angled
Determine whether it is right or not. Using the Pythagorean Theorem, the video shows how to determine whether a triangle is a right triangle. Pupils practice the skill in a few of the problems in the associated worksheets on the...
Corbett Maths
3D Pythagoras
Calculate one hypotenuse then repeat. The resource provides a variety of ways for finding the length of the diagonal in a prism. Using the Pythagorean Theorem, pupils find a variety of distances in 3-D figures. The distances range from...
Mathematics Assessment Project
Pythagorean Triples
What special relationships exist in right triangles? In the high school performance task, learners investigate Pythagorean triples. They then determine rules for the perimeter and area of right triangles given the shortest side.
Math Stars
Math Stars: a Problem-Solving Newsletter Grade 8
You've just hit the jackpot of integrating math problems and riddles with this jumbo-sized resource! Written as a newsletter, scroll through 35 pages of puzzles and quality problems to engage and encourage your learners to inquire...