Curated OER
Investigating the Pythagorean Triples
Learners investigate the Pythagorean triples. In this geometry lesson plan, students solve for different parts of a right triangle. They identify the missing side or angle using the pythagorean theorem.
Curated OER
Primes and Triples
In this primes instructional activity, students list three triples that are generated by formulas. They explain how to generate these formulas and discuss the Pythagorean Triples. This one-page instructional activity contains one...
Texas Instruments
Texas Instruments: Numb3 Rs: Pythagorean Triples
Based off of the hit television show NUMB3RS, this lesson has students explore the notion of Pythagorean triples, the "traditional" method for finding Pythagorean triples, and a method to find triples which utilizes the Fibonacci...
Varsity Tutors
Varsity Tutors: Hotmath: Graphing Calculator Practice Problems Pythagorean Theorem
Practice using your graphing calculator for real number problems, including the Pythagorean Theorem. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly under each...
CK-12 Foundation
Ck 12: Geometry: Pythagorean Theorem and Pythagorean Triples
[Free Registration/Login may be required to access all resource tools.] This concept teaches students the Pythagorean Theorem and its converse and how to apply it.
Wolfram Research
Wolfram Math World: Right Triangle
This site from MathWorld.com offers extensive information on right triangles. The site contains information on numerous characteristics of right triangles, including constructing similar inscribed triangles, altitudes, Pythagorean...
CK-12 Foundation
Ck 12: Pythagorean Triples
[Free Registration/Login Required] Students explore the concept of pythagorean triples by navigating through the interactive learning module and then answering questions that go along with the module. Students can also learn more about...
Khan Academy
Khan Academy: Right Triangle Side Lengths
Use the Pythagorean Theorem to determine if the given side lengths could form a right triangle, i.e., which set forms a Pythagorean triple. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...
Mathigon
Mathigon: Geometry: Triangles and Trigonometry: Pythagoras' Theorem
Pythagoras' Theorem: In any right-angled triangle, the square of the length of the hypotenuse (the side that lies opposite the right angle) is equal to the sum of the squares of the other two sides. (A+B=C)
Illustrative Mathematics
Illustrative Mathematics: A Apr Trina's Triangles
In this task, students investigate polynomial identities in order to generate Pythagorean triples. Aligns with A-APR.C.4.
Illustrative Mathematics
Illustrative Mathematics: 8.g Converse of the Pythagorean Theorem
This task asks students to explain what the Pythagorean Theorem and its converse are, how the converse works, and why it is true. Aligns with 8.G.B.6.
CK-12 Foundation
Ck 12: Geometry: Pythagorean Theorem Study Guide
[Free Registration/Login may be required to access all resource tools.] This study guide is an overview of the Pythagorean theorem and its converse, Pythagorean triples, and proving the distance formula.
Illustrative Mathematics
Illustrative Mathematics: A Rei Pythagorean Triples
This task has two separate goals: the first is to solve a pair of equations, one quadratic and the other linear. The second goal is to observe that a point that lies on a circle gives rise to a Pythagorean triple. Aligns with A-REI.C.7.
ClassFlow
Class Flow: Difference of Squares (Algebra)
[Free Registration/Login Required] Pythagorean triples described using a number of triangles. Pythagorean Theorem reinforced using squares and triangles. Assessment built in.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Pythagorean Triples
Find a quick, concise explanation of Pythagorean triples. Examples are given and clearly explained.
Math Is Fun
Math Is Fun: Pythagorean Triples
Students investigate the sets of whole numbers that are Pythagorean triples. A definition and examples are included.
Mocomi & Anibrain Digital Technologies
Mocomi: What Is the Pythagorean Theorem?
Explains the Pythagorean Theorem formula, the Pythagorean Triples, and why the theorem is important.