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...
CK-12 Foundation
Solving Equations Using the Pythagorean Theorem: Cryptography
Don't keep this resource a secret. Individuals learn to use the Pythagorean Theorem to find Pythagorean triples. They also see how Pythagorean triples can be useful in the field of cryptography to encrypt secret messages.
EngageNY
Trigonometry and the Pythagorean Theorem
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
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...
Shodor Education Foundation
Pythagorean Explorer
Make sure the measurement is right. The interactive provides right triangles with a missing side measurement. Pupils use the given sides and the Pythagorean Theorem to calculate the length of the missing side. After entering the length,...
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...
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...
EngageNY
The Power of Algebra—Finding Pythagorean Triples
The Pythagorean Theorem makes an appearance yet again in this lesson on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity.
CK-12 Foundation
Identifying Sets of Pythagorean Triples: The iPad is a Pythagorean Triple
Compare iPad and HDTV aspect ratios. Individuals use the interactive to determine whether the measurements of screens represent a Pythagorean triple. The pupils determine what changes are needed to make a Pythagorean triple.
CK-12 Foundation
Identifying Sets of Pythagorean Triples: Matching Problem
What sets of whole numbers make up the measures of side lengths in right triangles? Pupils use an interactive triangle to learn about Pythagorean triples. Individuals find missing values in triples and learn more about Pythagorean...
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...
Radford University
Right Triangle Sports
Who knew math could help with sports? An invigorating set of lessons encourages learners to apply right triangles in baseball, volleyball, hockey, football, and soccer. They use the Pythagorean Theorem, Pythagorean triples, special right...
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...
Under the Dome
The Pythagoras Tree
View a tree designed by Pythagoras. Pupils watch a video as a tree is built by using squares representing the side lengths of a right triangle, with each side of the squares becoming the side of another triangle. Learners come up with...
Mathematics Assessment Project
College and Career Readiness Mathematics Test C2
Scholars apply knowledge learned over their high school math courses in order to determine their college readiness. The 20-page resource emphasizes applied problem solving.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
CK-12 Foundation
Ck 12: Geometry: Pythagorean Theorem and Pythagorean Triples
[Free Registration/Login may be required to access all resource tools.] Apply the Pythagorean Theorem and its converse. Includes videos, exercises, links to interactive activities, etc.
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: Pythagorean Theorem and Pythagorean Triple
[Free Registration/Login Required] Students will determine the number of pixels a phone has on the screen by using the pythagorean theorem and pythaogrean triple. Click learn more to watch a video and click challenge me to answer a...
Texas Education Agency
Texas Gateway: Applying Pythagorean Triples to Solve Problems
Given verbal and pictorial representations of problem situations, the student will apply patterns from right triangles whose sides are Pythagorean Triples to solve the problems.
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...
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)
CK-12 Foundation
Ck 12: Swimming Pools
[Free Registration/Login Required] Students use knowledge of pythagorean theorem and pythagorean triple to determine the size and compare the size of the new pool to the old pools. Click learn more to watch a video and click challenge me...
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...