August 2017 has STEM on the brain. A few days in advance of a total solar eclipse, mathematicians everywhere will be celebrating Pythagorean Theorem Day, August 15, 2017, one of the rare dates that lines up with the theorem. The date illustrates the theorem, which states that, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the square of the lengths of the other two sides of the triangle. It’s a great day to consider the contributions of Pythagoras and geometry in general. Discovery Education has plenty of resources of various types. You and your students can add these resources together to equal lots of great learning!
Be sure to post the equation on the board: 8² + 15² = 17²
Geometric Proofs: Content Collection
Discovery Education Streaming
Grades K-2, 3-5, 6-8, 9-12, Assorted Resources
Mathematicians in ancient Greece such as Euclid and Pythagoras applied deductive reasoning to mathematical thinking and developed the first of the theorems that form the basis of geometric proofs. Apply these theorems to solve real-world problems.
Building Background Knowledge
Basic review of triangles, including definitions of various types of triangles. Reviews angles, lengths, hypotenuse, area, and the Pythagorean Theorem.
Describes the contributions of the Greek philosopher and mathematician Pythagoras in the areas of philosophy, numerology, number theory, and geometry.
Euclid’s proof of the Pythagorean Theorem is explained.
Help Pythagoras make his way out of the temple maze by proving the Pythagorean Theorem. Study the properties of triangles and Euclid’s Proof of the Pythagorean Theorem in order to escape the maze and avoid being devoured by the Minotaur.
Grades 6-8, Animation
The measure of a cable on a bridge can be found using the Pythagorean theorem. The converse of the Pythagorean theorem is used to determine whether the sides of a triangle are those of a right triangle.
Proves the Pythagorean Theorem and explores uses for the formula in real-world problems. Includes links to a glossary and a quiz.
This teaching strategy requires students to retell a story or concept by focusing on key points and supporting details or evidence. Students create videos featuring logical sequencing of salient points. This video format fits well with the step-by-step nature of both equations and geometric proofs. Encourage students to illustrate the steps in the Pythagorean Theorem’s equation and/or proof.