Proofs of the Pythagorean Theorem
Make a proposal for purchasing what you think would be the best-sized HDTV for your classroom.
Skills needed
Work on this task to develop your abilitiy to:
- find or estimate the square and cubed root of non-negative numbers, including 0;
- interpret square and cubed roots as both points of a line segment and lengths on a number line;
- use the properties of real numbers (commutative, associative, distributive, inverse, and identity) and the order of operations to simplify and evaluate numeric and algebraic expressions involving integer exponents, square and cubed roots;
- work with radical expressions and approximate them as rational numbers;
- determine the relationship between the hypotenuse and legs of a right triangle;
- use deductive reasoning to prove the Pythagorean Theorem and its converse;
- apply the Pythagorean Theorem to determine unknown side lengths in right triangles;
- determine if a triangle is a right triangle, Pythagorean triple;
- apply the Pythagorean Theorem to find the distance between two points in a coordinate system; and
- solve problems involving the Pythagorean Theorem.
Learning
Study the proofs, read and annotate the textbooks, and do the exercises for the Pythagorean Theorem provided in the Gooru Collection: Buy an HDTV.
Making
Use your own words, diagrams, equations, interactives, or videos to explain three different proofs of the Pythagorean Theorem to a peer who still has some doubts about the theorem's validity.
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Submit your explanations, get some feedback, and earn this badge for this task:
