Pythagorean Theorem
Understand and apply the Pythagorean Theorem.
8.G.B.6
Explain a proof of the Pythagorean Theorem and its converse.
_____a. I can identify the formula for Pythagorean Theorem.
_____b. I can define square root, Pythagorean theorem, right triangle, legs, hypotenuse,
sides, right angles, converse, base, height proof
_____c. I can identify the legs and hypotenuse of a right triangle.
_____d. I can use the formula for Pythagorean theorem to justify the validity of a proof
and its converse which means the reverse process.
_____e. I can use manipulatives to prove the theorem.
_____f. I can use the sides of a triangle to determine if it is a right triangle.
8.G.B.7
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in
real-world and mathematical problems in two and three dimensions.
_____a. I can recall the Pythagorean theorem and its converse.
_____b. I can substitute values into the theorem to calculate distances using real world
problems.
_____c. I can solve basic mathematical theorem problems and its converse to find the
missing lengths of the sides of triangles in two and three dimensions.
8.G.B.8
Apply the Pythagorean Theorem to find the distance between two points in a coordinate
system.
_____a. I can recall the theorem and its converse.
_____b. I can use the theorem to determine the distance between two points
_____c. I can determine how to create a right triangle from two points on a coordinate
graph.
_____d. I can substitute ordered pairs into the theorem to calculate distances using a
coordinate plane.
VOCABULARY: converse, proof, leg, hypotenuse
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pythagorean theorem