Practice, Practice, Practice!

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Presentation transcript:

Practice, Practice, Practice!

Focus 5 - Learning Goal #1: Students will understand and apply the Pythagorean Theorem. 4 3 2 1 In addition to level 3.0 and beyond what was taught in class, the student may: Make connection with other concepts in math. Make connection with other content areas. Explain the relationship between the Pythagorean Theorem and the distance formula. The student will understand and apply the Pythagorean Theorem. Prove the Pythagorean Theorem and its converse. Apply the Pythagorean Theorem to real world and mathematical situations. Find the distance between 2 points on a coordinate plane using the Pythagorean Theorem. The student will understand the relationship between the areas of the squares of the legs and area of the square of the hypotenuse of a right triangle. Explain the Pythagorean Theorem and its converse. Create a right triangle on a coordinate plane, given 2 points. With help from the teacher, the student has partial success with level 2 and level 3 elements. Plot 3 ordered pairs to make a right triangle Identify the legs and the hypotenuse of a right triangle Find the distance between 2 points on the coordinate grid (horizontal and vertical axis). Even with help, students have no success with the unit content.

Practice the Pythagorean Theorem The base of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder? ? feet 8 feet a2 + b2 = c2 82 + 62 = c2 64 + 36 = c2 100 = c2 10 = c 6 feet The length of the ladder is 10 feet.

Practice the Pythagorean Theorem Donna's TV screen is 20 inches long. If the diagonal measures 25 inches, how long is the width of Donna's TV? ? inches 25 inches 20 inches a2 + b2 = c2 202 + b2 = 252 400 + b2 = 625 b2 = 225 b = 15 The width of the TV is 15 inches.

Practice the Pythagorean Theorem Town A is 9 miles north of Town B. Town C is 12 miles east of Town A. A road connects towns B and C directly. Find the length of this road. Town C Town A 12 miles 9 miles ? miles Town B a2 + b2 = c2 92 + 122 = c2 81 + 144 = c2 225 = c2 15 = c The length of the road is 15 miles.

Practice the Pythagorean Theorem If the legs of an isosceles right triangle are 5 inches long, find the length of the hypotenuse. 5 inches 5 inches ? inches a2 + b2 = c2 52 + 52 = c2 25 + 25 = c2 50 = c2 The hypotenuse is between 7 and 8 inches long.

Your Assignment! “The Pythagorean Theorem wkst”