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Pythagorean Theorem Unit

Pythagorean Theorem Unit. Table of Contents p. 1 p. 3 - 5 Perfect Squares and Square Roots p. 6 Review Perfect Squares p. 7 – 8 Label and Identify Right Triangles p. 9 Label and Identify Right Triangle Quiz p. 10 -12 Verifying a Right Triangle using the Pythagorean Theorem.

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Pythagorean Theorem Unit

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  1. Pythagorean Theorem Unit

  2. Table of Contents p. 1 p. 3 - 5 Perfect Squares and Square Roots p. 6 Review Perfect Squares p. 7 – 8 Label and Identify Right Triangles p. 9 Label and Identify Right Triangle Quiz p. 10 -12 Verifying a Right Triangle using the Pythagorean Theorem

  3. P. 13 – 14 Measuring Right Triangles • P. 15 – 16 Finding the missing side of a right triangle • P. 17 – 18 Practice Problems p. 484 – 4 , 6, and 8 p. 485 – 12, 14, 18 and 19 • P. 19 – 24 Real Life Pythagorean Theorem • Inside back History of Pythagorean Theorem cover Table of Contents p. 2

  4. Definition of Perfect squares List the perfect squares from 1 to 400 Perfect Squares 1 – 400 p.3

  5. Examples: Finding square roots 1. √36 = 2. - √64 3. √4 4. √50 25 Square roots p. 4

  6. p. 472, 8 – 26 even only (in book) – (on p. 5 in Pyth. Th. Book) Homework or Practice p.5

  7. P. 121 – 122 odd only (workbook) Class Grade

  8. You will be making different study aides to help you review and then study your perfect squares, 1 – 400. These study aides will count as a class grade. Dot paper Flash cards Flip review Multiplication Facts (1 x 1 = 1) Writing as squares Perfect Square study aides

  9. Which of the following numbers are perfect squares? 3 8 16 32 26 144 12 256 81 64 50 324 Review from before break p. 6

  10. Describe a right triangle. Define Hypotenuse – Leg – Draw a right triangle and label the legs and the hypotenuse. Right Triangles p. 7

  11. Draw 3 more right triangles turned different ways. Label the legs and hypotenuse on each. Right Triangles – Continued p. 8

  12. Quiz will be glued on this page Right Triangles Quiz p. 9

  13. What does the Pythagorean Theorem verify? What is the equation for the Pythagorean Theorem? What do each of the letters represent? Pythagorean Theorem p. 10

  14. 4 Pythagorean Theorem – is it a right p. 11 triangle? Do these three measurements verify that this is a right triangle? 5 3

  15. Verify if the three measurements form a right triangle. 6, 8, and 10 3, 4, and 8 Pythagorean Theorem – Is it a right p. 12triangle?

  16. Larger Triangle Measuring Right Triangles p. 13

  17. Smaller triangle Measuring Right Triangles p. 14

  18. Find the missing length (side) of the right triangle. c) d) Finding the length of the missing side p. 15 5 c 6 b 12 8

  19. Pythagorean theorem – what is the length p. 16of the missing side? E 5 in G F 11 in. What is the length of EG?

  20. Text book P. 484 – 4, 6, 8 P. 485 – 12, 14, 18, 19 Homework p. 17 - 18

  21. A 20 foot phone pole needs a new support wire. The wire should be attached to the ground 6 feet from the bottom of the pole. Find the length of the wire. Real life use of Pythagorean theorem p. 19 *First draw a picture to get a visual of what you are finding. *Then label the different measures of the picture. *Finally apply the Pythagorean theorem to the picture to solve for the missing side.

  22. Find the length of the diagonal of a rectangle whose length is 8m and whose width is 5 meters. Real life use of Pythagorean theorem p. 20 *First draw a picture to get a visual of what you are finding. *Then label the different measures of the picture. *Finally apply the Pythagorean theorem to the picture to solve for the missing side.

  23. You are setting up a volleyball net using two 8 foot poles to hold up the net. You are going to attach each pole to a stake in the ground using a piece of rope. Each stake should be 4 feet from the pole. Assume that the ropes are stretched tight. How long should each rope be? Real life use of Pythagorean theorem p. 21

  24. A 13 foot step ladder is leaning up against a building. The bottom of the ladder is 5 feet from the building. How high up does the ladder meet the wall? Real life use of Pythagorean theorem p. 22

  25. A kicker is about to attempt a field goal in a football game. The distance from the football to the goal post is 120 feet. The crossbar of the goal post is 10 feet above the ground. Find the distance between the football and the crossbar. Real life use of Pythagorean theorem p. 23

  26. An isosceles right triangle has a hypotenuse length of 6 feet. Find the length of each leg. Real life use of Pythagorean theorem p. 24

  27. Back cover – answers to 10 questions History of Pythagorean Theorem

  28. 1 – Clean hands 2 – Get supplies 1 piece of construction paper scissors glue stick white color pencil ruler notebook paper 3 - Cut the fruit roll-up in 3 pieces. Do not take fruit roll-up off of its paper. 4 – Form a triangle with the pieces and glue the triangle to a piece of construction paper. Pythagorean The0rem Roll-up

  29. 5 – Measure the 3 sides (in cm) and label the right triangle. (Round your measurements to the nearest whole number.) Label the “legs” and “hypotenuse” as well. 6 –Does the three sides form a right triangle or not? Show your work.Explain why or why not. (on notebook paper) 7 – Be sure to put your name on the construction paper. Glue the rubric to your paper. 8 – Clean up your work and pull your fruit roll-up off and enjoy.

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