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8 th Grade Math

8 th Grade Math. 1 st Period Nov . 5, 2012. You have 7 min. to complete your Do Now! Quiz. You MUST show your work You may use a calculator You may use your notes You may NOT talk. HW Review on 11-7 PowerPoint. Warm-Up.

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8 th Grade Math

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  1. 8th Grade Math 1st Period Nov. 5, 2012

  2. You have 7 min.to complete your Do Now! Quiz • You MUST show your work • You may use a calculator • You may use your notes • You may NOT talk

  3. HW Review on 11-7 PowerPoint

  4. Warm-Up At Emmit’s Evergreen Farm, the taller trees are braced by wires. A wire extends from 2 feet below the top of a tree to a stake in the ground. What is the tallest tree that can be braced with a 25-foot wire staked 15 feet from the base of the tree?

  5. Warm-Up: Answer At Emmit’s Evergreen Farm, the taller trees are braced by wires. A wire extends from 2 feet below the top of a tree to a stake in the ground. What is the tallest tree that can be braced with a 25-foot wire staked 15 feet from the base of the tree? 18 ft

  6. Using The Pythagorean Theorem In Word Problems Back of WS #2 – Problem #8: What is the length of the diagonal of a 10 cm by 15 cm rectangle? Draw a picture: x 10 15

  7. Looking for length of the hypotenuse a2 + b2 = c2 102 + 152 = x2 100 + 225 = x2 325 = x2 The diagonal of a 10 cm by 15 cm rectangle is approx. 18.028 cm. Using the Pythagorean Theorem x 10 15

  8. Using The Pythagorean Theorem In Word Problems Back of WS #2 – Problem #9: The diagonal of a rectangle is 25 in. The width is 15 in. What is the length? Draw a picture: 25 X 15

  9. Looking for length of a leg a2 + b2 = c2 x2 + 152 = 252 x2 + 225 = 625 -225-225 x2 = 400 x = 20 The length of the rectangle is 20 in. Using the Pythagorean Theorem 25 X 15

  10. You Try! Back of WS #2 – Problems #10-15 • For Problem #15, fill in the following picture:

  11. HW • Back of WS #2 – Problems #10-15 • Front of WS #2 – Problems #1-7 (if you haven’t completed it already) • Tomorrow’s Do Now! Quiz will have: • Four Pythagorean Theorem word problems

  12. 8th Grade Math 2nd Period Only Nov. 5, 2012

  13. You have 7 min.to complete your Do Now! Quiz • You MUST show your work • You may use a calculator • You may use your notes • You may NOT talk

  14. HW Review on 11-7 PowerPoint

  15. No Warm-Up

  16. Using The Pythagorean Theorem In Word Problems Back of WS #2 – Problem #8: What is the length of the diagonal of a 10 cm by 15 cm rectangle? Draw a picture: x 10 15

  17. Looking for length of the hypotenuse a2 + b2 = c2 102 + 152 = x2 100 + 225 = x2 325 = x2 The diagonal of a 10 cm by 15 cm rectangle is approx. 18.028 cm. Using the Pythagorean Theorem x 10 15

  18. Using The Pythagorean Theorem In Word Problems Back of WS #2 – Problem #9: The diagonal of a rectangle is 25 in. The width is 15 in. What is the length? Draw a picture: 25 X 15

  19. Looking for length of a leg a2 + b2 = c2 x2 + 152 = 252 x2 + 225 = 625 -225-225 x2 = 400 x = 20 The length of the rectangle is 20 in. Using the Pythagorean Theorem 25 X 15

  20. You Try! Back of WS #2 – Problems #10-15 • For Problem #15, fill in the following picture:

  21. Remediation: Using Square Roots & Cube Roots to Solve Equations Solve . • Option 1: Think, “What squared gives me 64?” • Remember: Squaring is multiplying something by itself 2 times. For example, . • Option 2: Think, “x is being squared; how do I undo squaring?” • Either way, the answer is .

  22. Remediation: Using Square Roots & Cube Roots to Solve Equations Solve . • Option 1: Think, “What squared gives me 35?” • However, you can’t square a whole number or a fraction to give you 35. • Use Option 2 instead. • Option 2: Think, “x is being squared; how do I undo squaring?” • The answer is .

  23. FYI Unless the problems says otherwise: • You may leave irrational answers as square roots in traditional Pythagorean Theorem problems (not word problems). • You should give numerical approximations of irrational answers in Pythagorean Theorem word problems; round to the number of decimal places specified in the directions.

  24. Remediation: Using Square Roots & Cube Roots to Solve Equations Solve . • Option 1: Think, “What cubed gives me 64?” • Remember: Cubing is multiplying something by itself 3 times. For example, . • Option 2: Think, “x is being cubed; how do I undo cubing?” • Either way, the answer is .

  25. Remediation: Using Square Roots & Cube Roots to Solve Equations Solve . • Option 1: Think, “What cubed gives me 20?” • However, you can’t cube a whole number or a fraction to give you 20. • Use Option 2 instead. • Option 2: Think, “x is being cubed; how do I undo cubing?” • The answer is .

  26. HW • Back of WS #2 – Problems #10-15 • Front of WS #2 – Problems #1-7 (if you haven’t completed it already) • Tomorrow’s Do Now! Quiz will have: • Two equations you need to solve by square rooting or cube rooting • Two Pythagorean Theorem word problems

  27. 8th Grade Math 4th Period Nov. 5, 2012

  28. You have 7 min.to complete your Do Now! Quiz • You MUST show your work • You may use a calculator • You may use your notes • You may NOT talk

  29. HW Review on 11-7 PowerPoint

  30. Warm-Up At Emmit’s Evergreen Farm, the taller trees are braced by wires. A wire extends from 2 feet below the top of a tree to a stake in the ground. What is the tallest tree that can be braced with a 25-foot wire staked 15 feet from the base of the tree?

  31. Warm-Up: Answer At Emmit’s Evergreen Farm, the taller trees are braced by wires. A wire extends from 2 feet below the top of a tree to a stake in the ground. What is the tallest tree that can be braced with a 25-foot wire staked 15 feet from the base of the tree? 18 ft

  32. Using The Pythagorean Theorem In Word Problems Back of WS #2 – Problem #8: What is the length of the diagonal of a 10 cm by 15 cm rectangle? Draw a picture: x 10 15

  33. Looking for length of the hypotenuse a2 + b2 = c2 102 + 152 = x2 100 + 225 = x2 325 = x2 The diagonal of a 10 cm by 15 cm rectangle is approx. 18.028 cm. Using the Pythagorean Theorem x 10 15

  34. Using The Pythagorean Theorem In Word Problems Back of WS #2 – Problem #9: The diagonal of a rectangle is 25 in. The width is 15 in. What is the length? Draw a picture: 25 X 15

  35. Looking for length of a leg a2 + b2 = c2 x2 + 152 = 252 x2 + 225 = 625 -225-225 x2 = 400 x = 20 The length of the rectangle is 20 in. Using the Pythagorean Theorem 25 X 15

  36. You Try! Back of WS #2 – Problems #10-15 • For Problem #15, fill in the following picture:

  37. HW • Back of WS #2 – Problems #10-15 • Front of WS #2 – Problems #1-7 (if you haven’t completed it already) • Tomorrow’s Do Now! Quiz will have: • Four Pythagorean Theorem word problems

  38. Common Core Math I 5th Period Nov. 5, 2012

  39. HW Review:How to Estimate a Line of Best Fit • Sketch a straight line that runs as close to as many data points as possible. • Estimate the coordinates of two points on your line, and use them to write your line’s rule (y = mx + b form). • (0, 0) and (6, 2) • (0, 0)  b = 0

  40. HW Review: Practice • Sketch a straight line that runs as close to as many data points as possible. • Estimate the coordinates of two points on your line, and use them to write your line’s rule (y = mx + b form). • (0, 50) and (800, 150) • (0, 50)  b = 50

  41. No Warm-Up

  42. Notes: Using Linear Models to Predict Given that your best fit line is : • What shadow location would you predict when the flag height is 12 feet? 25 feet? • Graphical answers (see right) • Algebraic answers:

  43. Notes: Using Linear Models to Predict Given that your best fit line is : • What flag height would locate the flag shadow 6.5 feet from the base of the pole? 10 feet from the base of the pole? • Graphical answers (see right) • Algebraic answers: 19.5 = x • 30 = x

  44. Practice:Using Linear Models to Predict Given that your best fit line is : • Predict the flight time for westbound flights 1200 miles in distance. • Predict the distance for westbound flights with 12 hours of flight time.

  45. Practice:Using Linear Models to Predict Given that your best fit line is : • Use your rule to predict the flight time for westbound flights 1200 miles in distance. • Use your rule to predict the distance for westbound flights with 12 hours of flight time. •  x = 5360

  46. CW/HW • CW: "CW/HW: Using Linear Models to Predict"

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