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9/23/13 Mon

9/23/13 Mon. Boot-Up 9.23.13 / 6 min. A photo measuring 5 inches in width by 4 inches in length is enlarged to produce a photo with a length of 16 inches. What is the width of the enlargement ? _________ What scale factor was used to make the enlargement ? _________.

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9/23/13 Mon

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  1. 9/23/13 Mon

  2. Boot-Up 9.23.13 / 6 min. A photo measuring 5 inches in width by 4 inches in length is enlarged to produce a photo with a length of 16 inches. What is the width of the enlargement? _________ What scale factor was used to make the enlargement? _________

  3. Find p 154: Methods & Meanings

  4. What is a “Ratio”? How can a ratio be expressed? What is a “Ratio of Similarity”? 4) What Ratio of Similarity is being used for the 2 s in the textbook? 5) What is a Zoom Factor (or Scale Factor)?

  5. → means 6 units of length on one hypotenuse compared to 10 units on the other hypotenuse Where did the 3/5 come from?

  6. Find Lesson 3.1.3 • Today’s To-Do List: • 3-24  3-27 • 3-25  3-28 • 3-26

  7. Team Expectations Facilitators: Remember, there is usually > 1 way to solve a problem. Make sure everyone’s ideas are heard. Task Mgrs: Make sure each person justifies their ideas. Recorder/Reporters: Make sure each person is writing. Recorder/Reporters: Get resources as needed, including Teacher, but Make sure your team is “Asking 3 before me.”

  8. 3-24 Tracing Paper?

  9. 3-24 7 2 6 21 Does this remind you of anything we did in class?

  10. 3-24

  11. Does this remind you of anything we did in class? Stretch Point (Point of Dilation) 3-24

  12. 2 7 2 6 6 21 7 21 = = 3-24

  13. 6 x 3 4 2 4 6 x = = 3-24

  14. 3-26

  15. 3-26 3 3 Zoom Factor: 3/2 = 1.5 2 2 9 9 12 12 6 6 8 8 3 2 6 9 Graph Paper

  16. Similar(~) figures: sare congruent (), but Sides are not. (The sides are proportional.) 3-27

  17. Similar(~) figures: Perimeters (& side lengths) are found by multiplying by the zoom (scale) factor. Areas are found by multiplying by the square of the zoom (scale) factor. Areas 3-28

  18. Ratios: A comparison of 2 #s. Ex: 1 dog : 2 cats 1 2 Proportions: A comparison of 2 ratios. 1 = 2 2 4

  19. Lesson 3.1.3 pgs 158 – 159 #s 3-29 – 3-34

  20. 9/124/13 Tue

  21. What is the relationship between the s shown below? A) Congruent B) Complementary C) Supplementary 2) Solve for x 2x + 3 2x + 3 4x - 9 4x - 9 Boot-Up 9.24.13 / 6 min.

  22. 1) What do we know about these s? Supplementary = 180  2) What do we know about the red s? Alternate Interiors  Alternate Interiors 3) What do we know about the green s?

  23. 2-38

  24. What is the sum of s x & y? Rianna says something’s wrong with this picture. Do you agree? Same Side Interiors Supplementary 2-46

  25. 2-47

  26. Based on the degree measurements shown, must lines FG & HI be parallel? If so, complete this sentence: Theorem: If ______________ angles are supplementary, then the lines intersected by a ___________ are ________. 2-48

  27. 2-48 Theorem: If same-side interior angles are supplementary, then the lines intersected by a transversal are parallel.

  28. Honey, I shrunk the Polygons! (They still look the same, though.) Similar (~):Figures that are the same shape but not necessarily the same size. ~ ~ x° x° y° y° x° x°

  29. Honey, I shrunk the Polygons! (They still look the same, though.) Similar(~) figures: Their orientation (position in space) does not matter! ~ ~

  30. Similar(~) figures: Angles are congruent, but Sides are not. (The sides are proportional.) x° z° z° y° y° x°

  31. Proportional: The lengths of corresponding sides of similar figures form equivalent fractions. z° 6” z° 3” x° y° y° y° x° 8” 4” What other fractions that are equivalent to 3/4?

  32. The following diagram shows similar figures. What is the value of side x? 18 12 10 x A) 10 B) 12 C) 15 D) 180

  33. Similar (~) figures: Angles are congruent (), but Sides are proportional. 15 ft. 70° 9 ft. 2.9 in. 2.9 in. 55° 55° 3.5 in. 10 ft. 80° 3.2 in. 3.2 in. 6 ft. 4.1 in. 50° 50°

  34. So, look at the angles 1st! If the angles are not , then the figures are not ~ 15 ft. 70° 9 ft. 2.9 in. 2.9 in. 55° 55° 3.5 in. 10 ft. 80° 3.2 in. 3.2 in. 6 ft. 4.1 in. 50° 50°

  35. What is this question asking you to find? How can you use similarity to solve this problem? Is there something in this room that you can use to compare to the monument? What parts do you need to compare? Do you have any math tools that can help you gather information? 3-35

  36. 3-35

  37. 3-35

  38. 5 cm 20 cm n ft. 60 ft. = = 60  5 20  n 300 = 20n n = 15

  39. 3-36 AC AB DF DE =

  40. 9/25/13 Wed

  41. Ant-Man is 4 inches tall, and his shoulders are 2.5 inches wide. After taking a Pym Particle, he has grown to 28 inches tall. 1) How wide are his shoulders when he grows to 28 inches tall? _______________ 2) What is the zoom (scale) factor of the Pym Particle he took? A) 2.5 B) 4 C) 7 D) 28

  42. 4 28 2.5 w = = 28  2.5 4 w 70 = 4w 17.5 n =

  43. The following diagram shows a dilation. How can we solve for x? 10 x 12 18

  44. The following diagram shows a dilation. How can we solve for x? 10 x 12 18

  45. SmallHypotenuseBase Large Hypotenuse Base = GIPR GH PQ =

  46. 3-37

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