1. MA.912.G.2.2 MA.912.G.3.4

2. MA.912.G.2.2 MA.912.G.3.4

3. 8.1 Ratio and Proportion

4. The perimeter of a rectangle ABCD is 60 centimeters. The ratio of AB : BC is 3:2. Find the length and width of the rectangle.

5. 8.1 Ratio and Proportion The perimeter of a rectangle ABCD is 60 centimeters. The ratio of AB : BC is 3:2. Find the length and width of the rectangle. Solution: Because the ratio of AB : BC is 3:2, you can represent the length AB as 3x and the width BC as 2x. 2l + 2w = P (formula for perimeter) 2(3x) + 2(2x) = 60 6x +4x = 60 10x = 60 X = 6 So, ABCD has a length of 18 centimeters and a width of 12 centimeters.

6. 8.1 Ratio and Proportion

9. Homework: Page 461 10-16, 26-28, 34-46 even

10. Steps to the activity Open your package of M & Ms Sort all your colored M & Ms Count each color separately and record the amount on your piece of paper Count the TOTAL number of M & Ms and record that amount

11. Let’s Begin Write the answer to all the ratios as a fraction, using a colon, and the word to. Example: What is the ratio of blue M & Ms to red M & Ms (In my bag: blue= 4 And red= 8) 4/8 = ½, 1:2 or 4:8, 1 to 2 or 4 to 8

12. Now answer the following: yellow What is the ratio of green M & Ms to yellow M & Ms What is the ratio of blue M & Ms to Red M & Ms What is the ratio of brown M & Ms to the total number of M & Ms

13. Ready for some more? What is the ratio of green and red M & Ms to the total of M & Ms yellow Record the ratio of blue M & Ms to the total number of yellow and orange M & Ms Record your favorite color of M & Ms to the total number of M & Ms (You must write down your favorite color)

14. Need just a little more practice. yellow Record the ratio of orange M & Ms to green and yellow M & Ms What is the ratio of your least favorite M & Ms to the total M & Ms My favorite color is green. What is the ratio of my favorite color & your favorite color of M & Ms to the total number of M & Ms

15. Are you getting hungry? Create a table showing your color of M & Ms and the amounts

16. You are almost finished! Please put your name on your paper Now you may eat your M & Ms!!!!! I hope you had fun with ratios

17. MA.912.G.3.4

18. 8.3 Similar Polygons Similar Polygons – the correspondence between two polygons such that their corresponding angles are congruent and the lengths of corresponding sides are proportional. Scale Factor – the ratio of the lengths of two corresponding sides of similar polygons.

19. 8.3 Similar Polygons

20. Homework: Page 476 8-42 even

21. MA.912.G.3.4

22. 8.4 Similar Triangles Postulate 22 Angle – Angle Similarity Postulate If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. If JKL = XYZ and KJL = YXZ, then JKL ~ XYZ

23. 8.4 Similar Triangles Homework: Page 484 18-26, 34-46 even

24. MA.912.G.3.4

25. 8.5 Proving Triangles are Similar

27. Homework: Page 492 6-26 even

28. MA.912.G.3.4

29. 8.6 Proportions and Similar Triangles

33. Homework: Page 502 12-30 even

34. End of Chapter Review Homework: Page 519 1-18