1. An in Depth Look at Ratios and Proportions and Their Applications

2. are the comparison of two or more numbers.

3. Which ratio shows the ratio of 2 fish to 3 bear? A B C D E

4. Which ratio shows the ratio of 1 soccer ball to 3 basketball? A B C D E

5. Which ratio shows the ratio of 3 butterflies to 1 apple? A B C D E

6. Three Ways to Write a Ratio The ratio of 3 boys to 5 girls can be written as: a) 3 to 5 b) 3: 5 c)

7. Equal ratios are like equivalent fractions. They name the same quantity.

8. Examples of Equal Ratios :

9. Two equal ratios form a proportion.

10. In a proportion the product of the means is equal to product of the extremes.

11. 3 : 5 = 6 : 10 Extremes Means

12. Extremes 6 x 5 = 3 x 10 30 = 30

13. Determine if the following are proportions. 1) 2)

14. 3 x 60 = 5 x 36 180 = 180 Yes, it is a proportion. 4 x 15 = 8 x 8 6064 No, it is not a proportion.

15. Corresponding sides of Similar Triangles have the same ratio. Corresponding Angles of Similar Triangles have congruent angles

16. A is similar to D Triangle A Triangle D

19. A B C D E F <A  <D<C  <F <B  <E

20. C A B D FE 4 3 x 6 y Use a proportion to find x and y. 5

22. A unit rate identifies how much one item or quantity is worth. If Gatorade is on sale 2 for $3.00, How much does 1 cost?

23. Another type of special ratio is a constant ratio or rate. Distance = rate x time is an example of a constant ratio.

24. Time1234 Distance60120180240