1. 5-Minute check

2. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions. Why? So you can estimate bird populations, as seen in Ex 62. Mastery is 80% or better on 5-minute checks and practice problems.

3. Computing Ratios If A and B are two quantities that are measured in the same units, then the ratio of A to B is A/B. The ratio of A to B can also be written as A:B Because a ratio is a quotient, its denominator cannot be zero. Ratios are usually expressed in simplified form. For instance, the ratio of 6:8 is usually simplified to 3:4. (You divided by 2)

4. Ex. 1: Simplifying Ratios

5. Pair Share- Simplifying Ratios

6. Ex. 2 – use a ratio to find a deminsion

7. Ex. 2 - cont

8. Ex. 3 - Using extended Ratios

9. Ex. 2-3: Pair Share

10. Ex. 4 - solve proportions

11. Ex. 4 - continued

12. Part 1 HW Slide #12 360 1-10 all

13. Pair Share --

14. Ex. 5 – solving real world problems

15. Ex. 5 - Cont

16. Using Proportions An equation that equates two ratios is called a proportion. For instance, if the ratio of a/b is equal to the ratio c/d; then the following proportion can be written:  = MeansExtremes The numbers a and d are the extremes of the proportions. The numbers b and c are the means of the proportion.

17. Ex. 6 - Find Geometric Means

18. Examples 5-6

19. Guided practice

20. Exit slips What was todays objective(s)? Students will analyze and solve problems by writing and solving proportions. Why? So you can estimate bird populations, as seen in Ex 62. Mastery is 80% or better on 5-minute checks and practice problems.

21. Homework Page 360-362 #12-58 even