1. 8.1 Ratio and Proportion Learner Target: I will recognize and manipulate ratios and proportions, calculate geometric means, and apply the product and ratio theorems.

2. Definition: A ratio is a comparison of two numbers, generally expressed as a quotient in lowest terms. 5:35 to 3

3. Learner Target: I will recognize and manipulate ratios and proportions, calculate geometric means, and apply the product and ratio theorems. Slope =

4. Learner Target: I will recognize and manipulate ratios and proportions, calculate geometric means, and apply the product and ratio theorems. AD : AB = DC : BC = AB : DC = Perimeter ABCD : AD =

5. Learner Target: I will recognize and manipulate ratios and proportions, calculate geometric means, and apply the product and ratio theorems. Definition: A proportion is an equation stating that two or more ratios are equal. 5:15 = 15:45

6. Learner Target: I will recognize and manipulate ratios and proportions, calculate geometric means, and apply the product and ratio theorems. a:b = c:d First and fourth terms are called EXTREMES. Second and third terms are called MEANS.

7. Learner Target: I will recognize and manipulate ratios and proportions, calculate geometric means, and apply the product and ratio theorems. Means - Extremes Products Theorem In a proportion, the product of the means is equal to the product of the extremes. If, then ad=bc.

9. Learner Target: I will recognize and manipulate ratios and proportions, calculate geometric means, and apply the product and ratio theorems. Definition: The mean of a group of numbers is the average. The one you are most familiar with is the arithmetic mean.

10. Learner Target: I will recognize and manipulate ratios and proportions, calculate geometric means, and apply the product and ratio theorems. Definition: If the means in a proportion are equal, either mean is called a geometric mean, or mean proportional, between the extremes.

11. Learner Target: I will recognize and manipulate ratios and proportions, calculate geometric means, and apply the product and ratio theorems. Johnny received a 78 and a 91 on his first two algebra tests. What’s Johnny’s average? Find the geometric mean between 2 and 18. 15 is the mean proportional between 5 and what number?

12. Learner Target: I will recognize and manipulate ratios and proportions, calculate geometric means, and apply the product and ratio theorems.