1. Ratios and Unit Rate Reminder By: Mr. Menjivar

2. Ratios and Unit Rates Reminder R L 03/31/11 Ratios and Unit Rate Reminder Reflection 03/31/11 Observe, Question, Comment Standard:

3. Standard  AF 2.2: Demonstrate an understanding that rate is a measure of one quantity per unit value of another quantity.

4. Ratios and Unit Rates Reminder R L 03/31/11 Ratios and Unit Rate Reminder Reflection 03/31/11 Observe, Question, Comment Standard: Objective:

5. Objective  Review the meaning of equivalent rates, the meaning of a unit rate, and give examples

6. Ratios and Unit Rates Reminder R L 03/31/11 Ratios and Unit Rate Reminder Reflection 03/31/11 Observe, Question, Comment Standard: Objective: Vocabulary:

7. Vocabulary  A ratio is a comparison between two numbers by division.  It can be written in three different ways: 5 to 2 5 : 2 5 2

8. Vocabulary  A rate is a ratio that compares two quantities measured in different units.  The unit rate is the rate for one unit of a given quantity. Unit rates have a denominator of 1.

9. Ratios and Unit Rates Reminder R L 03/31/11 Ratios and Unit Rate Reminder Reflection 03/31/11 Observe, Question, Comment Standard: Objective: Vocabulary: Notes/Example:

10. Equal Ratios  When two ratios name the same number, they are equal. It’s like writing an equivalent fraction. 20 : 30 Equal Ratios: 10 : 15 2 : 3 80 : 120

11. Ratios in Simplest Form  Ratios can be written in simplest form.  Divide both terms in the ratio by their GCF. Example: 12 to 8 3 to 2

12. Using Unit Rates  You can find the missing terms of equal ratios.  Use the unit rate, and set it equal to another ratio.  Solve for what is missing by dividing or multiplying.

13. Examples Rate: 150 heartbeats 2 minutes Unit Rate: 75 heartbeats per minute

14. Find the Unit Rate Amy can read 88 pages in 4 hours. What is the unit rate? (How many pages can she read per hour?) 88 pages 4 hours 22 pages / hour

15. Example Joe’s car goes 25 miles per gallon of gasoline. How far can it go on 8 gallons of gasoline? 25 miles 1 gallon Unit Rate = 8 gallons x 8 25 x 8 = 200. Joe’s car can go 200 miles on 8 gallons of gas.

16. Comparing Unit Prices  Use division to find the unit prices of the two products in question.  The unit rate that is smaller (costs less) is the better value.

17. Example Juice is sold in two different sizes. A 48-fluid ounce bottle costs $2.07. A 32-fluid ounce bottle costs $1.64. Which is the better buy? $2.07 48 fl.oz. 0.043125 $0.04 per fl.oz. $1.64 32 fl.oz. 0.05125 $0.05 per fl.oz. The 48 fl.oz. bottle is the better value.

18. Ratios and Unit Rates Reminder R L 03/31/11 Ratios and Unit Rate Reminder Reflection 03/31/11 Observe, Question, Comment Standard: Objective: Vocabulary: Notes/Example: Summarize: