1. Warm Up Write each fraction in lowest terms. 14 16 1. 9 72 3. 24 64 2. 45 120 4. 7878 3838 1818 3838

2. Ratios and Rates Section 5.1 & 5.2

3. Objectives: Solve problems involving average speed, distance, and time. (AF 4.2) Choose an appropriate unit measure and use ratios to convert within and between measurement systems. (MG 1.0) Compare measures within and between measurement items (MG 1.1)

4. Words to know ~ Ratio – a comparison of a number “a” and a nonzero number “b” using division. Example – 12 games to 7 games ; 12 to 7; 12:7 Rate – a type of ratio that compares two quantities that have different kinds of units of measure. Example – 100 miles in 2 hours - 6 pencils for $1.40- 6 pencils for $1.40

5. Writing a Ratio Voting – Barack Obama won 333 electoral votes while John McCain won 156. What’s the ratio of Obama’s votes to McCain’s votes? Ratio – Obama votes = McCain votes Ratio can be written also as 111:52, or “111 to 52”

6. Rewriting with the same units A map shows the distance between the classroom and the bathroom as 16 inches. In reality, the distance is 4 yards. MUST CONVERT TO THE SAME UNIT OF MEASURE!!!

7. Finding a Rate You and your family drove 400 miles in 8 hours. What was the average rate of speed? Reduce the numbers.

8. Summary: Ratio is …. Rate is ….

9. Finding a Unit Rate A 6 pack of soda costs $1.60. A 12 pack of soda costs $ 3.00. Which is the better buy?

10. Finding a Unit Rate Golf balls can be purchased in a 3-pack for $4.95 or a 12-pack for $18.95. Which pack has the lower unit price? price for package number of balls  $4.95 3 =$1.65 price for package number of balls = $18.95 12  $1.58 The 12-pack for $18.95 has the lower unit price.

11. Finding a Unit Rate John can buy a 24 oz bottle of ketchup for $2.19 or a 36 oz bottle for $3.79. Which bottle has the lower unit price? $2.19 24 $0.09 $3.79 36 $0.11 The 24 oz jar for $2.19 has the lower unit price. price for bottle number of ounces price for bottle number of ounces  = = 

12. Practice Identify if the problems are rates or ratios.

13. Practice Write each fraction in simplest terms.

14. Practice Which is the better buy? 12 pencils for $0.60 21 pencils for $0.84

15. Summary Remember that a ratio is a comparison of two numbers. Example = number of A’s compared to the number of B’s Remember that a rate is a type of ratio that compares two quantities that have different kinds of units of measure. Example = 2 pairs of pants for $25. (comparing the number of pants to the dollar amount.)

16. Lesson Quiz Write each ratio in simplest form. 1. 22 tigers to 44 lions 2. 5 feet to 14 inches 1212 30 7 3. Meka can make 6 bracelets per half hour. How many bracelets can she make per hour? 12 Estimate each unit rate. 4. $2.22 for 6 stamps 5. 8 heartbeats in 6 seconds $0.37 per stamp  1.3 beats/s Find each unit price. Then tell which has the lower unit price. 6. A half dozen carnations for $4.75 or a dozen for $9.24 7. 4 pens for $5.16 or a ten-pack for $12.90. a dozen They cost the same.

17. Activity Using the grocery store flyers (with a partner), create 3 rates and 3 ratios. Exchange them with another team. Solve the other team’s rates and ratios.