1. Do Now 1/3/12 Copy HW in your planner. Copy HW in your planner.  Text p.152, #6-24 evens, 27, 31, & 32 Be ready to copy POTW #5 Be ready to copy POTW #5

2. Chapter 4 “Proportional Relationships” Section 4.1 “Rates” Section 4.2 “Identifying and Writing Proportions” Section 4.3 “Solving Proportions” Section 4.4 “Similar Figures and Proportions” Section 4.5 “Using Similar Figures” Section 4.6 “Scale Drawings and Scale Models”

3. Objective SWBAT find rates SWBAT find rates

4. RATIO- uses division to compare two quantities of the SAME MEASURE. a to b a:b ab You can write ratios three different ways: Section 4.1 “Rates”

5. Ratios What is the ratio of:  Blue to total  Yellow to green  Green to red  Red to blue 1/17 6/7 7/3 3/1

6. Try It Out… SOLUTION VOLLEYBALL A volleyball team plays 14 home matches and 10 away matches. a. Find the ratio of home matches to away matches. = 75 a. home matches away matches 14 10 10 = b. Find the ratio of home matches to all matches. b. home matches all matches all matches 14 14 14 + 10 14 + 10 = = 14 1424 = 712

7. 5 ft 9 ft Find the ratio of the height to the width. Find the ratio of the width to the height. Are the ratios the same? NO!!

8. a ratio that compares two quantities measured in different units. Examples of rates: speed & distance, wages 45miles hour hour 5 meters second second 8 dollars hour hour“Rates”RATE-

9. a rate whose denominator is when it is written as a fraction. 90miles 2 hours 2 hours 45 miles 1 hour 1 hour UNIT RATE- 1 = UNIT RATE ÷ 2 =

10. Finding a Unit Rate A car travels 110 miles in 2 hours. Find the unit rate. 110 miles 110 miles 2 hours 2 hours = 1 hour 55 miles 2 hours 2 110 miles 2 110 miles 2 =

11. Finding a Unit Rate During exercise, Sonia’s heart beats 675 times in 5 minutes. How many times does it beat per minute? 675 beats 675 beats 5 minutes 5 minutes = 1 minutes 135 beats 5 minutes 5 675 beats 5 675 beats 5 =

12. Finding a Unit Rate Arnold and Jena went mountain biking on some trails Arnold and Jena went mountain biking on some trails in their town. Based on the information below, which one of them rode at a faster pace? 23 miles 23 miles 4 hours 4 hours = 1 hour 5.75 miles 4 hours 4 23 miles 4 23 miles 4 = Arnold rode 23 miles in 4 hours. Jena rode 16 miles in 3.5 hours. 16 miles 16 miles ÷ 3.5 4.6 miles 3.5 hours 3.5 hours ÷ 3.5 1 hour Arnold Jena

13. STEP 1 Calculate the unit rate. 153.75= 0.25 0.25 1 = $.25 per minute Write a verbal model and then an expression. Let m be the number of extra minutes. STEP 2 30 + 0.25 m Evaluate the expression when m = 22. 30 + 0.25(22) = 35.5 STEP 3 Total Bill: $35.50 Your basic monthly charge for cell phone service is $30, which includes 300 free minutes. You pay a fee for each extra minute you use. One month you paid $3.75 for 15 extra minutes. Find your total bill if you use 22 extra minutes.

14. “Rate or Ratio?” Rate R Ratio

15. Homework Text p.152, #6-24 evens, 27, 31, & 32