1. { 8-1: Ratios and Equivalent Ratios IWBAT read and write ratios and equivalent ratios

2. Ratio Ratio – A comparison of two quantities 9 girls and 7 boys Three ways to write ratios:

3. Equivalent Ratios Two ratios that are equal to each other

4. Are the ratios equivalent? 5:8 _____ 15:24 1) Rewrite as in fraction form and make equal to each other 2) Cross-multiply (multiply diagonally) 120 = 120

5. Examples 108 = 108 3) 9 to 8 ____ 45 to 40 360 = 360

6. { 8-2 and 8-3: Proportions IWBAT solve proportions using equivalent ratios using Cross-Products (Cross-Multiplication)

7. Do these ratios make a proportion? Use the cross-multi plying method 60 = 60 Yes

8. Examples No 54 = 54 Yes 320 = 320 Yes

9. Find the missing number 1) Simplify vertically and/or horizontally, if possible 2) Cross-multiply

10. Examples 5) Three boxes of cereal cost $10.50. What does one box cost?

11. { 8-4: Too Much or Too Little Information IWBAT determine which information is missing and identify extraneous information in problems.

12. { 8-5: Rates IWBAT use rates to solve problems.

13.  Rate – A ratio that compares two quantities that have different units of measure  Unit Rate – A rate where the second quantity is a unit of one (denominator) Vocabulary

14. Find the Unit Rate You travel 99 miles in 90 minutes. What is your average rate of speed in miles per hour? 1) Write as a rate in fraction form 2) Divide 9.5 3) Rewrite as a phrase or as a fraction with labels 9.5 miles per minute

15. Examples 1) 90 miles in 75 minutes2) 252 miles every 9 gallons 3) 48 chairs for 6 tables4) 96 students in 3 classrooms 5) Respiration rate is the number of breaths you take per minute. You count 48 breaths in 3 minutes and your friend counted 34 breaths in 2 minutes. Who had the higher respiration rate?

16. { 8-6: Unit Price IWBAT find unit prices to determine the better buy.

17.  Unit Price – The cost per item  Similar to unit rate but money amount always is the numerator  Round to the nearest cent (hundredth), if necessary Vocabulary

18. Unit Price Find the unit price. Round to the nearest cent. $60.00 for 12 books 1) Write as a rate in fraction form with the price in the numerator 2) Divide$5 3) Rewrite as a phrase or as a fraction with labels $5 per book

19. Examples 1) $46.20 for 6 shirts2) $14.28 for 12 lb of turkey 3) $1.47 for 1.5 lb broccoli4) $0.60 for 12 oz of rolls

20. Which is the better buy? 12 bananas for $1.80 or 15 bananas for $2 1) Find the unit price for each item. 2) Compare. The better buy is the cheaper (lesser) amount. 15 bananas for $2 is the better buy.

21. Examples 1) 3 tacos for $3.50 or 4 tacos for $5.00 2) 12 books for $119.40 or 6 books for $53.34

22. { 8-7: Make a List IWBAT solve problems by making an organized list

23. { 8-8: Similar Figures IWBAT use proportions to solve problems involving similar figures

24.  Similar Figures – Figures that have the same shape but not necessarily the same size. Vocabulary

25. { 8-9: Scale Drawings IWBAT interpret scale drawings.

26.  Scale Drawing – a reduction or enlargement of an actual object.  Scale – a ratio that compares a measure on a drawing with the actual measure. Vocabulary

27. { 8-10: Using Maps IWBAT use map scales and proportions to find actual distances