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Thursday, December 1 st

Thursday, December 1 st. Warm Up. Write a rule for each sequence using “n” 15, 24, 33, 22 -11, -15, -19, -24. Please Complete warm up and take out homework (worksheet) Did you write down the homework?. Did you know?!?!?. For most people, the ratio of the

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Thursday, December 1 st

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  1. Thursday, December 1st Warm Up Write a rule for each sequence using “n” 15, 24, 33, 22 -11, -15, -19, -24 Please Complete warm up and take out homework (worksheet) Did you write down the homework?

  2. Did you know?!?!? For most people, the ratio of the length of their head to their total height is 1:7. Use proportions to test your measurements and see if they match this ratio.

  3. Corny Joke of the Day How did the hammerhead shark do on his quiz? He Nailed it!

  4. Attention! Next Checkpoint is FRIDAY

  5. Homework Answers

  6. Equivalent Ratios

  7. Equivalent ratios • are ratios that name the same comparison. • You can find an equivalent ratio by multiplying or dividing both terms of a ratio by the same number.

  8. Can you make two equivalent ratios?!?! 1. 4. 2. 5. 5 to 9 3. 6 : 12

  9. Jumping Jacks

  10. Rates

  11. What is Rate? RATE: compares two quantities that have different units of measure

  12. What is Rate? For example: Abbey charges $28 dollars for 3 hours of swimming lessons. David charges $18 dollars for 2 hours of swimming lessons. Which instructor offers a better deal?

  13. How do we find it? Divide! Set up your Rate Abbey: charges $28 dollars for 3 hours of swimming lessons. Rate= = = 9.33

  14. Find David Who had a better deal? Set up your Rate David: charges _______dollars for _______ hours of swimming lessons. Rate= = =__________

  15. You Try! An 8-ounce bag ____________chips costs $1.68. A 4-ounce bag of __________chips costs $0.88. Which is the better deal?

  16. Example #2

  17. The new movie “Hunger Games” is expected to draw large crowds. Several cinemas have already started making package deals for movie tickets. In your groups determine which Theater has the best deal! Mall of Georgia Regal Cinema 5 tickets for $112 Hollywood 24 7 tickets for $135.60

  18. Proportions

  19. Can you finish the statement? • Basketball is to hoop as soccer ball to ____________. • pumpkin is to Halloween as fireworks are to ________________ • Fish is to water as bird is to _________

  20. These are all PROPORTIONS!

  21. 4 2 2 6 4 2 4 8 __ __ __ __ __ __ __ __ = = = 4 1 2 1 1 2 2 3 A proportion is an equation that shows two equivalent ratios. Reading Math Read the proportion = as “two is to one as four is to two.”

  22. = 3 9 9 2 4 3 14 2 __ __ __ __ __ __ __ ___ = = = 15 6 5 1 2 7 4 8 6 •3 = 9 • 2 7 •2 = 14 • 1 8 • 2 = 4 • 4 5 • 9 = 3 • 15 16= 16 18 = 18 14 = 14 45= 45 This is how you prove proportions!

  23. Question of the day How would you find the missing value to complete proportion

  24. Method #1 Criss Cross and algebra Cross Multiply and Divide

  25. Steps • Cross multiply • Set up equation • Use inverse operations to solve for missing variable

  26. 5 6n 90 n __ __ ___ ___ = 6 18 6 6 Criss-Cross and Solve! Find the missing value in the proportion. Find the cross products. 6 •n= The cross products are equal. 5 • 18 6n= 90 n is multiplied by 6. Divide both sides by 6 to undo the multiplication. = n = 15

  27. Cross Multiply And Divide!!!!

  28. Method #2 Use guess and check Caution: doesn’t work if the answer is a fraction!

  29. Soooooooooooo easyyyyyyyyyyy

  30. You Try #1

  31. You Try #2

  32. You Try #3

  33. You Try #4

  34. You Try #5

  35. Real World Application

  36. f f 1 tbsp 1 tbsp ____ _____ _____ ____ 4 gal 6 gal 6 gal 4 gal According to the label, 1 tablespoon of plant fertilizer should be used per 6 gallons of water. How many tablespoons of fertilizer would you use for 4 gallons of water? Let f be the amount of fertilizer for 4 gallons of water. = = Write a proportion. 6 •f= 1 • 4 The cross products are equal.

  37. 2 2 6f 4 __ __ __ ___ 3 6 6 3 Continued f is multiplied by 6. 6f= 4 Divide both sides by 6 to undo the multiplication. = Write your answer in simplest form. f = tbsp You would use tbsp of fertilizer for 4 gallons of water.

  38. tbsp tbsp gal gal ___ ___ ___ ___ tbsp tbsp gal gal Caution! In a proportion, the units must be in the same order in both ratios. = or =

  39. What did Rudolph do Wrong? Fives pounds of sugar cookies cost $20 dollars, but he only needs 3 pounds

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