1 / 17

Write Proportions

Write Proportions. Sue needs 9 cups of flour to make 16 batches of cookies. How much flour does she need if she only wants to make a fourth of her recipe. EX 5). Determine Ratios. X. cups. 9. Cups. =. Set up proportion. X. batches. 4. batches. 16. Cross Multiply. Divide.

simeon
Download Presentation

Write Proportions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Write Proportions

  2. Sue needs 9 cups of flour to make 16 batches of cookies. How much flour does she need if she only wants to make a fourth of her recipe. EX 5) Determine Ratios. X cups 9 Cups = Set up proportion. X batches 4 batches 16 Cross Multiply. Divide 9 X 4 = 36 = 4 1 2 2 36 ÷ 16 = Cups 16 4

  3. Density – is a comparison of how much mass is in a unit of volume. Written – mass / unit volume Ralph has a paper clip with a mass of 9g and a volume of 3cm3. What is the density? EX 6) Determine Ratios. X Mass 9 g mass = 1 Volume cm3 3 cm 3 Set up proportion. Cross Multiply. Divide 9 X 1 = 9 Density = 3g/cm3 9 ÷ 3 = 3

  4. A 12 oz sport drink cost $1.08 and a 16 oz. sport drink cost $1.28. Which drink is the better buy? EX. 7) 1 oz 12 oz = Step 1: highlight rates X 1.08 Since you are comparing you will set up two proportions $ $ Solve Step 2: set up proportion Step 3: Cross multiply and divide 1 16 oz oz = 1.28 X $ $ Solve

  5. 0 . 0 9 $1.08 X 1 = 1.08 1.08 ÷ 12 12 12 oz drink that cost $1.08 is $0.09 / oz Back 0 . 0 8 $1.28 X 1 = 1.28 1.28 ÷ 16 16 16 oz drink that cost $1.28 is $0.08 / oz The better buy is the cheaper drink The 16 oz is the better buy

  6. Try this on your own A car travels 480 miles in 8 hours and uses 16 gallons of gas. What is the average speed? ( miles per hour) What is the average gas mileage? ( miles per gallon)

  7. Notes start here

  8. Solve Proportions

  9. 3 5 1 2 2 4 5 7 = = CROSS PRODUCT RULE a b c d In the proportion = , the cross products, a · d and b · c are equal. uses EX 1) 1. 2. 3. EX 2) EX 3)

  10. 9 15 m 5 = You can use the cross product rule to solve proportions with variables. Which help you find missing values. EX 4) 1. 2. = 3. = This is called the extreme and means ratio. =

  11. Unit rate : a rate whose denominator is 1. It may not always look like a number; watch for words like per or each. miles / 4 hours EX 5) 200 Step 1: How many miles traveled per hour? Step 2: = Step 3:

  12. miles EX 6) 160 / 5 gallons How many miles per gallon? =

  13. EX 7) Convert 5,000 pounds to tons. pounds tons 1: Set up = • 2: _____ Proportion • C • D = = EX 8) Convert 24 pints to cups. cups pints = = =

  14. Sue needs 9 cups of flour to make 16 batches of cookies. How much flour does she need if she only wants to make a fourth of her recipe. EX 9) =

  15. Density – is a comparison of how much mass is in a unit of volume. Written – mass / unit volume EX 10) Ralph has a paper clip with a mass of 9g and a volume of 3cm3. What is the density? =

  16. A 12 oz sport drink cost $1.08 and a 16 oz. sport drink cost $1.28. Which drink is the better buy? EX 11) = =

  17. Try this on your own A car travels 480 miles in 8 hours and uses 16 gallons of gas. What is the average speed? ( miles per hour) What is the average gas mileage? ( miles per gallon)

More Related