1 / 14

Power Point shared with permission from

Power Point shared with permission from. Ms. Gallacher James Workman Middle School of Technology and the Arts A note from Ms. Gallacher:. California Standards.

wylie-holcomb
Download Presentation

Power Point shared with permission from

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. Power Point shared with permission from Ms. Gallacher James Workman Middle School of Technology and the Arts A note from Ms. Gallacher:

  2. California Standards MG1.3 Use measures expressed as rates (e.g., speed, density) and measures expressed as products (e.g., person-days) to solve problems; check the units of the solutions; and use dimensional analysis to check the reasonableness of the answer. Unit 9: Rates Objective: Finding Unit Rates Finding Unit Prices to Compare Costs

  3. Notes A rate is a comparison of two quantities measured in different units. 90 3 Ratio: Read as “90 miles per 3 hours.” 90 miles 3 hours Rate:

  4. 90 3 The ratio can be simplified by dividing: Notes Unit rates are rates in which the second quantity is 1. 90 3 30 1 = 30 miles, 1 hour unit rate: or 30 mi/h

  5. Rate Movie

  6. Check It Out! Example 1 Penelope can type 90 words in 2 minutes. How many words can she type in 1 minute? 90 words 2 minutes Write a rate. Divide to find words per minute. 90 words ÷ 2 2 minutes ÷ 2 45 words 1 minute = Penelope can type 45 words in one minute.

  7. 455 students 91 computers 468 students 91 computers  5 students 1 computer  Example 2: Estimating Unit Rates Estimate each unit rate. 468 students to 91 computers Choose a number close to 468 that is divisible by 91. Divide to find students per computer. 468 students to 91 computers is approximately 5 students per computer.

  8. 595 players 85 soccer balls 583 players 85 soccer balls  7 players 1 soccer ball  Check It Out! Example 3 Estimate each unit rate. 583 soccer players to 85 soccer balls. Choose a number close to 583 that is divisible by 85. Divide to find players per soccer ball. 583 soccer players to 85 soccer balls is approximately 7 players per soccer ball.

  9. Practice • Estimate each unit rate • 121 students in 3 buses • $31.50 for 4 hours

  10. Unit price is a unit rate used to compare price per item.

  11. Example 5: Finding Unit Prices to Compare Costs Pens can be purchased in a 5-pack for $1.95 or a 15-pack for $6.20. Which pack has the lower unit price? Divide the price by the number of pens. price for package number of pens $1.95 5 = = $0.39 price for package number of pens $6.20 15 =  $0.41 The 5-pack for $1.95 has the lower unit price.

  12. price for bottle number of ounces price for bottle number of ounces Check It Out! Example 6 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? Divide the price by the number of ounces. $2.19 24 =  $0.09 $3.79 36 =  $0.11 The 24 oz jar for $2.19 has the lower unit price.

  13. Lesson Quiz: Part I 1. Meka can make 6 bracelets per half hour. How many bracelets can she make per hour? 2. Sam counted 157 blue jays in the park. There are 5 bird feeders in the park. Approximately how many birds are there for each bird feeder? Estimate each unit rate. 3. $2.22 for 6 stamps 4. 8 heartbeats in 6 seconds 12 ≈ 150/5 ≈ 30 birds per bird feeder $0.37 per stamp 1.3 beats/s

  14. Lesson Quiz: Part II Find each unit price. Then tell which has the lower unit price. 5. A half dozen carnations for $4.75 or a dozen for $9.24 6. 4 pens for $5.16 or a ten-pack for $12.90. a dozen They cost the same.

More Related