{ 8-1: Ratios and Equivalent Ratios IWBAT read and write ratios and equivalent ratios.
Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)
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Transcript of Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)
![Page 1: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/1.jpg)
Using Ratio Tables(Part 1: Creating equivalent ratios by adding on)
![Page 2: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/2.jpg)
Definition
A ratio table is a tool used to organize equivalent ratios.
![Page 3: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/3.jpg)
Example A
You can walk 6 miles in 2 hours. Make a table of equivalent ratios to show how far you can walk in 4 hours, 6 hours, 8 hours, and 10 hours.
![Page 4: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/4.jpg)
Example A - ratio of 2 hours: 6 miles
Time in Hours
Distance in Miles
![Page 5: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/5.jpg)
Example BJuan can read 9 pages in hisbook in 10 minutes. Make atable of equivalent ratiosto find how many pages hecan read in 20 minutes,
30 minutes, 40 minutes, 50 minutes, and 60 minutes.
![Page 6: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/6.jpg)
Example B – ratio 9 pages: 10 minutes
Number of Pages
Time (in minutes)
![Page 7: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/7.jpg)
Using Ratio Tables(Part 2: Creating equivalent ratios by multiplying)
![Page 8: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/8.jpg)
A party planner said that 3 pizzas will serve about 7 people.
How many pizzas are needed for 350 people?
Example
![Page 9: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/9.jpg)
# of Pizzas
# of People
3 7
Strategy #1
![Page 10: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/10.jpg)
# of Pizzas
# of People
3 7300 700
× 100
Strategy #1
× 100
![Page 11: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/11.jpg)
# of Pizzas
# of People
3 7300 700150 350
× 100
÷ 2 ÷ 2
Strategy #1
× 100
![Page 12: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/12.jpg)
# of Pizzas
# of People
3 7300 700150 350
× 100
÷ 2
Solution!
Strategy #1
÷ 2
× 100
![Page 13: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/13.jpg)
# of Pizzas
# of People
3 7
Strategy #2
![Page 14: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/14.jpg)
# of Pizzas
# of People
3 715 35
× 5× 5
Strategy #2
![Page 15: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/15.jpg)
# of Pizzas
# of People
3 715 35
150 350
× 5
× 10
Strategy #2
× 5
× 10
![Page 16: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/16.jpg)
# of Pizzas
# of People
3 715 35
150 350
× 5
× 10
Solution!
Strategy #2
× 5
× 10
![Page 17: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/17.jpg)
Now it’s your turn! Use a ratio table to solve each problem.Example #1:
Six wheel rotations on a bike takes you 10 yards. How many wheel rotations will it take to go 45 yards?
![Page 18: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/18.jpg)
Example #2:In a bag of blue and yellow candies, the ratio of blue candies to yellow candies is 3:5. If the bag contains 60 yellow candies, how many blue candies are there?
![Page 19: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/19.jpg)
Example #3:
James can send 12 text messages in 8 minutes. At this same rate, how long will it take James to send 75 text messages?
![Page 20: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/20.jpg)
Example #4:
At a local college, 2 out of every 8 seniors live in apartments. About how many of the 28 seniors are likely to live in apartments?
![Page 21: Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)](https://reader033.fdocuments.us/reader033/viewer/2022050915/5a4d1b547f8b9ab0599a8bcd/html5/thumbnails/21.jpg)
Example #5:
In a class, the ratio of boys to girls is 3 to 4. If there are 12 boys in the class, then how many girls are there?