Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)

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Presentation transcript:

Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)

Definition A ratio table is a tool used to organize equivalent ratios.

Example A You can walk 6 miles in 2 hours 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.

Example A - ratio of 2 hours: 6 miles Time in Hours Distance in Miles

Example B Juan can read 9 pages in his book in 10 minutes. Make a table of equivalent ratios to find how many pages he can read in 20 minutes, 30 minutes, 40 minutes, 50 minutes, and 60 minutes.

Example B – ratio 9 pages: 10 minutes Number of Pages Time (in minutes)

Using Ratio Tables (Part 2: Creating equivalent ratios by multiplying)

A party planner said that 3 pizzas will serve about 7 people. Example A party planner said that 3 pizzas will serve about 7 people. How many pizzas are needed for 350 people?

Strategy #1 # of Pizzas # of People 3 7

Strategy #1 # of Pizzas # of People 3 7 300 700 × 100 × 100

# of Pizzas # of People 3 7 300 700 150 350 Strategy #1 × 100 × 100 ÷ 2 ÷ 2

Solution! # of Pizzas # of People 3 7 300 700 150 350 Strategy #1 × 100 × 100 ÷ 2 ÷ 2 Solution!

Strategy #2 # of Pizzas # of People 3 7

Strategy #2 # of Pizzas # of People 3 7 15 35 × 5 × 5

# of Pizzas # of People 3 7 15 35 150 350 Strategy #2 × 5 × 5 × 10

Solution! # of Pizzas # of People 3 7 15 35 150 350 Strategy #2 × 5 × 10 × 10 Solution!

Now it’s your turn. Use a ratio table to solve each problem 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?

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?

Example #3: James can send 12 text messages in 8 minutes 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?

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?

Example #5: In a class, the ratio of boys to girls is 3 to 4 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?