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Vocabulary• A ratio is a comparison of two quantities by
division.
One out of five pairs of shoes are flip fops.
- Can be written 1 to 5, 1:5, or
- No units or the same units
- Answer typically written in simplest form.
5
1
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Example 1:For lunch during the summer recreation
program, the Youth Center orders 8 pepperoni pizzas out of every 10 pizzas that they order. What is the ratio of pepperoni pizzas to the total number purchased?
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Example 2:Last year, Andy’s hockey team had a record of 48
wins out of 64 games played. What was the ratio of wins to games played?
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Vocabulary• A rate is a special type of ratio comparing two
quantities with different kinds of units.– Traveling 180 miles on 9 gallons of gas– $8.00 for 2 pounds of roast beef– A verbal model can help us write rates.
• A unit rate is a rate that is simplified so that it has a denominator of 1 unit. – A unit rate compares a quantity to 1 unit of another
quantity.– The speed limit on I-86 is 65 miles per hour.– NYS minimum wage is currently $7.25 per hour
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Example 3:On his trip to Pittsburgh, Alex drove
161 miles on 7 gallons of gas. What was his gas mileage on the trip in miles per gallon?
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Example 4:Lola is painting her room. If ½ gallon of
paint covers ⅙ of her walls, how much paint does she need for her entire room?
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Example 5:
Each morning, it takes Mike 10 minutes to walk ⅓ of a mile to school. What is his average rate of speed in miles per hour?
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Example 6:During the holidays, Emily spends $12.50 for 2 pounds of
fudge and $23.85 for 5 pounds of wrapped candy. Which item costs less per pound? By how much?
Sometimes, we are asked to compare unit rates…..