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Unit Rate Review

From Ratios to Rates. Unit Rate Review. Essential Question:. How are ratio, rate and unit rate related to each other?. Introduction to Rates & Unit Rates. Pepsi was on sale last week: It cost $10 for every 4 packs of Pepsi. How much do 2 packs of Pepsi cost? 2 packs of Pepsi cost $5.00.

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Unit Rate Review

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  1. From Ratios to Rates Unit Rate Review

  2. Essential Question: How are ratio, rate and unit rate related to each other?

  3. Introduction to Rates & Unit Rates Pepsi was on sale last week: It cost $10 for every 4 packs of Pepsi. How much do 2 packs of Pepsi cost? 2 packs of Pepsi cost $5.00

  4. Introduction to Rates & Unit Rates Pepsi was on sale last week: It cost $10 for every 4 packs of Pepsi. How much does 1 pack of Pepsi cost? 1 pack of Pepsi cost $2.50

  5. Rate and Unit Rate Terminology • Rate - $10 for every 4 packs of Pepsi is a rate • Unit Rate – The unit rate is 2.5 because it is the value of the ratio • Rate Unit(Label) – The rate unit is dollars/packs of Pepsi because it costs 2.5 dollars for every 1 pack of Pepsi

  6. Ratio – Unit Rate – Rate Model

  7. Key Vocabulary • A ratio is a comparison of two quantities by division. • 17 out of 20 students, or • A rate is a special type of ratio comparing two quantities with different units. • Driving 120 miles in 2 hours, or • A unit rate is a rate that is simplified so that it has a denominator of 1 unit. • Driving 120 miles in 2 hours, or

  8. Example 1: Andy biked 24 miles in 4 hours. If he traveled at a constant speed, how many miles did he ride in 1 hour? Write a verbal model of what you are comparing. Substitute in the values given for each quantity. Since a unit rate has a denominator of 1 unit, divide the numerator and denominator by 4. Andy biked 6 miles per hour.

  9. Example 2: A 12-pack of Gatorade costs $13.44. What is the unit price per bottle? Write a verbal model of what you are comparing. Substitute in the values given for each quantity. Divide the numerator and denominator by 12 to find the unit rate. The unit price is $1.12 per bottle.

  10. Example 3: The price of three different bags of cat food are shown in the table to the right. Which bag has the lowest price per pound? Write a verbal model of what you are comparing. For the 3.5 lb bag, For the 7 lb bag, For the 20 lb bag, The 7 pound bag is the least expensive at $1.35 per pound

  11. Example 4: After 3.5 hours, Peyton had traveled 161miles. If she travels at a constant speed, how far will she have traveled in 4 hours? Write a verbal model of what you are comparing. Find the unit rate in miles per hour. Multiply the unit rate, or average speed, by the number of hours traveled. Peyton travels 184 miles in 4 hours.

  12. Example 5: Jerry can jog 1⅓ miles in ¼ hour. Find his average speed in miles per hour. Write a verbal model of what you are comparing. Substitute in the values given for each quantity. Since average speed in miles per 1 hour, divide the numerator and denominator by ¼ . Jerry jogs at an average speed of 5 ⅓ miles per hour.

  13. Example 6: Mr. Isaacs is spreading mulch in his yard. He spreads 4⅔ square yards in 2 hours. How many square yards can he mulch in 1 hour? Write a verbal model of what you are comparing. Substitute in the values given for each quantity. Divide the numerator and denominator by 2 to find the unit rate. Mr. Isaacs can mulch 2 ⅓ square yards per hour.

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