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Unit Rates

Unit Rates. HS.N-Q.A.1. Learning Goal 2 (HS.N-Q.A.1, 2, 3): The student will be able to use units to solve multi-step contextual problems. The Tip….

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Unit Rates

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  1. Unit Rates HS.N-Q.A.1

  2. Learning Goal 2 (HS.N-Q.A.1, 2, 3): The student will be able to use units to solve multi-step contextual problems.

  3. The Tip… • Juan, Harry, Liam, Hans, and Tom are going out to lunch. Juan contributes 35 pesos, Liam contributes 9 Euros, Harry contributes 500 Indian Rupees, Hans contributes 18 Dutch Guilders, and Tom contributes $10. How much tip should they leave? • In order to solve this problem we need to have everyone dealing with the same units.

  4. Use Proportions to Change from One Unit of Measure to another. • A Dutch Guilder is worth about $0.57. • We could set up a proportion: • 1 guilder = 18 guilder $0.57 x dollars • This means that 18 Dutch Guilders is about $10.26.

  5. Unit Rate • When we stated that a Dutch Guilder is worth $0.57 per American Dollar, this was a unit rate. • Watch the following video to learn more about unit rates: • Video

  6. Unit Rate • A rate is a form of ratio in which the two terms are in different units. • A unit rate is a rate in which the rate is expressed as a quantity of 1. • This means the rate will have a dominator of 1. • For example: the speed limit is 15 miles per hour in a school zone (15 miles/1hour) • To convert to a unit rate you simply divide the first term by the second term.

  7. Calculate a unit rate • If a car travels 45 miles in 30 minutes, what is the rate at which the car is traveling? • If we express the rate in miles/hour, the rate would by 45/0.5miles per hour. • As a unit rate you would divide 45 by 0.5. This would be 90 miles per hour.

  8. Calculate a unit rate • If John bought 2.5 Kgs of rice for $7.50, then what is the unit price of rice? • The unit rate would be price per Kgs. • Divide $7.50 by 2.5Kgs. • This gives you $3/Kg.

  9. Which is the better price? • A fruit stand sells apples 12 for $3.00 and pears 10 for $2.60. • Which fruit is less expensive? • Use unit rates to help you decide. • $3.00 or $2.60 12 10 • Apples = $0.25 each • Pears = $0.26 each

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