UNIT RATES HS.N-Q.A.1. 43210 In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with other concepts.

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UNIT RATES HS.N-Q.A.1

43210 In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with other concepts in math · Make connection with other content areas. The student will be able to use units to solve multi-step contextual problems. - choose, convert, interpret and justify appropriate units in the context of a problem -interpret and create graphical representations of scenarios. The student will be able to choose and convert units to solve multi-step contextual problems. -interpret graphical representations of scenarios. With help from the teacher, the student has partial success with using units to solve multi- step contextual situations. Even with help, the student has no success with using units to solve multi-step contextual situations. 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…  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.

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.

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 Video

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.

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.

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.

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.  $3.00 or$  Apples = $0.25 each  Pears = $0.26 each