UNIT RATESHS.N-Q.A.1

4 3 2 1 0

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 theteacher, the student haspartial 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

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 $2.60

12 10 Apples = $0.25 each Pears = $0.26 each