Dimensional Analysis p237 Warm Up Find each unit rate.

1. jump rope 192 times in 6 minutes

2. four pounds of bananas for $2.36

LO: I will convert measurement units using proportional thinking.

Note: Conversion factors can be found in your:Agenda Planner p____ Holt textbook SBp15

*When converting from a smaller unit to a larger unit, the result is a smaller number. 84 in. 7 ft.

*When converting from a larger unit to a smaller unit, the resultis a larger number. 7 ft. 84 in.

diagonal

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x

y

TIP!! To change from one unit to another, multiply by a fraction of 1.

1. Convert 6 feet to inches.

2. Convert 40 ounces to pounds.

3. Convert 735 meters to centimeters.

x1

Set up unit rates on a diagonal to convert.

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Set up unit rates on a diagonal to ___________.

3.

Ex. 2: Problem Solving Application

5. A car traveled 60 miles on a road in 2 hours. Find this rate in feet per hour.

ft2 hr

Cancel

mi 5280 ft

60 mi hr

ft mi

= ft

1

The car traveled ___ feet per hour.

TIP: Write dimensional units on a DIAGONAL to __________.

Set up the given units:

Conversion factor needed:

Multiply & simplify:

60 2 hr

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1. Convert 102 feet to yards.

2. Convert 5375 milliliters to liters.

3. Find how many cereal boxes were assembled in 4 minutes at a rate of 2 boxes per second.

4. Find many fish caught a day at a rate of 42 fish caught each week.

5.4 RM

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4. The average American uses 580 pounds of paper per year. Find this rate in pounds per month, to the nearest tenth.

Ex.1: Using Conversion Factors to Solve Problems

lb 1 yr

The average American uses____ pounds of paper per month.

Conversion factor needed:

1 yr 12 mo

Set up the given rate:

yr mo

Cancel units

580 lb 1

1 mo

lb mo=

TIP: Write dimensional units on a __________ to convert.

Multiply & simplify:

Caution UNEQUAL MASSES on a FULCRUM!!!Key words: fulcrum, is balanced, seesaw

=weight 1length 2

weight 2length 1

The Tom turkey weighs __ lb.

The hen turkey weighs 28 pounds and sits on a plank of wood 4 feet away from its center. If the Tom turkey sits on the plank 5 feet away from the center, and the board is balanced, how much does the Tom weigh?

Kaylee weighs 32 pounds and sits on a seesaw 6 feet away from it center. If Austin sits on the seesaw 4 feet away from the center and the seesaw is balanced, how much does Austin weigh?

=weight 1length 2

weight 2length 1

Austin weighs __ lbs.

weight 1 weight 2

Length 2 Length 1

weight 1 weight 2

Length 2 Length 1

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3. One hundred nautical miles equals about 115 standard miles. To the nearest mile, how many standard miles is 156 nautical miles?

4. Two weights are balanced on a fulcrum. If a 6 lb. weight is positioned 1.5 ft. from the fulcrum, at what distance from the fulcrum must an 18 lb. weight be placed to keep the weights balanced?

5. An elevator travels 342 feet as it goes from the lobby of an office building to the top floor. It takes 7 seconds to travel the first 133 feet. If the elevator travels at the same rate, how much longer does it take to reach the top floor?

=weight 1length 2

weight 2length 1

weight 1 weight 2

Length 2 Length 1

5.3 RM

It will take ___ seconds to reach the top floor.The elevator has already traveled 7 seconds, so it will take

___ – 7 = ___ more seconds to reach the top floor.

miles

feet

seconds

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I know that it takes a fourteen quarters stacked on top of each other to make an inch. What is your value in quarters? Would you be worth more if they were stacked or laid end to end?