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POD. Write your own complex fraction that simplifies to ¼. POD. Day 2. If Cole ran 12 miles on Sunday, how many feet did he run?. POD. Day 3. Math Experiment! Let’s put it into practice. 1-3 Convert Unit Rates. Each of these relationships in the tables can be written as a unit ratio .

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Presentation Transcript
slide1

POD

Write your own complex fraction that simplifies to ¼

slide2

POD

Day 2

If Cole ran 12 miles on Sunday, how many feet did he run?

slide3

POD

Day 3

Math Experiment! Let’s put it into practice.

1 3 convert unit rates
1-3 Convert Unit Rates

Each of these relationships in the tables can be written as a unit ratio.

12 inches

1 foot

16 ounces

1 pound

100 centimeters

1 meter

slide5

You can convert one rate to an equivalent rate by multiplying by a unit ratio or its reciprocal.

You must include units in your computation.

The process of including units of measure as factors when you compute is called dimensional analysis.

10 ft

1 s

10 ft

1 s

12 in

1ft

10 × 12 in

1 s × 1

120 in.

1 s

=

×

=

=

slide6

Example

1.) A remote control car travels at a rate of 10 feet per second. How many inches per second is this?

12 in.

1 ft.

Use 1 foot = 12 inches. Multiply by

10 ft

1 s

10 ft

1 s

12 in

1 ft

=

×

10 ft

1 s

12 in

1ft

=

×

Divide out common units

=

10 × 12 in

1 s × 1

Simplify

120 in.

1 s

=

Simplify

slide7

2.) A swordfish can swim at a rate of 60 miles per hour. How may feet per hour is this?

60 mi

1 hr

5280 ft.

1 mi.

60 mi

1 hr

5280 ft

1 mi

=

×

Multiply by

60 mi

1 hr

5280 ft

1 mi

=

×

Divide out common units

=

60 × 5280 ft

1 hr × 1

Simplify

=

316,800 ft

1 hr

Simplify

slide8

3.) Marvin walks at a speed of 7 feet per second. How many feet per hour is this?

7 ft

1 s

60 s

1 min

60 min

1 h

7 ft

1 s

60 s

1 min

60 min

1 h

=

×

and

×

Multiply by

=

7 ft

1s

60s

1 min

60 min

1 h

Divide out common units

×

×

=

7 × 60 × 60ft

1 ×1 × 1h

Simplify

=

25,200 ft

1 hr

Simplify

slide9

4.) A gull can fly at a speed of 22 miles per hour. About how many feet per hour can the gull fly?

22 mi

1 h

5280 ft

1 mi

5280ft

1 mi

=

22 mi

1 h

×

Multiply by

=

22 mi

1h

5280 ft

1 mi

Divide out common units

×

=

22 × 5280ft

1h × 1

Simplify

=

116,160 ft

1 h

Simplify

slide10

5.) An Amtrak train travels at 125 miles per hour. Convert the speed to miles per minute. Round to the nearest tenth.

1 h

60 min

125 mi

1 h

1 h

60 min

125 mi

1 h

=

×

Multiply by

=

125 mi

1h

1h

60 min

Divide out common units

×

=

125 mi × 1

1 × 60 min

Simplify

=

2.1 mi

1 min

Simplify