Ratios and Units of Measure

Notes 5.1, DATE_____________

Measurement

Process we use to find size, quantities, or amounts.

Vocabulary:

Today we will learn to convert from one unit to another by canceling units, how to find the ratio of quantities, and how to find unit rate

Unit of Measurement.

1) Inches, feet, miles, meters

2)

3) Seconds, minutes, hrs.

4) Ounces, pounds, kilos

5) Degree fahrenheight, Celsius

6) Degrees, radians

7)

What are you measuring?

1) Distance

2) Area

3) Time

4) Weight

5) Temperature

6) Angular measure

7) Volume

222 ,, milemft

qtlitermft ,,, 33

What does each unit measure?

•Can convert from one unit to another if both units measure the same thing!

Example.

3 feet = 36 inches

6 inches = .5 feet

Steps for converting from one unit to another:

1) Write what you are given over one

2) Choose the correct conversion factor for the unit you want

3) Multiply the given by the conversion factor so that units cancel

4) Solve for requested Unit

Ex 1) How many centimeters are in 3 inches?

1

3in

Conversion factor: 1in = 2.54 cm.

1)

1

3in

2)

3)

4) 1

54.23 cm= cm

cm62.7

1

62.7

in

cm

1

54.2

Ex 2) 10m = _______ cm

1

10m

Conversion factor: 1 m = 100 cm

1)

1

10m

2)

3)

4) 1

10010 cm= cm

cm1000

1

1000

m

cm

1

100

Ex 3) Change 29 qt. to gallons.

1

29qts

Conversion factor: 4 qts. = 1 gallon

1)

1

29qt

2)

3)

4) 4

29 gal

qts

gal

4

1

gal25.7

Ex 4) Convert 515 km/h to miles/hour?

h

km

1

515

Conversion factor: 1.6 km = 1 mile

1) h

km

1

515

2)

3)

4) h

miles

6.1

515= hourmiles /88.321

km

mile

6.1

1

Write each ratio in lowest terms.

1

80m

14 kg : 35 kg1)

2)

3)

1 m = 100 cm

35

14

m

cm

1

100 cm8000

5

2

80 m : 400 cm

Make sure they are in the same unit first!!!

400

8000

1

20

16 h : 2 days

24 h = 1 day

1

2 daysday

hour

1

24 hours48

48

16

3

1

Find each unit rate.

135 mi : 3 h1)

2) $15 for 250 copies

Price for one!! Divide!!!!

3

135hmi /45

250

15copyper06.0$