unit 6: scale factor and measurement

Unit 6: Scale Factor and Measurement

How will you measure up?

MeasurementWhat am I Learning Today?

How will I show that I learned it?Determine appropriate units of measure

Measure length to the nearest half, fourth, eighth and sixteenth of an inch.

Convert from one unit to another within one system of measurement

(customary or metric) by using proportional relationships.

Take out a clean sheet of notebook paper.

Place it in front of you on your desk.

Fold your paper in half long ways “hot dog style”.

Following Directions Lesson

Open your paper up and place it holes to the top on your desk.

Draw a line all the way down the crease on the paper with a marker.


Fold the paper in half the other way “hamburger style”.


Open the paper up with the holes to the top.

Draw a line from the center of the paper to the margin closest to you.


Fold the paper again “hamburger style”.

Then fold it over again in the same direction as you folded it last.


Open the paper up.

Draw a line on each of the creases half way to the bottom margin.

Then fold your paper back up like you last had it.


Fold the paper over one more time in the same direction as your last fold, making it even more slender.


Open the paper up.

Draw lines on the four creases half as long as the last lines you drew, or ¼ of the way to the bottom margin.


Draw small lines on our paper in between each of the lines already on your paper and the left and right edges.

Make the lines extend down and be half as long as the last lines drawn.


Next, draw lines on the left and right edges all the way down below the margin, half way between the margin and the bottom of the paper.

How many lines have you drawn?

What fraction represents the whole amount?


• You read each line as a fraction or portion of the total number 16.

• Remember, all fractions should be expressed in simplest form.

Reading A Ruler

0

1/16

2/163/16

4/16

5/166/16

7/16

8/16

9/16

10/16

11/16

12/16

13/1614/1615/16

16/16

0 1

21

41

43

81

83

85

87

16 1

16 3

16 5

16 7

16 9

1611

1613

1615

How do I read a ruler?This is a typical carpenter’s ruler. Label your ruler exactly like this one.

Now let’s see if you can read one properly.

What is this measurement?

1.

6 9/16 inches


3 3/8 inches


5 3/4 inches

Computer Lab Practice

http://www.thatquiz.org/tq-9/math/measurement/



Customary equivalencies

Inches/Feet/Yards

1 foot 1 foot 1 foot

12 inches 12 inches 12 inches

36 inches

1 yard

How many pounds are in a ton?

2 Tons =

1 ton= 2000 pounds

4000 pounds

http://www.wpclipart.com/transportation/car/beetle/Beetle_purple.png

How many feet are in a mile?

1 mile =

5280 feet


How many yards are in a mile?

1 mile =1760 yards


GQQQQ PP

PP

Big G

PP

PP

cc cc cc cc

cc cc cc cc

How many cups in a quart?

How many pints in a gallon?

How many cups in a gallon?

Questions AnswersHow do I convert

between customary units

of measure?

How do I convert 3

quarts to cups?

1) Write a ratio using a conversion factor.2) Create a proportion using a variable for the value you are trying to find and the measurement given.3) Find the cross product and solve for the variable.

What is a conversion

factor?

The standard equivalents between two given units. In other words, “How much for one?” For example, 12 inches equals 1 foot.

1 qt 4 c

3 qt x=

1 • x = 4 • 3x = 12

3 quarts = 12 cups.

Remember, the order of each ratio must be the same!!

Convert 144 cups to gallons.

16x = 144

16 • x = 1 • 144

144 cups = 9 gallons.

1 gallon is 16 cups. Write a proportion. Use a variable for the value you are trying to find.

The cross products are equal.

Divide both sides by 16 to undo multiplication.

144 cups = gallons.

1 gal 16 c

x 144 c=

x = 9

Customary Conversion Practice1. Convert 5 yards to inches. 2. Convert 16 tons to pounds.3. Convert 11 quarts to cups.4. A project requires 288 inches of tape. How

many yards is this?

32,000 pounds180 inches

44 cups

8 yards

Questions AnswersWhat are the basic metric

units?

How do I convert

between metric units of

measure?

- Meter measures length or distance- Liter measures volume or capacity- Gram measures weight or mass

What are the metric

prefixes?

Kilo Hecto Deca Base Deci Centi MilliKing Henry Died By Drinking Chocolate Milk

1) Write out KHDBDCM. Put a dot over the prefix of the given unit. Put another dot over the prefix of the unit you are trying to find.2) Notice the direction and number of “hops” you have to make to get from the original prefix to the other.3) Move your decimal the same number of “hops” in the same direction to get your answer.

Converting between metric units.

kilohecto

deca

decicenti

milli

King Henry Died By Drinking Chocolate Milk

MeterLiterGram

Metric Measurements

Length Weight Capacity

1 km = 1,000 m 1 kg = 1,000 g 1 L = 1,000 mL

1 m = 100 cm 1 g = 1,000 mg

1 cm = 10 mm

Convert metric measures simply by moving the decimal.

Converting between metric units is as easy as moving a decimal!

kilohecto

deca

decicenti

milli


kilohecto

deca

decicenti

milli

1 kilogram = centigrams100,000


kilohecto

deca

decicenti

milli

1000 millimeters = decimeters10


kilohecto

deca

decicenti

milli

320 hectoliters= kiloliters32


kilohecto

deca

decicenti

milli

4000 centimeters = meters40


kilohecto

deca

decicenti

milli

344 decameters = decimeters 34,400


kilohecto

deca

decicenti

milli

500 centimeters = millimeters5000

Sports ApplicationThe high-jumper cleared a height of 1.75 m. How many centimeters is this height?

1.75 m = (1.75 • 100) cm

1.75 m = 175 cm

1.75 m = cm. A centimeter is 2 places to the right of a meter in the chart.

1 m = 100 cm. You are converting a bigger unit TO a smaller unit. Multiply by 100.

Move the decimal point 2 places to the right.

Using Powers of Ten to Convert Metric Units of Measurement

Convert.The CD case is 14 cm wide. 14 cm = _____ m

100 cm = 1 m, smaller unit TO bigger unit, so divide by 100.

14 cm = (14 ÷ 100) m

14 cm = 0.14 m

Make sure you are multiplying or dividing by the correct power of ten.

Caution!

Move the decimal point 2 places to the left.

Metric Conversion PracticeConvert.1. A book is 24 cm long. 24 cm = ____ mm2. The chain has a mass of 16 g. 16 g = _____ mg3. The volume of the liquid was 12,000 mL.

12,000 mL = ____ L4. Frank’s paper airplane glided 78.9 m. Sarah’s

plane glided 85 m. How many more centimeters did Sarah’s plane glide?

16,000240

12

610 cm

What metric unit would you use to measure length or distance?

METERS

What metric unit would you use to measure volume?

LITERS

What metric unit would you use to measure weight?

GRAMS

What metric unit would you use to the distance to the mall?

Kilometers

What metric unit would you use to the width of your paper?

Centimeters or Millimeters

What metric unit would you use to the weigh yourself?

Kilograms

What metric unit would you use for the amount of water to fill a tub?

Liters

What metric unit would you use for the amount of water to fill a pool?

Kiloliters

unit 6: scale factor and measurement

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