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Unit 6: Scale Factor and Measurement. How will you measure up?. Measurement. What 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. - PowerPoint PPT Presentation
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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.
Following Directions Lesson
Fold the paper in half the other way “hamburger style”.
Following Directions Lesson
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.
Following Directions Lesson
Fold the paper again “hamburger style”.
Then fold it over again in the same direction as you folded it last.
Following Directions Lesson
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.
Following Directions Lesson
Fold the paper over one more time in the same direction as your last fold, making it even more slender.
Following Directions Lesson
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.
Following Directions Lesson
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.
Following Directions Lesson
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?
Following Directions Lesson
• 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
What is this measurement?
3 3/8 inches
What is this measurement?
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
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
Converting between metric units.
kilohecto
deca
decicenti
milli
1 kilogram = centigrams100,000
Converting between metric units.
kilohecto
deca
decicenti
milli
1000 millimeters = decimeters10
Converting between metric units.
kilohecto
deca
decicenti
milli
320 hectoliters= kiloliters32
Converting between metric units.
kilohecto
deca
decicenti
milli
4000 centimeters = meters40
Converting between metric units.
kilohecto
deca
decicenti
milli
344 decameters = decimeters 34,400
Converting between metric units.
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