1. Unit 6: Scale Factor and Measurement
How will you measure up?

2. What am I Learning Today?
Measurement
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.

3. Following Directions Lesson
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”.

4. 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.

5. Following Directions Lesson
Fold the paper in half the other way “hamburger style”.

6. 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.

7. Following Directions Lesson
Fold the paper again “hamburger style”.
Then fold it over again in the same direction as you folded it last.

8. 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.

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

10. 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.

11. 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.

12. 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?

13. Reading A Ruler
You read each line as a fraction or portion of the total number 16.
Remember, all fractions should be expressed in simplest form.
1/16
3/16
7/16
9/16
11/16
13/16
15/16
5/16
2/16
14/16
6/16
10/16
4/16
12/16
8/16
16/16

14. Now let’s see if you can read one properly.
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. 1 2 1 4 1 4 3 8 1 8 3 8 5 8 7 16 1 16 3 16 5 16 7 16 9 16 11 16 13 16 15

15. What is this measurement?1.
6 9/16 inches

16. What is this measurement?
3 3/8 inches

17. What is this measurement?
5 3/4 inches

18. Computer Lab Practice

19. Customary equivalencies

20. Inches/Feet/Yards 1 yard 12 inches 12 inches 12 inches 1 foot 1 foot

21. How many pounds are in a ton?
2 Tons =
4000 pounds

22. How many feet are in a mile?

23. How many yards are in a mile?

24. G Q Q Q Q PP PP PP PP Big G How many cups in a quart?
How many pints in a gallon?
How many cups in a gallon? Q PP Q PP G cc cc cc cc Q Q PP PP cc cc cc cc

25. Questions Answers 1 qt 4 c 3 qt x = 1 • x = 4 • 3 x = 12
Questions Notes
Questions Answers
How do I convert between customary units of measure?
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 =
Remember, the order of each ratio must be the same!!
How do I convert 3 quarts to cups?
1 • x = 4 • 3
x = 12
3 quarts = 12 cups.

26. Convert 144 cups to gallons.
144 cups = gallons.
1 gallon is 16 cups. Write a proportion. Use a variable for the value you are trying to find.
1 gal 16 c
x c =
The cross products are equal.
16 • x = 1 • 144
Divide both sides by 16 to undo multiplication.
16x = 144
x = 9
144 cups = 9 gallons.

27. Customary Conversion Practice
1. 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?
180 inches
32,000 pounds
44 cups
8 yards

28. Questions Answers What are the basic metric units?
Questions Notes
Questions Answers
What are the basic metric units?
- 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 Milli
King 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.
How do I convert between metric units of measure?

29. Converting between metric units.
kilo
hecto
deca
deci
Meter
centi
Liter
milli
Gram
King Henry Died By Drinking Chocolate Milk

30. Convert metric measures simply by moving the decimal.
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.

31. Converting between metric units is as easy as moving a decimal!
kilo
hecto
deca
deci
centi
milli

32. Converting between metric units.
kilo
hecto
deca
deci
centi
milli
100,000
1 kilogram = centigrams

33. Converting between metric units.
kilo
hecto
deca
deci
centi
milli 10
1000 millimeters = decimeters

34. Converting between metric units.
kilo
hecto
deca
deci
centi
milli
320 hectoliters= kiloliters 32

35. Converting between metric units.
kilo
hecto
deca
deci
centi
milli
4000 centimeters = meters 40

36. Converting between metric units.
kilo
hecto
deca
deci
centi
milli
34,400
344 decameters = decimeters

37. Converting between metric units.
kilo
hecto
deca
deci
centi
milli
500 centimeters = millimeters
5000

38. Sports Application
The high-jumper cleared a height of 1.75 m. How many centimeters is this height?
A centimeter is 2 places to the right of a meter in the chart.
1.75 m = cm.
1 m = 100 cm. You are converting a bigger unit TO a smaller unit. Multiply by 100.
1.75 m = (1.75 • 100) cm
Move the decimal point 2 places to the right.
1.75 m = 175 cm

39. Using Powers of Ten to Convert Metric Units of Measurement
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
Move the decimal point 2 places to the left.
14 cm = 0.14 m
Make sure you are multiplying or dividing by the correct power of ten.
Caution!

40. Metric Conversion Practice
Convert.
1. A book is 24 cm long. 24 cm = ____ mm
2. The chain has a mass of 16 g. 16 g = _____ mg
3. The volume of the liquid was 12,000 mL.
12,000 mL = ____ L
4. Frank’s paper airplane glided 78.9 m. Sarah’s plane glided 85 m. How many more centimeters did Sarah’s plane glide?
240
16,000 12
610 cm

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

42. What metric unit would you use to measure volume?
LITERS

43. What metric unit would you use to measure weight?
GRAMS

44. What metric unit would you use to the distance to the mall?
Kilometers

45. What metric unit would you use to the width of your paper?
Centimeters or Millimeters

46. What metric unit would you use to the weigh yourself?
Kilograms

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

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