1. Welcome to MM150! Kirsten Meymaris Unit 5
Plan for the hour
MML Challenge!!
Basic Terms in Metric System (5.1)
Length, Area, Volume (5.2)
Mass and Temperature (5.3)
Conversions To and From Metric System (5.4)

2. MML Challenge!! Everyone score 60/60 this week, Unit 5?!
Challenge: Can everyone get 60/60 on your MML Graded Practice this week?! 
REMEMBER:
1- You can go in and out of the MML all Unit long (through next Tuesday at midnight)
2 - You can keep trying similar problems until you get that one right
3 – You can view an example of this problem being worked out
4 - You can step through this problem getting feedback at each step
5 – You can send me an with your questions about this problem.

3. Basic Terms and Conversions within the Metric System
5.1
Basic Terms and Conversions within the Metric System

4. Basic Terms Common Use US Customary Metric System Length inch
foot, yard mile
centimeter
meter kilometer
Area
inch2
feet2,yard2
acre
cm2
meter2
hectare
Volume (solid)
inch3
foot3
yard3
cm3 meters3
Volume
(non-solid, liquid)
ounce, cup
quart
gallon
milliliter, cc liter
Weight/Mass*
ounce
pound (lb) ton
gram
kilogram
tonne
Temperature
Fahrenheit
Celsius
* Weight and mass are not the same but on Earth they are proportional and therefore are treated as the same.

5. Metric Prefixes Count how many prefixes/decimal places to move
tera
giga
mega
kilo
hecto
deka *
deci
centi
mili
micro
nano
pico
1012
109
106
103
102
101 1
10-1
10-2
10-3
10-6
10-9
10-12
tera
giga
mega
kilo
hecto
deka *
deci
centi
mili
micro
nano
pico
1012
109
106
103
102
101 1
10-1
10-2
10-3
10-6
10-9
10-12
Count how many prefixes/decimal places to move
Put in decimal point (if not already there)
Move decimal point to the left/right (adding zeros where necessary)
Smaller to larger? (Left = L ~ Larger)
Larger to smaller? (Right = R ~ Smaller)

6. Example: Changing Units within Metric System
Convert 54.6 m to km
Convert 0.89 kg to cg
Convert 1.5 TB to MB

7. Metric Prefixes BASE tera giga mega kilo hecto deka * deci centi mili
micro
nano
pico
1012
109
106
103
102
101 1
10-1
10-2
10-3
10-6
10-9
10-12

8. Example: Changing Units within Metric System
Convert 54.6 m to km
Convert 0.89 kg to cg
Convert 1.5 TB to MB
Solutions:
54.6 m = km.
0.89 kg = 89,000 cg
1.5 TB = 1,500,000 MB

9. 5.2
Length, Area, and Volume

10. Common Use US Customary Metric System Length inch foot, yard mile
centimeter
meter kilometer
Area
inch2
feet2,yard2
acre
cm2
meter2
hectare
Volume (solid)
inch3
foot3
yard3
cm3 meters3
Volume
(non-solid, liquid)
ounce, cup
quart
gallon
milliliter, cc liter
Weight/Mass*
ounce
pound (lb) ton
gram
kilogram
tonne
Temperature
Fahrenheit
Celsius
* Weight and mass are not the same but on Earth they are proportional and therefore are treated as the same.

11. Length
The meter is used to measure things that we normally measure in yards and feet.
Area
Areas are always expressed in square units.
Common Formulas:

12. Area Example
The length of a rectangular park is 82.5 m, and its width is 25.4 m. Find the area of the park.

13. Area Example
The length of a rectangular park is 82.5 m, and its width is 25.4 m. Find the area of the park.
Solution: Area = length  width.

14. Volume in the Metric System
1 m = kL
1 dm = L
1 cm = mL
Volume in Liters
Volume in Cubic Units
cc = cubic centimeters = 1cm3
Common Formulas:

15. Example: Volume Application
A cylindrical shampoo bottle has a diameter of 6 cm and a height of 12 cm. What is the volume in milliliters?

16. Example: Volume Application
A cylindrical shampoo bottle has a diameter of 6 cm and a height of 12 cm. What is the volume in milliliters?
Solution:

17. 5.3
Mass and Temperature

18. Common Use US Customary Metric System Length inch foot, yard mile
centimeter
meter kilometer
Area
inch2
feet2,yard2
acre
cm2
meter2
hectare
Volume (solid)
inch3
foot3
yard3
cm3 meters3
Volume
(non-solid, liquid)
ounce, cup
quart
gallon
milliliter, cc liter
Weight/Mass*
ounce
pound (lb) ton
gram
kilogram
tonne
Temperature
Fahrenheit
Celsius
* Weight and mass are not the same but on Earth they are proportional and therefore are treated as the same.

19. Mass
Although weight and mass are not the same, on Earth they are proportional to each other.
Mass is a measure of the amount of matter in an object.
Weight is the measure of gravitational pull on an object.

20. Mass
Weight
Mass
Earth
Moon

21. Volume and Mass of Water
Volume in Cubic Units
1 m = kL = 1 t (1000 kg)
1 dm = L = kg
1 cm = mL = g
Mass of Water
Volume in Liters

22. Example: Capacity A fish tank is 1 m long, 60 cm high and 260 mm wide.
Determine the number of liters that the tank holds.
What is the mass of the water in kilograms.

23. Example: Capacity A fish tank is 1 m long, 60 cm high and 260 mm wide.
Determine the number of liters that the tank holds.

24. Example: Capacity A fish tank is 1 m long, 60 cm high and 260 mm wide.
What is the mass of the water in kilograms.

25. Example: Capacity continued
Solution:
Since 1 m3 of water = 1 kL of water,
0.156 m3 = kL, or 156 liters of water
Since 1L = 1 kg, 156 L = 156 kg of water.

26. Temperature Water boils 212ºF 100ºC Body temperature 98.6ºF 37ºC
Comfortable room
71.6ºF
22ºC
Water freezes
32ºF
0ºC
Description ºF ºC
Temperature

27. Example: Choose ºF or ºC
The temperature of a can of frozen juice about 2 __.
The temperature of a person with a fever is about __.
The temperature of a bowl of hot soup is about 175 __.

28. Example: Choose ºF or ºC
The temperature of a can of frozen juice about 2 __.
The temperature of a person with a fever is about __.
The temperature of a bowl of hot soup is about 175 __.
Solution:
a) ºC b) ºF c) ºF

29. Conversions

30. Example: Conversions
The air temperature on a warm summer day is about 85ºF. What is the equivalent temperature on the Celsius thermometer?

31. Example: Conversions
The air temperature on a warm summer day is about 85ºF. What is the equivalent temperature on the Celsius thermometer?
Solution:
The equivalent temperature is about 29.4ºC.

32. Example: Conversions
The temperature of a cold glass of milk is about 5ºC . What is the equivalent temperature on the Fahrenheit thermometer?

33. Example: Conversions
The temperature of a cold glass of milk is about 5ºC . What is the equivalent temperature on the Fahrenheit thermometer?
Solution:
The equivalent temperature is about 41ºF.

34. Dimensional Analysis and Conversions to and from the Metric System
5.4
Dimensional Analysis and Conversions to and from the Metric System

35. Dimensional Analysis
Dimensional analysis is a procedure used to convert from one unit of measurement to a different unit of measurement.
A unit fraction is any fraction in which the numerator and denominator contain different units and the value of the fraction is 1.

36. U.S. Customary Units 1 pint = 2 cups 1 year = 365 days
1 cup (liquid) = 8 fluid ounces
1 day = 24 hours
1 ton = 2000 pounds
1 hour = 60 minutes
1 pound = 16 ounces
1 minute = 60 seconds
1 mile = 5280 feet
1 gallon = 4 quarts
1 yard = 3 feet
1 quart = 2 pints
1 foot = 12 inches
U.S. Customary Units

37. Dimensional Analysis
Examples of unit fractions:

38. Conversion to and from the Metric System - Length
U.S. to Metric
1 inch (in.) ≈ 2.54 centimeters (cm)
1 foot (ft) ≈ 30 centimeters (cm)
1 yard (yd) ≈ 0.9 meter (m)
1 mile (mi) ≈ 1.6 kilometers (km)

39. Conversion to and from the Metric System - Area
U.S. to Metric
1 square inch (in.2) ≈ 6.5 square centimeters (cm2)
1 square foot (ft2) ≈ 0.09 square meter (m2)
1 square yard (yd2) ≈ 0.8 square meter (m2)
1 square mile (mi2) ≈ 2.6 square kilometers (km2)
1 acre ≈ 0.4 hectare (ha)

40. Conversion to and from the Metric System - Volume
U.S. to Metric
1 teaspoon (tsp) ≈ 5 milliliters (ml)
1 fluid ounce (fl oz) ≈ 30 milliliters (ml)
1 quart (qt) ≈ 0.95 liter (l)
1 gallon (gal) ≈ 3.8 liters (l)
1 cubic yard (yd3) ≈ 0.76 cubic meter (m3)

41. Conversion to and from the Metric System - Weight (Mass)
WEIGHT OR MASS
U.S. to Metric
1 ounce (oz) ≈ 28 grams (g)
1 pound (lb) ≈ 0.45 kilogram (kg)
1 ton (T) ≈ 0.9 tonne (t)

42. Example: Volume and Area
A gas tank holds 22.6 gallons of gas. How many liters is this?
The area of a box is in2. What is its area in square centimeters?

43. Example: Volume and Area
A gas tank holds 22.6 gallons of gas. How many liters is this?
Solution:
The area of a box is in2. What is its area in square centimeters?

44. Example: Converting Speed
A road in Toronto, Canada shows that the speed limit is 62 kph. Determine the speed in miles per hour.

45. Example: Converting Speed
A road in Toronto, Canada shows that the speed limit is 62 kph. Determine the speed in miles per hour.
Solution:
Since 62 km equals mi, 62 kph is equivalent to mph.

46. Example: Weight (Mass) Conversion for Medication
A newborn baby weighs 8 pounds 4 ounces. If 20 mg of a medication is given for each kilogram of the babies weight, what dosage should be given?

47. Example: Weight (Mass) Conversion for Medication
A newborn baby weighs 8 pounds 4 ounces. If 20 mg of a medication is given for each kilogram of the babies weight, what dosage should be given?
Solution:
The dosage of the medication is mg.

48. Remember to Ask, Ask, Ask! kmeymaris@kaplan.edu AIM: kkmeymaris