CUSTOMARY AND METRIC UNITS
CUSTOMARY UNITS OF LENGTH12 inches (in) = 1 foot (ft)
3 feet = 1 yard (yd)
5,280 feet = 1 mile (mi)
1,760 yards = 1 mile / METRIC UNITS OF LENGTH
10 millimeters (mm) = 1 centimeter (cm)
10 centimeters = 1 decimeter (dm)
10 decimeters = 1 meter (m)
1,000 meters = 1 kilometer (km)
CUSTOMARY UNITS OF CAPACITY
8 fluid ounces (fl oz) = 1 cup (c)
2 cups = 1 pint (pt)
2 pints = 1 quart (qt)
4 quarts = 1 gallon (gal) / METRIC UNITS OF CAPACITY
1,000 milliliters (mL) = 1 liter (L)
10 deciliters (dL) = 1 liter
CUSTOMARY UNITS OF WEIGHT
16 ounces (oz) = 1 pound (lb)
2,000 pounds = 1 ton (T) / METRIC UNITS OF MASS
1,000 milligrams (mg) = 1 gram (g)
1,000 grams = 1 kilogram (kg)
1,000 kilograms = 1 metric ton (t)
SMALLER UNIT LARGER UNIT
LARGER UNIT SMALLER UNIT
Customary Length
Customary Units of Length12 inches (in.) = 1 foot (ft)
3 feet = 1 yard (yd)
5,280 feet = 1 mile (mi)
1,760 yards = 1 mile
Step 1: Use the table to find the relationship
Between inches and feet.
____foot = _____ inches
Step 2: Divide by ____ to find the number of
feet
Examples:
54 in. = _____ ft ____ in5 yd 2 ft = ____ ft
2 mi = ____ ft70 in = ____ft ___in
3 ft = ____ in 12 yd 2ft = _____ ft
Customary Units of Weight
14,000 lb = _____T
Use the table to find the relationship between
pounds and tons.
Divide by ______to find
the number of tons.
Practice:
32 oz = ______lb______lb = 2 T
Compare. <, >, or =
52 oz 3 lb4,200 lb 2 T 300 lb
Which unit would you use to measure each: ounces, pounds, or tons?
A horse ______
18-wheel truck ______
A penny ______
Customary Capacity
Once upon a time, in the kingdom of gallon, there lived four queens. Each queen had a prince and princess in her castles. Each prince and princess had 2 cats. Each cat has 8 fleas.
Example:
An African elephant can take 1 ½ gallons of water into its trunk for a drink. How many quarts are in 1 ½ gallons?
To solve:
Find the relationship between gallons and quarts.
Each gallon is ______quarts.
So ½ gallon is ______quarts.
1 ½ gal = ______qt + ______qt = 6 qt
Solution: ______
Examples:
8 qt = ______gal
What is the relationship between quarts and gallons? ______
Each gallon contains ______quarts. Therefore, 8 quarts is equal to ______gallons
______pt = 64 fl oz
What is the relationship between pints and fluid ounces? ______
(Hint: If you don’t know, figure out the relationship of fluid ounces and cups, and then cups to pints.)
Each pint contains ______fl oz. Therefore, 64 fluid ounces is equal to ______pints.
Changing Metric Units of Length
To change from one metric unit of length to another, multiply
or divide by a power of 10. Powers of 10 include 10, 100, and 1,000.
kilometer / hectometer / dekameter / meter / decimeter / centimeter / millimeterkm / hm / dam / m / dm / cm / mm
1,000 m / 100 m / 10 m / 1 m / 0.1 m / 0.01 m / 0.001 m
Changing Metric Units of Mass
To change from one metric unit of mass to another, multiply
or divide by a power of 10. Powers of 10 include 10, 100, and 1,000.
kilogram / hectogram / dekagram / gram / decigram / centigram / milligramkg / hg / dag / g / dg / cg / mg
1,000 g / 100 g / 10 g / 1 g / 0.1 g / 0.01 g / 0.001 g
Changing Metric Units of Capacity
To change from one metric unit of mass to another, multiply
or divide by a power of 10. Powers of 10 include 10, 100, and 1,000.
10 10 10 10 10 10
kiloliter / hectoliter / dekaliter / liter / deciliter / centiliter / milliliterkL / hL / daL / L / dL / cL / mL
1,000 L / 100 L / 10 L / 1 L / 0.1 L / 0.01 L / 0.001 L
Adding and Subtracting Measurements
Find 13 ft 3 in – 4ft 8 in.
Step 1: Subtract inches. Since 3 < 8, regroup 1 ft as 12 in. / Step 2: Subtract feet.- Metric UnitsB. Time
1 m – 35 cm =3 h 35 min + 5 h 46 min
Real World Measurement Problems
Brian went to a park that was 2 kilometers away from his house. When he left his house, he started riding his bike toward the park. After he rode 1,050 meters, the chain on his bike broke and he had to walk the rest of the way. How far did he have to walk to get to the park?
Answer: ______
Steven bought 2 pounds of peanuts for his party that he is going to divide among 16 bowls. Each bowl will hold an equal amount of peanuts.
Answer: ______
John is building a project from wood that requires a board that is 25 feet in length. He has some boards he can put together but he doesn’t think he has enough. He has a board that is 3 feet in length, one that is 9 feet in length, and one that is 2 feet 4 in. in length. John decides to buy a board at the hardware store to make up the rest of the length. How long should the board be that John purchases to complete the 25 foot board?
Answer: ______-
Volume
Words you should know:
Perimeter: ______
Area: ______
______
Volume: ______
______
Volume is expressed in ______units.
Exploring Volume
Using a Formula to Find Volume
Instead of counting cubic units, you can calculate volume using a ______.
Examples:
Calculate the volume of each figure using the formula.
V = L x W x H
L = ______
W = ______
H = ______
V = ______x ______x ______
V = ______/
V = L x W x H
L = ______
W = ______
H = ______
V = ______x ______x ______
V = ______
Composite Volume
Composite volume is when you calculate the ______volume of ______or more solids.