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CONFIDENTIAL 3
Customary Units of Length
Nonstandard units of measure give approximate dimensions. Everyday objects are used as units of measure. It can be used to measure length, height and width. The desk is as long as 6 of my hands
Length: The measurement of distance between 2 endpoints. The length of my arm is 18 inches
Height: The measurement of distance from bottom to top. Her height is 68 inches
Width: The measurement of distance from side to side. The width of the stripe is 2 inches
CONFIDENTIAL 4
Try This!
Use your hands to find the length of the computer monitor
Use nonstandard units to measure the length of a pencil
CONFIDENTIAL 5
Explore Customary Length to ¼ inch
An inch (in.) is used to measure short lengths in the customary system.
You can use a ruler, yardstick or tape to measure in inches.
0 1 2 3
CRAYON .4
13 in
CONFIDENTIAL 6
Explore Customary Length to ¼ inch
The foot (ft) and yard (yd) are used to measure larger units in the customary system.
1 yd
1 ft
CONFIDENTIAL 7
Explore Customary Length to ¼ inch
Customary Units of Length
1 foot (ft) = 12 inches (in.)
1 yard (yd) = 3 feet (ft)
1 mile (mi) = 1,760 yards (yd)
1 mile (mi) = 5,280 feet (ft)
CONFIDENTIAL 9
Customary Units of Capacity
Capacity: A measure of a dry or liquid volume of a container.
The container has a capacity of 1 gallon A coke drink is about 12 fluid ounces. A regular cup of coffee is about one cup. A can of oil for the car is about one quart. A large milk container is about a gallon.
Customary Units of Capacity
8 fluid ounces (fl. oz) = 1 cup (c)
2 cups (c) = 1 pint (pt)
2 pints (pt) = 1 quart (qt)
4 quarts (qt) = 1 gallon (gal)
CONFIDENTIAL 10
Try This!
What unit would you use to measure the capacity for each? A bathtub A soup bowl A paper cup
CONFIDENTIAL 11
Customary Units of weight
Weight: A customary measurement that tells how heavy an object is. The dog’s weight is 12 pounds A strawberry’s weight is 1 ounce (oz) A pineapple’s weight is 1 pound (lb) A car’s weight is 1 ton (T)
Customary Units of Weight
16 ounces (oz) = 1 pound (lb)
2,000 pounds (lb) = 1 ton (T)
CONFIDENTIAL 12
Try This!
What unit would you use to measure the weight for each? A math book An elephant A paper napkin
CONFIDENTIAL 13
Simple conversions with Customary Units
Convert: Change from one unit to another, such as from feet to inches.
Change Larger to Smaller units To change to a smaller unit, multiply. Example: How many inches are in 6 feet?
12 inches = 1 foot 6 feet = 6 x 12 = 72 inches
Change Smaller to Larger units To change to a smaller unit, divide. Example: How many feet is 48 inches?
1 foot = 12 inches 48 inches = 48 ÷ 12 = 4 feet
CONFIDENTIAL 15
Simple Conversion Tables
Inches Feet Yards
12 1
24 2
36 3 1
48 4
60 5
72 6 2
84 7
96 8
108 9 3
Feet Yards Miles
5,280 1,760 1
10,560 3,520 2
15,840 5,280 3
Cups Pints Quarts Gallons
2 1
4 2 1
6 3
8 4 2
10 5
12 6 3
14 7
16 8 4 1
Ounces Cups Pounds
8 1
16 2 1
24 3
32 4 2
40 5
48 6 3
CONFIDENTIAL 16
Metric Units of Length
Centimeters (cm), millimeters (mm), decimeters (dm), and kilometers (km) are used to measure length in the metric system
Metric Units of Length
10 millimeters (mm) = 1 centimeter (cm)
10 centimeters (cm) = 1 decimeter (dm)
100 centimeters = 1 meter (m)
1,000 meters = 1 kilometer (km)1 cm1 mm
1 dm
CONFIDENTIAL 17
Estimate
Estimate: An answer that is close to the exact answer. 12 x 779 = 9,348 12 x 800 = 9,600 Estimate
Estimate is used to get an idea of how large the object is; to pick appropriate units
CONFIDENTIAL 18
Try This!
Estimate and then measure. Tell what unit and tool you use. The width of your room
The largest step you can take
CONFIDENTIAL 19
Metric Units of Capacity
Capacity: A measure of a dry or liquid volume of a container. Ounces are customary
units of measurement Milliliters are metric units
Metric Units of Capacity
1,000 milliliters (mL) = 1 liter (L)
CONFIDENTIAL 20
Try This!
Estimate and then measure the capacity of each object. A juice box
A spoon
CONFIDENTIAL 21
Metric Units of Mass
Mass: Amount of matter an object has.
The mass of a math book is 1 kilogram.
Customary Units are used in US
Metric Units are used by most countries
Metric Units of Mass
1,000 grams (g) = 1 kilogram (kg)
CONFIDENTIAL 22
Try This!
Estimate and then measure the mass of each object. A bicycle A pair of sneakers
CONFIDENTIAL 23
Convert Metric Units
Metric Units
Length 1 centimeter (cm) = 10 millimeters (mm)
10 centimeters (cm) = 1 decimeter (dm)
10 decimeters (dm) = 1 meter (m)
1,000 meters (m) = 1 kilometer (km)
Mass 1 kilogram (kg) = 1,000 grams (g)
1 gram (g) = 1,000 milligrams (mg)
Capacity 1 liter (L) = 1,000 milliliters (mL)
CONFIDENTIAL 24
Convert Metric Units
Change Larger to Smaller units To change to a smaller unit, multiply. Example: How many centimeters are in 10 meters?
1 m = 100 cm 10 meters = 10 x 100 = 1,000 cm
Change Smaller to Larger units To change to a smaller unit, divide. Example: How many kilograms are in 5,000 grams?
1,000 g = 1 kg 5,000 ÷ 1,000 = 5
CONFIDENTIAL 28
Assessment
1. Use nonstandard units to measure. Tell what units you use.1. The length of your pencil
2. The length of your shoe
2. Use customary units to measure. Tell what unit and tool you use.1. Length of your forearm
2. Width of the window in your room
3. What unit you will use to measure the capacity of a frying pan.
4. What unit would you use to measure the weight for eyeglasses.
5. How many pounds is 2 tons?
CONFIDENTIAL 29
Assessment
6. Alberto makes 8 quarts of punch. How many gallons does he have?
7. Estimate and then measure using the metric system. Tell what unit and tool you use.1. Your height
8. Estimate and then measure using the metric system the capacity of a can of soda.
9. Estimate and then measure using the metric system the mass of a granola bar.
10. How many milliliters are in 3 Liters?