holt ca course 1 5-5 customary measurements af2.1 convert one unit of measurement to another (e.g.,...
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Holt CA Course 1
5-5 Customary Measurements
AF2.1 Convert one unit of measurement to another (e.g., from feet to miles, from centimeters to inches). Also covered: NS1.3
California Standards
Holt CA Course 1
5-5 Customary MeasurementsYou can use the following benchmarks to help you understand fluid ounces, tons, and other customary units of measure.
Holt CA Course 1
5-5 Customary MeasurementsTeacher Example 1: Choosing the Appropriate
Customary Unit
Choose the most appropriate customary unit for each measurement. Justify your answer.
A. the weight of a cartons; The weight of a car is similar to the weight of a buffalo.
inches; The diameter of a soup can is similar to the length of a few paper clips.
pounds; The weight of a newborn baby is similar to the weight of more than a dozen apples.
B. the diameter of a soap can
C. the weight of a newborn baby
Holt CA Course 1
5-5 Customary MeasurementsStudent Practice 1:
Choose the most appropriate customary unit for each measurement. Justify your answer.
A. the length of a pen topinch; The length of a pen top is similar to the length of a small paper clip.
pounds; The weight of a pitcher of juice is similar to the weight of about 10 apples.
cups; The capacity of a jar of peanut butter is similar to the capacity of 2 standard measuring cups.
B. the weight of a pitcher of juice
C. the capacity of a jar of peanut butter
Holt CA Course 1
5-5 Customary MeasurementsLength
12 inches (in.)= 1 foot (ft)3 feet = 1 yard (yd)
5,280 feet = 1 mile (mi)
Weight
16 ounces (oz) = 1 pound (lb) 2000 pounds = 1 ton
Capacity
8 fluid ounces (fl oz) = 1 cup (c)2 cups = 1 pint (pt)
2 pints = 1 quart (qt)4 quarts = 1 gallon (gal)
Holt CA Course 1
5-5 Customary MeasurementsTeacher Example 2: Converting Customary Units
Convert 5,000 pounds to tons.
Method 1: Use a Proportion.
= pounds tons
2,000 1
Write a proportion using a ratio of equivalent measures.
2,000 • x = 1 • 5,000
2,000x = 5,000
5,000 m x
x = 2.5
5,000 pounds is equal to 2.5 tons.
Holt CA Course 1
5-5 Customary Measurements
Method 2: Multiply by 1.
= 5,000
5,000 lb = 5,000 lb m 1
Multiply by a ratio equal to 1, and cancel the units.
Teacher Example 2: Continued
Convert 5,000 pounds to tons.
1 ton t 2,000 lb
1 ton t 2,000
= 2.5 tons
5,000 pounds is equal to 2.5 tons.
Holt CA Course 1
5-5 Customary MeasurementsStudent Practice 2:
Convert 24 pints to cups.
Method 1: Use a Proportion.
= cups pints
2 1
Write a proportion using a ratio of equivalent measures.
1 • c = 2 • 24
c = 48
c 24
24 pints is equal to 48 cups.
Holt CA Course 1
5-5 Customary Measurements
Method 2: Multiply by 1.
= 24
24 pt = 24 pt m1
Multiply by a ratio equal to 1, and cancel the units.
Student Practice 2: Continued
Convert 24 pints to cups.
2 ct 1 pt
2 c 1
= 48 cups
24 pints is equal to 48 cups.
Holt CA Course 1
5-5 Customary MeasurementsTeacher Example 3: Converting Between Metric
and Customary Units
One mile is about 1.6 kilometers. What is the length in miles of a 10 kilometer race? Round to the nearest tenth of a mile.
= miles kilometers
1 1.6 x 10
Write a proportion using 1 mile 1.6 kilometers.
The length of a 10 kilometer race is about 6.3 miles long.
1.6 · x = 1 · 10
1.6x = 10
1.6x1.6
= 101.6
x 6.3
Divide each side by 1.6.
The cross products are equal.
Multiply.
Round to the nearest whole number.
Holt CA Course 1
5-5 Customary MeasurementsStudent Practice 3:
One cup is about 8 fluid ounces. What is the amount in cups of a 35 fluid ounce container?
Round to the nearest tenth of a cup.
= cups fluid ounces
1 8
x 35
Write a proportion using 1 cup = 8 fluid ounces.
The amount of a 35 fluid ounce container is about 4.4 cups.
8 · x = 1 · 35
8x = 35
8x8
= 358
x 4.4
Divide each side by 8.
The cross products are equal.
Multiply.
Round to the nearest whole number.