Mathematics
Grade 7
15 min
Compare and convert customary units
Compare and convert customary units
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1
Introduction & Learning Objectives
Learning Objectives
Identify common customary units for length, weight, and capacity.
Recall and apply standard conversion factors between customary units.
Convert measurements from a larger customary unit to a smaller customary unit.
Convert measurements from a smaller customary unit to a larger customary unit.
Compare two measurements expressed in different customary units.
Solve real-world problems involving customary unit conversions and comparisons.
Ever wonder how many inches are in a yard, or how many cups are in a gallon? 🤔 Understanding these relationships helps us measure the world around us!
In this lesson, you'll learn about the customary system of measurement used in the United States. We'll explore units for length, weight, and capacity, discover ho...
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Key Concepts & Vocabulary
TermDefinitionExample
Customary UnitsA system of measurement primarily used in the United States, including units like inches, feet, pounds, and gallons.When you measure your height in feet and inches, you are using customary units.
Conversion FactorA ratio (fraction) that relates two different units of measurement, used to convert from one unit to another.The conversion factor between feet and inches is 1 foot = 12 inches, or $\frac{12 \text{ inches}}{1 \text{ foot}}$.
LengthThe measurement of distance from one point to another.Common customary units of length are inches (in), feet (ft), yards (yd), and miles (mi).
Weight (Mass)The measure of how heavy an object is, or the amount of matter it contains.Common customary units of weight are ounces (oz), pounds (lb), and tons (T).
CapacityTh...
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Core Formulas
Converting Larger Units to Smaller Units
To convert a measurement from a larger unit to a smaller unit, multiply the given value by the appropriate conversion factor.
Use this rule when you want more of the smaller units to represent the same quantity. For example, converting feet to inches means you'll have more inches than feet.
Converting Smaller Units to Larger Units
To convert a measurement from a smaller unit to a larger unit, divide the given value by the appropriate conversion factor.
Use this rule when you want fewer of the larger units to represent the same quantity. For example, converting ounces to pounds means you'll have fewer pounds than ounces.
Proportional Conversion Method
Set up a proportion where one ratio represents the known conversion f...
5 more steps in this tutorial
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Sign Up Free to ContinueSample Practice Questions
Challenging
A rectangular garden is 10 yards long and 15 feet wide. What is the area of the garden in square feet?
A.450 sq ft
B.150 sq ft
C.300 sq ft
D.900 sq ft
Challenging
A large jug of juice originally held 1 gallon. After a family breakfast, only 3 pints of juice are left. How many fluid ounces of juice were consumed?
A.80 fl oz
B.48 fl oz
C.128 fl oz
D.96 fl oz
Challenging
A bulk bin of nuts costs $12.00 per pound. How much would a bag weighing 20 ounces cost?
A.$12.00
B.$15.00
C.$18.00
D.$20.00
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