Mathematics
Grade 7
15 min
Conversion tables - customary units
Conversion tables - customary units
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1
Introduction & Learning Objectives
Learning Objectives
Identify common customary units of length, weight, and capacity.
Recall standard conversion factors within the customary system.
Use conversion tables to find appropriate conversion factors.
Apply multiplication or division to convert between customary units.
Determine whether to multiply or divide when converting units.
Solve real-world problems involving customary unit conversions.
Ever wonder how many inches are in a foot, or how many cups are in a gallon? 📏 Let's unlock the secrets of measurement!
In this lesson, you'll learn how to use conversion tables to switch between different customary units like feet to inches or pounds to ounces. Understanding these conversions is crucial for everyday tasks and solving practical problems.
Real-Wor...
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Key Concepts & Vocabulary
TermDefinitionExample
Customary UnitsA system of measurement primarily used in the United States, including units for length, weight, and capacity.Inches, feet, pounds, ounces, cups, gallons are all customary units.
Unit ConversionThe process of changing a measurement from one unit to another without changing its value.Converting 3 feet to 36 inches is a unit conversion.
Conversion FactorA ratio of two equivalent measurements expressed in different units, used to convert from one unit to another.The ratio $\frac{12 \text{ inches}}{1 \text{ foot}}$ is a conversion factor.
Conversion TableA list or chart that provides common conversion factors between different units of measurement.A table showing 1 yard = 3 feet, 1 pound = 16 ounces, etc.
Length (Customary)A measure of distance in the cust...
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Core Formulas
Unit Conversion Principle (Dimensional Analysis)
$Q_{\text{original}} \times \frac{\text{Desired Unit}}{\text{Original Unit}} = Q_{\text{desired}}$
To convert a quantity from one unit to another, multiply the quantity by a conversion factor that has the desired unit in the numerator and the original unit in the denominator. This ensures the original unit cancels out, leaving the desired unit.
Common Customary Length Conversions
$1 \text{ foot} = 12 \text{ inches}$
$1 \text{ yard} = 3 \text{ feet}$
$1 \text{ mile} = 5280 \text{ feet}$
These are fundamental relationships for converting between customary units of length.
Common Customary Weight Conversions
$1 \text{ pound} = 16 \text{ ounces}$
$1 \text{ ton} = 2000 \text{ pounds}$
These are fundamental relationshi...
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Challenging
A punch recipe requires 1 gallon of juice, 2 quarts of soda, and 4 pints of sherbet. What is the total volume of the punch in quarts?
A.6 quarts
B.7 quarts
C.8 quarts
D.10 quarts
Challenging
A rectangular room has a length of 5 yards and a width of 12 feet. What is the area of the room in square feet?
A.60 square feet
B.180 square feet
C.240 square feet
D.36 square feet
Challenging
A can holds 12 fluid ounces of soda. If a case contains 24 cans, what is the total volume of soda in the case, in quarts?
A.4.5 quarts
B.6 quarts
C.9 quarts
D.12 quarts
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