Mathematics Grade 6 15 min

Convert between customary and metric units

Convert between customary and metric units

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1

Introduction & Learning Objectives

Learning Objectives Identify common customary units of length, weight, and capacity. Identify common metric units of length, mass, and capacity. Recall key approximate conversion factors between customary and metric units. Apply multiplication to convert a larger unit to a smaller unit. Apply division to convert a smaller unit to a larger unit. Solve real-world problems involving conversions between customary and metric units. Ever wonder how much a 'pint' of ice cream is in milliliters, or how many kilometers you've walked if you know the distance in miles? 🍦🚶‍♀️ In this lesson, you'll learn how to switch between two different systems of measurement: customary (like inches and pounds) and metric (like centimeters and kilograms). Understanding these co...
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Key Concepts & Vocabulary

TermDefinitionExample Customary UnitsA system of measurement primarily used in the United States, including units like inches, feet, miles (for length); ounces, pounds, tons (for weight); and cups, pints, quarts, gallons (for capacity).A person's height might be measured in feet and inches (e.g., 5 feet 4 inches). Metric UnitsA decimal-based system of measurement used by most countries worldwide, including units like millimeters, centimeters, meters, kilometers (for length); grams, kilograms (for mass); and milliliters, liters (for capacity).A bottle of water might contain 500 milliliters. Conversion FactorA ratio that relates two different units of measurement. It tells you how many of one unit are equal to another unit.The conversion factor between inches and centimeters is approxi...
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Core Formulas

Converting from a Larger Unit to a Smaller Unit `\text{Value in smaller unit} = \text{Value in larger unit} \times \text{Conversion Factor}` When you convert from a larger unit to a smaller unit (e.g., miles to kilometers, liters to milliliters), you will always multiply by the conversion factor. This makes sense because you'll need more of the smaller units to equal the same amount. Converting from a Smaller Unit to a Larger Unit `\text{Value in larger unit} = \text{Value in smaller unit} \div \text{Conversion Factor}` When you convert from a smaller unit to a larger unit (e.g., centimeters to inches, grams to pounds), you will always divide by the conversion factor. This makes sense because you'll need fewer of the larger units to equal the same amount. Using...

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Sample Practice Questions

Challenging
A rectangular garden is 10 feet wide and 5 meters long. What is the approximate area of the garden in square meters? (Use 1 foot ≈ 0.305 meters)
A.50 square meters
B.16.4 square meters
C.15.25 square meters
D.25.5 square meters
Challenging
A fish tank has a volume of 24,000 cubic centimeters (cm³). Approximately how many gallons of water can it hold? (Note: 1000 cm³ = 1 liter, and 1 gallon ≈ 3.785 liters)
A.90.84 gallons
B.6.34 gallons
C.24 gallons
D.63.4 gallons
Challenging
A baker needs 5 kilograms of sugar for a large order. The sugar is only sold in 2-pound bags. How many full bags must the baker buy to have enough sugar? (Use 1 kg ≈ 2.2 pounds)
A.4 bags
B.5 bags
C.3 bags
D.6 bags

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