Mathematics Grade 6 15 min

Unit prices with customary unit conversions

Unit prices with customary unit conversions

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Introduction & Learning Objectives

Learning Objectives Define unit price and explain its importance in consumer decisions. Identify common customary units of measurement for weight, length, and capacity. Accurately convert between different customary units (e.g., pounds to ounces, feet to inches, gallons to quarts). Calculate the unit price of an item when given its total cost and quantity, including quantities that require conversion. Compare the unit prices of two or more items to determine the 'best buy'. Apply unit price calculations to real-world shopping scenarios to make informed purchasing choices. Have you ever wondered which size of your favorite snack is the best deal at the store? 🧐 Let's learn how to find out! In this lesson, you'll discover how to be a smart shopper by unde...
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Key Concepts & Vocabulary

TermDefinitionExample Unit PriceThe cost of a single unit of an item. It tells you how much you pay for one ounce, one pound, one foot, etc.If a 10-ounce bag of chips costs $2.50, the unit price is $0.25 per ounce. Customary UnitsThe system of measurement commonly used in the United States, including units like inches, feet, yards, miles, ounces, pounds, tons, cups, pints, quarts, and gallons.Measuring your height in feet and inches, or buying fruit by the pound. Conversion FactorA ratio used to convert a quantity from one unit to another. It represents the relationship between two units.The conversion factor for pounds to ounces is 16 ounces / 1 pound. RatioA comparison of two quantities by division. Unit prices are a type of ratio.The ratio of 3 apples to 2 bananas can be written as 3:2...
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Core Formulas

Calculating Unit Price \text{Unit Price} = \frac{\text{Total Cost}}{\text{Total Quantity}} To find the unit price, always divide the total cost of an item by its total quantity. Ensure the quantity is in the desired single unit. Customary Unit Conversion (Larger to Smaller) \text{Quantity in Smaller Unit} = \text{Quantity in Larger Unit} \times \text{Conversion Factor} When converting from a larger unit to a smaller unit (e.g., pounds to ounces, feet to inches), multiply the quantity by the appropriate conversion factor. Customary Unit Conversion (Smaller to Larger) \text{Quantity in Larger Unit} = \frac{\text{Quantity in Smaller Unit}}{\text{Conversion Factor}} When converting from a smaller unit to a larger unit (e.g., ounces to pounds, inches to feet), divide the...

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Sample Practice Questions

Challenging
A bulk bin of walnuts is priced at $0.40 per ounce. If you paid $9.60 for a bag of walnuts from this bin, how many pounds did you buy? (1 lb = 16 oz)
A.1.5 pounds
B.24 pounds
C.3.84 pounds
D.0.6 pounds
Challenging
Which is the better value for buying grass seed? Option A: A 3.5-pound bag for $16.80. Option B: A 60-ounce bag for $18.60. (1 lb = 16 oz)
A.The 3.5-pound bag.
B.The 60-ounce bag.
C.They are the same value.
D.The value cannot be determined.
Challenging
A recipe requires 5 feet of kitchen twine. The store sells a 2-yard package for $2.16 and a 70-inch package for $2.10. Both packages provide enough twine. Which package has the lower unit price per inch? (1 yd = 36 in, 1 ft = 12 in)
A.The 2-yard package.
B.The 70-inch package.
C.Both packages have the same unit price.
D.The package with the lower total cost.

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