In this Grade 5 Eureka Math lesson from Chapter 23, students learn to convert mixed unit measurements across customary units such as feet, inches, yards, cups, pints, quarts, and gallons, and apply those conversions to solve multi-step word problems. Students practice expressing measurements as fractions of larger units and use multiplication of fractions and whole numbers to reason through real-world scenarios. The lesson builds fluency with unit conversions while reinforcing decimal multiplication skills introduced earlier in the chapter.
Section 1
Convert Mixed Number Measurements to Smaller Units
To convert a mixed number measurement from a larger unit to a smaller unit, first change the mixed number to an improper fraction. Then, multiply the improper fraction by the conversion factor , where is the number of smaller units in one larger unit.
Section 2
Convert Smaller Units to Larger Units Using Fractions
To convert a measurement from a smaller unit to a larger unit, multiply the number of smaller units by the unit fraction that represents the conversion factor.
Section 3
Solve Multi-Step Measurement Word Problems
To solve a multi-step measurement problem, first identify the units involved.
Convert all measurements to a common unit, which may require one or more conversion steps.
Then, perform the necessary calculations (addition, subtraction, multiplication, or division) to find the final answer.
Solving multi-step word problems involves combining measurement conversion with other mathematical operations. The key is to first convert all quantities to a single, common unit before adding or subtracting. This often means changing a larger unit to a smaller unit (like pounds to ounces) to make the calculation straightforward. After converting, you can solve the problem by performing the operation described in the word problem.
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Section 1
Convert Mixed Number Measurements to Smaller Units
To convert a mixed number measurement from a larger unit to a smaller unit, first change the mixed number to an improper fraction. Then, multiply the improper fraction by the conversion factor , where is the number of smaller units in one larger unit.
Section 2
Convert Smaller Units to Larger Units Using Fractions
To convert a measurement from a smaller unit to a larger unit, multiply the number of smaller units by the unit fraction that represents the conversion factor.
Section 3
Solve Multi-Step Measurement Word Problems
To solve a multi-step measurement problem, first identify the units involved.
Convert all measurements to a common unit, which may require one or more conversion steps.
Then, perform the necessary calculations (addition, subtraction, multiplication, or division) to find the final answer.
Solving multi-step word problems involves combining measurement conversion with other mathematical operations. The key is to first convert all quantities to a single, common unit before adding or subtracting. This often means changing a larger unit to a smaller unit (like pounds to ounces) to make the calculation straightforward. After converting, you can solve the problem by performing the operation described in the word problem.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter