Learn on PengienVision, Mathematics, Grade 5Chapter 12: Convert Measurements

Lesson 8: Solve Word Problems Using Measurement Conversions

In this Grade 5 lesson from enVision Mathematics Chapter 12, students learn to solve multi-step real-world word problems by converting between units of measurement such as yards to feet, quarts to cups, and pounds to ounces. Students practice converting unlike units to like units before applying formulas like the perimeter formula to find solutions. The lesson builds skills in recognizing when a conversion is needed and choosing the appropriate operation — multiplying to convert from larger to smaller units — within practical contexts like garden edging, ribbon length, and pool dimensions.

Section 1

Perform Operations with Like Units

Property

To add, subtract, or compare measurements, they must first be expressed in a common unit. The process is:

  1. Convert one or more measurements to a shared unit.
  2. Perform the required operation (e.g., addition, subtraction, comparison) on the converted values.

Examples

Section 2

Solve Multi-Step Measurement Word Problems

Property

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.

Examples

  • A recipe calls for 1121\frac{1}{2} pounds of potatoes and 12 ounces of carrots. How many ounces of vegetables are needed in total? (1 lb = 16 oz)
112 lb=32×16 oz=24 oz1\frac{1}{2} \text{ lb} = \frac{3}{2} \times 16 \text{ oz} = 24 \text{ oz}
24 oz+12 oz=36 oz24 \text{ oz} + 12 \text{ oz} = 36 \text{ oz}
  • A ribbon is 5 meters long. If you cut off a piece that is 75 centimeters long, how many centimeters of ribbon are left? (1 m = 100 cm)
5 m=5×100 cm=500 cm5 \text{ m} = 5 \times 100 \text{ cm} = 500 \text{ cm}
500 cm75 cm=425 cm500 \text{ cm} - 75 \text{ cm} = 425 \text{ cm}

Explanation

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

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Chapter 12: Convert Measurements

  1. Lesson 1

    Lesson 1: Convert Customary Units of Length

  2. Lesson 2

    Lesson 2: Convert Customary Units of Capacity

  3. Lesson 3

    Lesson 3: Convert Customary Units of Weight

  4. Lesson 4

    Lesson 4: Convert Metric Units of Length

  5. Lesson 5

    Lesson 5: Convert Metric Units of Capacity

  6. Lesson 6

    Lesson 6: Convert Metric Units of Mass

  7. Lesson 7

    Lesson 7: Convert Units of Time

  8. Lesson 8Current

    Lesson 8: Solve Word Problems Using Measurement Conversions

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Perform Operations with Like Units

Property

To add, subtract, or compare measurements, they must first be expressed in a common unit. The process is:

  1. Convert one or more measurements to a shared unit.
  2. Perform the required operation (e.g., addition, subtraction, comparison) on the converted values.

Examples

Section 2

Solve Multi-Step Measurement Word Problems

Property

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.

Examples

  • A recipe calls for 1121\frac{1}{2} pounds of potatoes and 12 ounces of carrots. How many ounces of vegetables are needed in total? (1 lb = 16 oz)
112 lb=32×16 oz=24 oz1\frac{1}{2} \text{ lb} = \frac{3}{2} \times 16 \text{ oz} = 24 \text{ oz}
24 oz+12 oz=36 oz24 \text{ oz} + 12 \text{ oz} = 36 \text{ oz}
  • A ribbon is 5 meters long. If you cut off a piece that is 75 centimeters long, how many centimeters of ribbon are left? (1 m = 100 cm)
5 m=5×100 cm=500 cm5 \text{ m} = 5 \times 100 \text{ cm} = 500 \text{ cm}
500 cm75 cm=425 cm500 \text{ cm} - 75 \text{ cm} = 425 \text{ cm}

Explanation

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

Chapter 12: Convert Measurements

  1. Lesson 1

    Lesson 1: Convert Customary Units of Length

  2. Lesson 2

    Lesson 2: Convert Customary Units of Capacity

  3. Lesson 3

    Lesson 3: Convert Customary Units of Weight

  4. Lesson 4

    Lesson 4: Convert Metric Units of Length

  5. Lesson 5

    Lesson 5: Convert Metric Units of Capacity

  6. Lesson 6

    Lesson 6: Convert Metric Units of Mass

  7. Lesson 7

    Lesson 7: Convert Units of Time

  8. Lesson 8Current

    Lesson 8: Solve Word Problems Using Measurement Conversions