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

Lesson 1: Convert Customary Units of Length

In this Grade 5 enVision Mathematics lesson from Chapter 12, students learn how to convert customary units of length, including inches, feet, yards, and miles. They practice multiplying to convert larger units to smaller units and dividing to convert smaller units to larger units, working with both whole numbers and fractions. The lesson uses bar diagrams and number lines to help students understand the relationships between units.

Section 1

English Units of Length

Property

Units of length:

1 foot=12 inches1 \text{ foot} = 12 \text{ inches}
1 yard=3 feet1 \text{ yard} = 3 \text{ feet}
1 mile=5280 feet1 \text{ mile} = 5280 \text{ feet}

A conversion factor is a fraction equal to 1, such as 3 feet1 yard\frac{3 \text{ feet}}{1 \text{ yard}}. We choose the factor that cancels the old units and leaves the new ones. Such conversion factors are also called unit fractions.

Examples

  • A person is 5 feet 4 inches tall. To express this in inches, calculate 5×12+4=645 \times 12 + 4 = 64 inches.
  • A piece of fabric is 90 inches long. To find its length in feet, you divide: 9012=7.5\frac{90}{12} = 7.5 feet.

Section 2

Reasoning About Unit Conversions

Property

  • When converting from a larger unit to a smaller unit, the number of units will increase, so you multiply.
  • When converting from a smaller unit to a larger unit, the number of units will decrease, so you divide.

Examples

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Chapter 12: Convert Measurements

  1. Lesson 1Current

    Lesson 1: Convert Customary Units of Length

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  2. Lesson 2

    Lesson 2: Convert Customary Units of Capacity

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  3. Lesson 3

    Lesson 3: Convert Customary Units of Weight

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  4. Lesson 4

    Lesson 4: Convert Metric Units of Length

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  5. Lesson 5

    Lesson 5: Convert Metric Units of Capacity

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  6. Lesson 6

    Lesson 6: Convert Metric Units of Mass

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  7. Lesson 7

    Lesson 7: Convert Units of Time

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  8. Lesson 8

    Lesson 8: Solve Word Problems Using Measurement Conversions

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Lesson overview

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Section 1

English Units of Length

Property

Units of length:

1 foot=12 inches1 \text{ foot} = 12 \text{ inches}
1 yard=3 feet1 \text{ yard} = 3 \text{ feet}
1 mile=5280 feet1 \text{ mile} = 5280 \text{ feet}

A conversion factor is a fraction equal to 1, such as 3 feet1 yard\frac{3 \text{ feet}}{1 \text{ yard}}. We choose the factor that cancels the old units and leaves the new ones. Such conversion factors are also called unit fractions.

Examples

  • A person is 5 feet 4 inches tall. To express this in inches, calculate 5×12+4=645 \times 12 + 4 = 64 inches.
  • A piece of fabric is 90 inches long. To find its length in feet, you divide: 9012=7.5\frac{90}{12} = 7.5 feet.

Section 2

Reasoning About Unit Conversions

Property

  • When converting from a larger unit to a smaller unit, the number of units will increase, so you multiply.
  • When converting from a smaller unit to a larger unit, the number of units will decrease, so you divide.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 12: Convert Measurements

  1. Lesson 1Current

    Lesson 1: Convert Customary Units of Length

    LearnPractice
  2. Lesson 2

    Lesson 2: Convert Customary Units of Capacity

    LearnPractice
  3. Lesson 3

    Lesson 3: Convert Customary Units of Weight

    LearnPractice
  4. Lesson 4

    Lesson 4: Convert Metric Units of Length

    LearnPractice
  5. Lesson 5

    Lesson 5: Convert Metric Units of Capacity

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  6. Lesson 6

    Lesson 6: Convert Metric Units of Mass

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  7. Lesson 7

    Lesson 7: Convert Units of Time

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  8. Lesson 8

    Lesson 8: Solve Word Problems Using Measurement Conversions

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