Learn on PengiPengi Math (Grade 4)Chapter 9: Measurement, Data & Real-World Math

Lesson 4: Time: Conversions & Operations

In this Grade 4 lesson from Pengi Math Chapter 9, students learn to convert units of time — hours, minutes, and seconds — using conversion tables, and practice adding and subtracting mixed units of time to solve elapsed time problems. They apply the RDW (Read, Draw, Write) process and use tape diagrams to work through complex multi-step word problems involving measurement.

Section 1

Time Conversions: Hours, Minutes, and Seconds

Property

The standard units of time are related by factors of 60.

  • 1 hour=60 minutes1 \text{ hour} = 60 \text{ minutes}
  • 1 minute=60 seconds1 \text{ minute} = 60 \text{ seconds}

Examples

  • To convert 4 hours to minutes, you multiply by 60: 4 hours×60=240 minutes4 \text{ hours} \times 60 = 240 \text{ minutes}.
  • To convert 180 seconds to minutes, you divide by 60: 180 seconds÷60=3 minutes180 \text{ seconds} \div 60 = 3 \text{ minutes}.
  • To convert 2.5 minutes to seconds, you multiply by 60: 2.5 minutes×60=150 seconds2.5 \text{ minutes} \times 60 = 150 \text{ seconds}.

Explanation

This skill covers the basic conversions between hours, minutes, and seconds. To convert a larger unit of time (like hours) to a smaller unit (like minutes), you multiply by 60. To convert a smaller unit (like seconds) to a larger unit (like minutes), you divide by 60. Mastering these conversions is a key first step for solving multi-step problems involving time.

Section 2

Solving Time Word Problems

Property

To solve time word problems, a common strategy is to convert all given times into the same, smaller unit. For example, convert all hours and minutes into just minutes. After converting, perform the required arithmetic operations like addition or subtraction.

Examples

A movie lasts 2 hours and 15 minutes. How long is the movie in minutes?

  • First, convert hours to minutes:
2 hours=2×60=120 minutes2 \text{ hours} = 2 \times 60 = 120 \text{ minutes}

Book overview

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Chapter 9: Measurement, Data & Real-World Math

  1. Lesson 1

    Lesson 1: Data Representation: Line Plots & Fractions

  2. Lesson 2

    Lesson 2: The Metric System: Conversions & Operations

  3. Lesson 3

    Lesson 3: The Customary System: Conversions & Operations

  4. Lesson 4Current

    Lesson 4: Time: Conversions & Operations

  5. Lesson 5

    Lesson 5: Geometric Measurement: Area & Perimeter

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Time Conversions: Hours, Minutes, and Seconds

Property

The standard units of time are related by factors of 60.

  • 1 hour=60 minutes1 \text{ hour} = 60 \text{ minutes}
  • 1 minute=60 seconds1 \text{ minute} = 60 \text{ seconds}

Examples

  • To convert 4 hours to minutes, you multiply by 60: 4 hours×60=240 minutes4 \text{ hours} \times 60 = 240 \text{ minutes}.
  • To convert 180 seconds to minutes, you divide by 60: 180 seconds÷60=3 minutes180 \text{ seconds} \div 60 = 3 \text{ minutes}.
  • To convert 2.5 minutes to seconds, you multiply by 60: 2.5 minutes×60=150 seconds2.5 \text{ minutes} \times 60 = 150 \text{ seconds}.

Explanation

This skill covers the basic conversions between hours, minutes, and seconds. To convert a larger unit of time (like hours) to a smaller unit (like minutes), you multiply by 60. To convert a smaller unit (like seconds) to a larger unit (like minutes), you divide by 60. Mastering these conversions is a key first step for solving multi-step problems involving time.

Section 2

Solving Time Word Problems

Property

To solve time word problems, a common strategy is to convert all given times into the same, smaller unit. For example, convert all hours and minutes into just minutes. After converting, perform the required arithmetic operations like addition or subtraction.

Examples

A movie lasts 2 hours and 15 minutes. How long is the movie in minutes?

  • First, convert hours to minutes:
2 hours=2×60=120 minutes2 \text{ hours} = 2 \times 60 = 120 \text{ minutes}

Book overview

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

Continue this chapter

Chapter 9: Measurement, Data & Real-World Math

  1. Lesson 1

    Lesson 1: Data Representation: Line Plots & Fractions

  2. Lesson 2

    Lesson 2: The Metric System: Conversions & Operations

  3. Lesson 3

    Lesson 3: The Customary System: Conversions & Operations

  4. Lesson 4Current

    Lesson 4: Time: Conversions & Operations

  5. Lesson 5

    Lesson 5: Geometric Measurement: Area & Perimeter