Grade 4 - Mathematics
Topic: Converting Units of Time
Name: _________________________
Date: _________________________
Score: _________________________
Remember: 1 hour = 60 minutes, 1 minute = 60 seconds, 1 day = 24 hours
Rule: Big to Small = Multiply, Small to Big = Divide
Check: Always verify your answers by converting back!
How many minutes are in 5 hours?
- Identify the relationship: 1 hour = 60 minutes
- Multiply by the conversion factor
- Calculate: 5 × 60 = 300 minutes
- Verify: 300 ÷ 60 = 5 hours ✓
How many minutes altogether?
- Convert hours to minutes: 3 × 60 = 180 minutes
- Add the extra minutes: 180 + 45 = 225 minutes
- Verify: 225 ÷ 60 = 3.75 hours = 3 hours 45 minutes ✓
Express as mixed units.
- Divide by 60: 265 ÷ 60 = 4 remainder 25
- Quotient = complete minutes: 4 minutes
- Remainder = leftover seconds: 25 seconds
- Verify: (4 × 60) + 25 = 265 seconds ✓
Convert Hours to Minutes
1. 6 hours = _______ minutes
2. 8 hours = _______ minutes
3. 4 hours = _______ minutes
4. 9 hours = _______ minutes
5. 7 hours = _______ minutes
Convert Minutes to Hours
6. 240 minutes = _______ hours
7. 480 minutes = _______ hours
8. 300 minutes = _______ hours
9. 360 minutes = _______ hours
10. 180 minutes = _______ hours
Convert Seconds to Minutes
11. 240 seconds = _______ minutes
12. 480 seconds = _______ minutes
13. 300 seconds = _______ minutes
14. 360 seconds = _______ minutes
15. 180 seconds = _______ minutes
Convert Mixed Units to Single Unit
16. 2 hours 30 minutes = _______ minutes
17. 4 hours 45 minutes = _______ minutes
18. 1 hour 15 minutes = _______ minutes
19. 3 hours 20 minutes = _______ minutes
20. 5 hours 10 minutes = _______ minutes
Convert Single Unit to Mixed Units
21. 150 minutes = _______ hours _______ minutes
22. 200 minutes = _______ hours _______ minutes
23. 100 minutes = _______ hours _______ minutes
24. 175 minutes = _______ hours _______ minutes
25. 225 minutes = _______ hours _______ minutes
Time Unit: A standardized quantity used to measure duration (seconds, minutes, hours, days)
Conversion: Changing from one unit to another while keeping the same amount of time
Base 60 System: Time uses 60 as the base for minutes and seconds (not 10 like other measurements)
Relationship: A connection between two quantities that shows how they relate to each other
Factor: A number that divides another number evenly
Multiplication: The operation of repeated addition
Division: The operation of splitting into equal groups
Mixed Units: Expressing time using more than one unit (e.g., 2 hours 30 minutes)
Remainder: What's left over after division (used when converting to mixed units)
Quotient: The result of division (the whole number part)
Dividend: The number being divided
Divisor: The number by which we divide
• Big to Small: Multiply by the conversion factor (Hours → Minutes → Seconds)
• Small to Big: Divide by the conversion factor (Seconds → Minutes → Hours)
• Verification: Always check your answer by converting back to the original unit
• Relationships: 1 minute = 60 seconds, 1 hour = 60 minutes, 1 day = 24 hours
• Direction Matters: The operation depends on whether you're going from big to small or small to big
• Mixed Units: Convert the larger unit first, then combine with the smaller unit
• Division with Remainder: Quotient = complete larger units, Remainder = leftover smaller units
Basic Conversions:
- Identify: Determine what units you're converting from and to
- Recall: Remember the conversion factor (60, 24, 7, etc.)
- Decide: Choose multiply or divide based on direction (big→small: multiply, small→big: divide)
- Calculate: Perform the mathematical operation carefully
- Verify: Check by converting back to ensure accuracy
Mixed Unit Conversions:
- Separate: Identify each unit in the mixed format
- Convert: Change the larger unit to the target unit
- Add: Combine with any remaining smaller units
- Simplify: If needed, regroup into larger units
- Verify: Check by converting back
Converting to Mixed Units:
- Divide: Divide the total by the conversion factor
- Find Quotient: This gives the number of complete larger units
- Find Remainder: This gives the leftover smaller units
- Express: Write as mixed units (e.g., 3 hours 15 minutes)
- Verify: Check by converting back
Simple Examples (Single Step):
- 1 hour = 60 minutes (1 × 60 = 60)
- 3 minutes = 180 seconds (3 × 60 = 180)
- 240 minutes = 4 hours (240 ÷ 60 = 4)
- 300 seconds = 5 minutes (300 ÷ 60 = 5)
Intermediate Examples (Mixed Units):
- 2 hours 30 minutes = 150 minutes ((2 × 60) + 30 = 150)
- 150 minutes = 2 hours 30 minutes (150 ÷ 60 = 2 remainder 30)
- 5 minutes 45 seconds = 345 seconds ((5 × 60) + 45 = 345)
- 345 seconds = 5 minutes 45 seconds (345 ÷ 60 = 5 remainder 45)
Advanced Examples (Word Problems):
- If a movie is 2 hours 45 minutes long, how many minutes is that? ((2 × 60) + 45 = 165 minutes)
- If you have 375 minutes, how many hours and minutes is that? (375 ÷ 60 = 6 hours 15 minutes)
- How many seconds are in 4 minutes 20 seconds? ((4 × 60) + 20 = 260 seconds)
Questions & Answers
Question: How can I effectively use this worksheet in my classroom for grade 4 students?
Answer: Here are effective strategies for using this worksheet:
- Introduction: Review the key concepts and examples as a class
- Guided Practice: Work through the first few problems together
- Independent Work: Allow students to complete the rest individually
- Peer Review: Have students check each other's work
- Assessment: Use the answer key to check understanding
- Extension: Challenge advanced students with word problems
The worksheet includes a complete learning summary for review and reference.
Question: How can I help my child work through this worksheet at home?
Answer: Here are helpful strategies:
- Review Concepts: Go through the definitions and rules together
- Start Simple: Begin with easier problems to build confidence
- Use Visuals: Draw number lines or use manipulatives
- Check Answers: Verify each answer before moving to the next
- Relate to Life: Connect problems to real-world situations
- Be Patient: Allow time for understanding and practice
The complete learning summary provides additional support for review.
Question: I'm having trouble with mixed units like "3 hours 45 minutes". How do I convert these?
Answer: Here's the step-by-step process for mixed units:
- Convert the larger unit: Change hours to minutes (3 hours × 60 = 180 minutes)
- Add the smaller unit: Add the extra minutes (180 + 45 = 225 minutes)
- Combine: The total is 225 minutes
To convert back: Divide the total by 60 (225 ÷ 60 = 3 remainder 45), so 3 hours 45 minutes.
Always verify: (3 × 60) + 45 = 225 minutes ✓