Mathematics · Year 3

Active learning ideas

Calculating Durations of Time

Active learning works for calculating durations of time because students need to physically manipulate clocks and timelines to grasp the abstract concept of time passing. Hands-on activities help them connect the movement of clock hands to numerical calculations, making the process concrete and memorable.

• National Curriculum Attainment Targets
• KS2: Mathematics - Measurement

• 15–45 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Four Corners
• 20 min · Pairs

Pairs: Clock Adjustment Races

Provide pairs with analogue clock models and duration cards. One partner sets the start time; the other adds the duration by moving hands and minutes on a number line. Partners check answers together, then switch roles for three rounds.

Explain how to find the duration of an event that starts at 9:15 AM and ends at 10:30 AM.

Facilitation Tip

During Clock Adjustment Races, circulate and ask pairs to verbalize each step aloud, such as 'The minute hand moves from 15 to 30, so that’s 15 minutes, plus the hour moves to 10, making 1 hour 15 minutes total.'

What to look for

Provide students with a card showing a start time and an end time (e.g., 10:10 AM to 11:25 AM). Ask them to write down the duration of this event and explain one step they took to find it.

• Understand
• Analyze
• Evaluate
• Self-Awareness
• Social Awareness

Activity 02

• Four Corners
• 30 min · Small Groups

Small Groups: Personal Timeline Projects

Groups list five daily events on paper strips, arrange them on a shared timeline, and calculate durations between each. They label times with hours and minutes, then present one total day duration to the class.

Predict the end time of an activity that lasts 45 minutes and starts at 2:00 PM.

Facilitation Tip

In Personal Timeline Projects, provide a checklist of required elements like event labels, start and end times, and duration calculations to keep students on track.

What to look for

Pose a problem: 'A film starts at 3:00 PM and lasts for 1 hour and 30 minutes. What time does it finish?' Observe students' methods for adding the duration to the start time.

• Understand
• Analyze
• Evaluate
• Self-Awareness
• Social Awareness

Activity 03

• Four Corners
• 45 min · Whole Class

Whole Class: School Day Simulation

Act out a school timetable as a class, with the teacher calling start times for activities. Students track durations on individual sheets, pausing midway to share predictions for end times and verify with class clocks.

Construct a timeline to represent a sequence of events and their durations.

Facilitation Tip

For the School Day Simulation, assign clear roles such as timekeeper, event recorder, and duration calculator to ensure every student participates meaningfully.

What to look for

Ask students to describe how they would find out how long a school break is if it starts at 10:45 AM and ends at 11:00 AM. Encourage them to use vocabulary like 'duration' and 'time interval'.

• Understand
• Analyze
• Evaluate
• Self-Awareness
• Social Awareness

Activity 04

• Four Corners
• 15 min · Individual

Individual: Duration Puzzle Cards

Distribute cards with start times, end times, or durations missing. Students solve independently using mini clocks, then pair up briefly to explain one solution aloud.

Explain how to find the duration of an event that starts at 9:15 AM and ends at 10:30 AM.

What to look for

Provide students with a card showing a start time and an end time (e.g., 10:10 AM to 11:25 AM). Ask them to write down the duration of this event and explain one step they took to find it.

• Understand
• Analyze
• Evaluate
• Self-Awareness
• Social Awareness

A few notes on teaching this unit

Teachers should start with analogue clocks to build foundational understanding before introducing digital times, as the visual movement of hands helps students internalize time intervals. Avoid rushing to abstract methods; instead, use guided questions to prompt students to explain their reasoning step-by-step. Research suggests that students benefit from repeated practice with real-world contexts, such as school schedules, to solidify their understanding of time durations.

Successful learning looks like students confidently adjusting analogue and digital clocks, sequencing events on timelines with labeled durations, and explaining their reasoning aloud. They should move from relying on visual aids to performing mental calculations for familiar time intervals.

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Watch Out for These Misconceptions

• During Clock Adjustment Races, watch for students who do not advance the hour hand after the minute hand completes a full rotation.

  Have students reset the clock to 9:15 AM and model adding 15 minutes, then ask them to observe and describe what happens to the hour hand when the minute hand reaches 60.

• During Personal Timeline Projects, watch for students who subtract times without considering the sequence of events.

  Prompt students to place sticky notes on the timeline in order and ask, 'What happens right before this event? How long is the gap between these two?' to reinforce forward calculation.

• During School Day Simulation, watch for students who ignore AM/PM switches when calculating durations that cross noon.

  Use a large classroom clock to visibly show the switch from AM to PM, and have students verbally confirm each transition as they calculate durations.

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Methods used in this brief

• Four Corners