AC9M5M03 • Year 5 Maths

AC9M5M03: Compare 12- and 24-hour time systems and solve practical problems involving the conversion between them

compare 12- and 24-hour time systems and solve practical problems involving the conversion between them

What students learn in AC9M5M03

Students convert times around noon and midnight, read schedules and calculate elapsed time using timelines while distinguishing a clock time from a duration.

In 24-hour time, hours after noon continue 13–23; midnight begins 00:00 and noon is 12:00.

For pm times after 12:59, add 12 to the hour. For 13:00–23:59, subtract 12 and label pm.

Do not subtract time digits as ordinary decimals. Bridge through whole hours and check whether the interval crosses noon or midnight.

Learning routine: Represent → Reason → Calculate → Interpret → Verify

Success looks like

  • Represent accurately
  • Explain the relationship
  • Choose a suitable method or unit
  • Apply in context
  • Check and justify
Key vocabulary
12-hour time
clock system using am and pm
24-hour time
clock system numbering hours from 00 to 23
duration
elapsed amount of time between events
Concept models and worked thinking

Convert between 12-hour and 24-hour notation

12-hour24-hour12:00 am00:007:05 am07:0512:00 pm12:003:40 pm15:4011:59 pm23:59

For pm times after 12:59, add 12 to the hour. For 13:00–23:59, subtract 12 and label pm.

  1. Read every label and identify the quantities, parts or evidence.
  2. Explain the relationship shown—not just the final answer.
  3. Check the conclusion against the original question and units.

Use timelines for schedule duration

depart 14:35→to 15:00: +25 min→to 17:00: +2 h→arrive 17:18: +18 min→duration 2 h 43 min

Do not subtract time digits as ordinary decimals. Bridge through whole hours and check whether the interval crosses noon or midnight.

Now transfer the same relationship to a new situation and justify the result with precise vocabulary.

Curriculum coverage and elaborations

Content description: compare 12- and 24-hour time systems and solve practical problems involving the conversion between them.

  • E1: using timetables written in 24-hour time, such as flight schedules, to plan an overseas or interstate trip, converting between 24- and 12-hour time
  • E2: converting between the digital and analog representation of 24-hour time, matching the same times represented in both systems; setting the time on an analog watch using a digital alarm clock
Guided learning activities

1. Model and annotate

Represent 12-hour and 24-hour time and label the relationship or measurement being used.

12-hour24-hour12:00 am00:007:05 am07:0512:00 pm12:003:40 pm15:4011:59 pm23:59

2. Strategy or instrument comparison

Compare two valid methods or tools and justify which better suits the numbers, attribute or purpose.

depart 14:35→to 15:00: +25 min→to 17:00: +2 h→arrive 17:18: +18 min→duration 2 h 43 min

3. Transfer and verify

Apply the concept to an unfamiliar example, state units or conditions and verify independently.

Convert 3:40 pm.Convert 00:25.Explain noon and midnight.Find 14:35 to 17:18.
Revision Notes

Core idea: In 24-hour time, hours after noon continue 13–23; midnight begins 00:00 and noon is 12:00.

Remember

  • Represent accurately
  • Explain the relationship
  • Choose a suitable method or unit
  • Apply in context
  • Check and justify

Important questions

  • Convert 3:40 pm. Explain using the model or evidence above.
  • Convert 00:25. Explain using the model or evidence above.
  • Explain noon and midnight. Explain using the model or evidence above.
  • Find 14:35 to 17:18. Explain using the model or evidence above.
  • Read a timetable. Explain using the model or evidence above.
How to use this unit

Learn from the Topic Guide and fixed Teacher Slides, complete the Practice Sheet, use Practice for supported feedback, then take the Test when ready.

AC9M5M03 Teacher Slides

Project the fixed branded slide deck one slide at a time.

Open Classroom View
Common misconceptions
  • 12 am and 12 pm reversed — 12 am is midnight; 12 pm is noon.
  • Add 12 to every pm hour — Do not add 12 to 12 pm.
  • Minutes treated as hundredths — An hour has 60 minutes.
  • Leading zero omitted in formal 24-hour time — Write 07:05 for schedule clarity.
🎥 Optional Video Lesson

The SkillrHub lesson remains the primary learning resource. This optional video reinforces the explanation; you can complete the lesson and practice without watching.

Back to the lesson

Before you watch:

  • Pause after each worked example.
  • Try the examples yourself.
  • Return to the SkillrHub lesson before continuing.
Recommended: The 24-Hour Clock

Periwinkle — Read 24-hour times and compare them with morning and afternoon 12-hour times.

As you watch: Why is 15:30 an afternoon time, and what is its 12-hour equivalent?

Load video player Loads YouTube in this lesson. See the video notice below.

Try it: Convert 07:45, 13:20 and 22:05 to 12-hour time; then write 6:15 pm in 24-hour form.

Video unavailable, inaccurate or unsuitable for this year? Report a video problem to SkillrHub by email. You can continue with the written lesson and practice resources.

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Curriculum equivalents: Victoria, NSW and international

Curriculum equivalents for 12- and 24-hour time systems and solve practical problems involving...

Mapped skill: compare 12- and 24-hour time systems and solve practical problems involving the conversion between them

These references identify matching or closely related learning. Curriculum sequence, terminology and depth vary, so teachers should use the mapped skill and lesson difficulty to confirm suitability.

RegionCurriculum frameworkClosest level or code
AustraliaAustralian Curriculum v9.0AC9M5M03 · Year 5
VictoriaVictorian Curriculum F–10 Version 2.0 — MathematicsVC2M5M03 · Level 5
New South WalesNSW Mathematics K–10 Syllabus (2022)MA3-NSM-02 · Stage 3
United States (USA)Common Core State Standards for MathematicsGrade 5
Canada (Ontario)Ontario Curriculum — MathematicsGrade 5
United Kingdom (England)National Curriculum in England — MathematicsYear 6, Key Stage 2
IndiaNCERT / CBSE — MathematicsClass 5

Australian Curriculum v9.0 is the canonical source for this SkillrHub lesson. Victoria and NSW entries name the closest published state codes or outcomes; international entries are planning references rather than claims of identical curricula.

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Topic reference: AC9M5M03 — AC9M5M03: Compare 12- and 24-hour time systems and solve practical problems involving the conversion between them

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Official curriculum reference
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