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MathematicsMathematical ThinkingAges 5–6

Finding efficient methods

Notice when a calculation or pattern repeats and use this to count more efficiently or predict results

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Use repeated number changes to predict rather than recount.

Activity

Can discuss the supplied example in an accessible mode; adapt directions without supplying the target answer.

Policy

Check the learner can follow the model with support before moving on. Source prerequisite ordering is not learner mastery; return to prerequisite work when needed.

Use the small structured chart; its rows are a 1–100 chart convention, not a zero-start chart. Open S first, G together, then T alone; put S and G away before T. Keys stay adult-only. No purchase or printing is required; an unavailable physical observation remains pending, not passed.

Materials are ready in each step. Use them on screen or print just the current step. Put teaching examples aside before the learner tries.

What this lesson covers and its limits

These are bounded opportunities, not learner attainment. Partial and blocked source requirements remain so.

  • partial: Notice when a calculation or pattern repeats and use this to count more efficiently or predict results

    Canonical odd/even pattern clause is clarified: twos preserve parity, not alternate it. Efficiency on these examples is not general fluency.

  • partial: Notice that skip counting by 2s follows a repeating odd/even pattern

    Canonical odd/even pattern clause is clarified: twos preserve parity, not alternate it. Efficiency on these examples is not general fluency.

  • partial: Recognise that adding 1 to any number always gives the next counting number

    Canonical odd/even pattern clause is clarified: twos preserve parity, not alternate it. Efficiency on these examples is not general fluency.

  • partial: Use a repeated pattern (e.g. +10 on a hundred chart always moves down one row) to predict answers

    Canonical odd/even pattern clause is clarified: twos preserve parity, not alternate it. Efficiency on these examples is not general fluency.

  • partial: When {{name}} is counting or doing repeated additions, have they started to notice the pattern — like "5, 10, 15, 20…" — and used it to predict the next number without counting one by one?

    Canonical odd/even pattern clause is clarified: twos preserve parity, not alternate it. Efficiency on these examples is not general fluency.

  • Canonical odd/even pattern clause is clarified: twos preserve parity, not alternate it. Efficiency on these examples is not general fluency.

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Use repeated number changes to predict rather than recount.

Use repeated number changes to predict rather than recount.

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Check understanding

  • Notice that skip counting by 2s follows a repeating odd/even pattern
  • Recognise that adding 1 to any number always gives the next counting number
  • Use a repeated pattern (e.g. +10 on a hundred chart always moves down one row) to predict answers
“When your child is counting or doing repeated additions, have they started to notice the pattern — like "5, 10, 15, 20…" — and used it to predict the next number without counting one by one?”

Curriculum record

Type
Meta
Subject
Mathematics
Domain
Mathematical Thinking
Age range
Ages 5–6