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← Class 6 unitsComputational Thinking

Class 6

Chapter 1: Patterns in Mathematics

Many number sequences follow a rule — add a constant, multiply by a constant, or follow a more complex pattern (like squares or triangular numbers). Spotting the rule lets us predict what comes next.

Learning outcomes

  • Recognise and describe number patterns
  • Predict the next term using a rule

Activities

  • Build patterns with dot diagrams

Worked examples

Read through these first, then try the practice below.

  1. Example 1 — Triangular numbers

    1, 3, 6, 10, 15, ? — what comes next?

    Solution: Differences are 2, 3, 4, 5; the next difference is 6. So 15 + 6 = 21.

  2. Example 2 — Square numbers

    1, 4, 9, 16, ? — what is the next number?

    Solution: These are 1², 2², 3², 4². Next is 5² = 25.

Self-do practice

Question 1 of 3 · Score 0/0

What comes next? 2, 4, 8, 16, ?

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