Teacher guide · Think Lab · Medium · about 30 min

🔁 Build the Sequence

Pupils practise problem solving through "Build the Sequence": What comes next — and why.

Lesson guide

  1. 1. Hook · 5 min

    Show the 🔁 mission title and read the opening: "2, 4, 8, 16, … what's next?". Take three quick guesses.

  2. 2. Model · 5 min

    Think aloud through the first step together. Use Cog the Owl's line as your prompt: "Good thinking. Show me the why."

  3. 3. Do · 10 min

    Pairs work through the 3 steps on screen or on the printed sheet. Circulate and ask "why?"

  4. 4. Discuss · 10 min

    Use two or three of the discussion questions. Ask pairs to share different answers, not just correct ones.

  5. 5. Reflect · 5 min

    Exit ticket: one sentence on how they used problem solving today.

Discussion questions

  • What was the hardest choice in "Build the Sequence", and why?
  • 2, 4, 8, 16, … what's next — explain your reasoning to a partner.
  • Invent your own sequence and explain the rule — explain your reasoning to a partner.
  • Where could you use problem solving outside school this week?
  • If you did this again, what would you change?

Adapting it

Support: Read prompts aloud, pair with a confident partner, and accept spoken or drawn answers for writing steps.

Stretch: Ask pupils to create their own extra step for a partner and explain the correct answer.

Curriculum links

  • National Curriculum: Maths: reasoning mathematically and problem solving
  • National Curriculum: Computing: logical reasoning and algorithms
  • PSHE: Living in the wider world: making decisions and evaluating choices

Pupil sheet

🔁 Build the Sequence

Name: ____________________   Date: __________

  1. 1. 2, 4, 8, 16, … what's next?

    ☐ 18

    ☐ 32

    ☐ 24

  2. 2. Put this pattern back in order.

    ___ 1

    ___ 10

    ___ 15

    ___ 3

    ___ 6

  3. 3. Invent your own sequence and explain the rule.