Teacher guide · Think Lab · Medium · about 30 min

⚖️ Balance the Scale

Pupils practise problem solving through "Balance the Scale": Weight puzzles — test until both sides match.

Lesson guide

  1. 1. Hook · 5 min

    Show the ⚖️ mission title and read the opening: "Weigh things up.". 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 "Balance the Scale", and why?
  • How many grapes balance 1 pear — explain your reasoning to a partner.
  • Explain how you worked it out — 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

⚖️ Balance the Scale

Name: ____________________   Date: __________

  1. 1. Weigh things up.

    Clue — Weigh 1: 1 apple balances 3 grapes.

    Clue — Weigh 2: 1 pear balances 2 apples.

  2. 2. How many grapes balance 1 pear?

    ☐ 5

    ☐ 6

    ☐ 9

  3. 3. Explain how you worked it out.