Teacher guide · Think Lab · Harder · about 35 min

📐 Design a Garden

Pupils practise problem solving and creativity through "Design a Garden": Use area and perimeter to plan a garden.

Lesson guide

  1. 1. Hook · 5 min

    Show the 📐 mission title and read the opening: "A bed is 4m by 3m. What is its area?". 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 4 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 "Design a Garden", and why?
  • A bed is 4m by 3m. What is its area — explain your reasoning to a partner.
  • What is the perimeter of that bed — explain your reasoning to a partner.
  • Fencing costs £5 per metre. Fencing a 14m perimeter costs… — 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: number, calculation, fractions and reasoning (KS1/KS2)
  • 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

📐 Design a Garden

Name: ____________________   Date: __________

  1. 1. A bed is 4m by 3m. What is its area?

    ☐ 12 m²

    ☐ 14 m²

    ☐ 7 m²

  2. 2. What is the perimeter of that bed?

    ☐ 12 m

    ☐ 14 m

    ☐ 7 m

  3. 3. Fencing costs £5 per metre. Fencing a 14m perimeter costs…

    ☐ £19

    ☐ £60

    ☐ £70

  4. 4. Design a garden with an area of 24 m². Give two possible length × width options.