Teacher guide · Think Lab · Medium · about 35 min

🧮 Perimeter Park Builder

Pupils practise problem solving through "Perimeter Park Builder": Measure fences and design a tiny park.

Lesson guide

  1. 1. Hook · 5 min

    Show the 🧮 mission title and read the opening: "A rectangle is 6 m long and 3 m wide. Its perimeter?". 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 5 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 "Perimeter Park Builder", and why?
  • A rectangle is 6 m long and 3 m wide. Its perimeter — explain your reasoning to a partner.
  • A square has sides of 4 cm. Its perimeter — explain your reasoning to a partner.
  • A 20 m fence has a 2 m gate opening. How much fencing — 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

🧮 Perimeter Park Builder

Name: ____________________   Date: __________

  1. 1. A rectangle is 6 m long and 3 m wide. Its perimeter?

    ☐ 12 m

    ☐ 18 m

    ☐ 9 m

  2. 2. A square has sides of 4 cm. Its perimeter?

    ☐ 12 cm

    ☐ 16 cm

    ☐ 8 cm

  3. 3. A 20 m fence has a 2 m gate opening. How much fencing?

    ☐ 10 m

    ☐ 18 m

    ☐ 22 m

  4. 4. Connect the clues to their meanings.

    100 cm → ________________

    1000 m → ________________

    10 mm → ________________

  5. 5. Design a rectangular park. Choose its length and width, then work out how much fence it needs.