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. 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. 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. Do · 10 min
Pairs work through the 4 steps on screen or on the printed sheet. Circulate and ask "why?"
4. Discuss · 10 min
Use two or three of the discussion questions. Ask pairs to share different answers, not just correct ones.
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. A bed is 4m by 3m. What is its area?
☐ 12 m²
☐ 14 m²
☐ 7 m²
2. What is the perimeter of that bed?
☐ 12 m
☐ 14 m
☐ 7 m
3. Fencing costs £5 per metre. Fencing a 14m perimeter costs…
☐ £19
☐ £60
☐ £70
4. Design a garden with an area of 24 m². Give two possible length × width options.