Scale Drawings and Proportion

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📐 Part 1: Understanding Scale

1. What does a scale of 1:50 mean?

1 cm on the drawing represents 50 cm in real life

50 cm on the drawing represents 1 cm in real life

The drawing is 50 times bigger than real life

The drawing shows 50 different views

2. A scale drawing of a marae has a scale of 1:100. If the real marae is 20 metres long, how long should it be on the drawing?

2 cm

20 cm

200 cm

2000 cm

3. Which of these would need a scale drawing? (Check all that apply)

Planning a new whānau home

Drawing a life-size portrait

Designing a community garden

Creating a map of your neighbourhood

4. On a scale drawing with scale 1:25, a room measures 8 cm long. What is the actual length of the room?

Answer: _______ metres

✏️ Part 2: Creating Scale Drawings

5. You want to draw your bedroom that measures 4 metres by 3 metres using a scale of 1:50. Calculate the dimensions for your scale drawing.

Length on drawing: _______ cm Width on drawing: _______ cm

6. Draw a scale plan of a rectangular community garden that is 15 metres long and 10 metres wide. Use the scale 1:100.

Scale used: 1:100 Length on drawing: _______ cm Width on drawing: _______ cm

7. Explain why scale drawings are important for whānau and community planning. Give two specific examples.

🏆 Part 3: Extension Challenge

8. Advanced: A scale drawing of a marae courtyard has a scale of 1:200. On the drawing, the courtyard has an area of 12 cm². What is the actual area of the courtyard in real life?

Actual area: _______ m²

9. Challenge: Design a scale drawing of your ideal whānau outdoor space (backyard, garden, or recreational area). Include at least 3 different features and show all your measurements. Use a scale of your choice.

My chosen scale: 1:_______