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Scale Drawings and Proportion
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Scale Drawings and Proportion
📐 Part 1: Understanding Scale
1. What is a scale drawing?
A drawing that is exactly the same size as the real object
A drawing that shows an object proportionally larger or smaller than its actual size
A drawing made with a ruler
A drawing that uses colours to show scale
2. If a scale is 1:50, this means:
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 has 50 parts
3. A bedroom measures 4 metres by 3 metres in real life. Using a scale of 1:100, what would the dimensions be on the drawing?
4 cm by 3 cm
40 cm by 30 cm
400 cm by 300 cm
0.4 cm by 0.3 cm
4. Which of these would commonly use scale drawings? (Select all that apply)
Architects designing whānau homes
Maps showing your local community
Plans for a marae layout
A photograph of your family
📏 Part 2: Scale Calculations
5. A community garden is 20 metres long in real life. On a scale drawing using 1:200, how long would it appear on the drawing?
Answer: ________ cm
6. On a map with scale 1:1000, a local park appears as 8 cm long. What is the actual length of the park in real life?
Answer: ________ metres
7. Extension Challenge: A whānau wants to design a rectangular living space that is 6 metres by 4 metres. They create a scale drawing using 1:50. Calculate both the drawing dimensions and the actual area of the living space.
Drawing dimensions: ________ cm by ________ cm
Actual area: ________ square metres
🏠 Part 3: Real-World Application
8. Create a simple scale drawing of your bedroom or a room in your whānau home. Use the grid below and a scale of 1:100 (1 cm = 1 metre).
My scale: 1 cm = ________ metre(s)
Room dimensions: ________ m by ________ m
9. Explain why scale drawings are important for planning community spaces like marae or local parks. Give at least two reasons.
10. Reflection: How could understanding scale and proportion help your whānau when planning home improvements or rearranging furniture?
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