Scale Drawing Project

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📘 Part 1: Learning Intention & Success Criteria

Learning Intention: We are learning to apply proportional reasoning, measurement, geometry and exponents to create an accurate scale drawing and justify our mathematics.

Success Criteria — Tick when complete:

I have measured my real object accurately.

I have selected and used the same scale for every measurement.

I have completed calculations for scaled lengths, a 50% reduction and a 1.5× enlargement.

I have used powers of 10 correctly for unit conversions.

I have labelled dimensions and calculated perimeter or area where needed.

Helpful reminders:

Scale example: 1 : 100 means 1 cm on the drawing = 100 cm (1 m) in real life. Use the same scale for every measurement.

Reduction / Enlargement: Reduce by 50% → × 0.5 (or ÷ 2). Enlarge by 1.5 → × 1.5 (add half of the length).

Powers of 10: 1 km = 10³ m, 100 m = 10² m. Use these to convert units efficiently.

✏️ Part 2: Tasks — Measurements, Scaling & Calculations

1. You measure a skateboard that is 82 cm long. You choose a scale of 1 : 50. Calculate the length on your drawing in centimetres. Show your working.

2. A park bench is 1.8 m long. Using scale 1 : 100, what length (in cm) will the bench be on your drawing? Show unit conversion and working.

3. On your scaled drawing a door is 40 cm high. Create a 50% reduction and a 1.5× enlargement of this height. Give both new heights and show calculations.

4. Use exponents to explain the conversion: 2.5 km → metres. Write the conversion and explain the power of 10 you used.

5. A scaled tabletop measures 30 cm by 20 cm on your drawing. If your scale is 1 : 25, calculate the real tabletop's perimeter and area. Give answers in metres.

6. Which metric unit did you choose for measuring your object (mm / cm / m)? Briefly justify your choice in one or two sentences.

🔍 Part 3: Justify, Reflect & Extension

7. Justify your choice of scale in 3–4 sentences. Use at least two mathematical terms from: equivalent ratios, scale, dimensions, factors, proportional reasoning, enlargement, reduction.

8. Sketch your scaled object for your poster area. Draw to scale and label one measured dimension with units.

Self-assessment checklist: For each row, tick the column that matches your work.

I can accurately use scale.

Not Yet

Almost

Achieved

I can calculate proportional measurements.

Not Yet

Almost

Achieved

I can enlarge and reduce my drawing correctly.

Not Yet

Almost

Achieved

I can use exponents and powers of 10 correctly.

Not Yet

Almost

Achieved

I can measure accurately using metric units.

Not Yet

Almost

Achieved

I can explain and justify my mathematical thinking.

Not Yet

Almost

Achieved

Extension challenge (optional):

• Compare two different scales (e.g. 1:50 vs 1:100) and write one paragraph explaining which is more efficient for your poster.

• Estimate the amount of material needed to build your object or calculate area in both real and scaled dimensions.

Scale Drawing Project

Scale Drawing Project

📘 Part 1: Learning Intention & Success Criteria

✏️ Part 2: Tasks — Measurements, Scaling & Calculations

🔍 Part 3: Justify, Reflect & Extension

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