Proportional Reasoning Art Project

Name:

Date:

📚 Part 1: Quick Check (Warm-up)

1. A rectangle has sides in the ratio 2:3. If the shorter side is 8 cm, what is the longer side?

10 cm

12 cm

16 cm

2. Which scale factor will double every length in a drawing?

0.5

3. Check all statements that are examples of proportional situations:

The cost of fruit varies directly with weight.

Temperature dropping by 2°C each hour.

Mixing 3 parts blue paint to 1 part white to tint colour.

🎨 Part 2: 3-Day Art Project — Draw & Calculate

Overview: Over three lessons you will design a geometric artwork that uses proportional scaling and colour ratios. Use the spaces below each day.

Day 1 — Design your motif (planning)

Choose a simple motif made of rectangles and triangles. Decide the basic ratio for repeating shapes (example: widths 1:1.5:2).

4. Write your chosen ratio for shape sizes:

5. Sketch a small thumbnail of your motif (use this box as a guide):

Day 2 — Scale up to your paper

Your finished paper is 28 cm × 35 cm. Scale your thumbnail using a scale factor. Show calculations.

6. If a shape in your thumbnail is 4 cm wide and you use scale factor 3.5, what is the new width? Show working:

7. Use the drawing box to draw the scaled-up motif to fit the page area. Label one pair of corresponding lengths and their scale factor.

Day 3 — Colour mixing with ratios

Decide a colour mix ratio for a tint (for example 2 parts blue : 1 part white). Calculate paint needed for one area.

8. If 1 part = 15 ml, how many millilitres of each colour do you need for a 2:1 mix? Show working:

9. Paint or colour your final design using the calculated mixes. Note one change you had to make to keep proportions balanced:

✏️ Part 3: Reflect & Explain

10. Explain in one or two sentences how scale factor affects area and why this matters when enlarging your design:

11. Find the missing value: If 5 cm on your thumbnail represents 17.5 cm on the final paper, what is the scale factor? Show one line of working:

12. Self-check — tick the boxes that describe what you can now do:

Use ratios to mix colours accurately.

Calculate and apply scale factors when enlarging drawings.

Identify non-proportional changes in a design.

Proportional Reasoning Art Project

Proportional Reasoning Art Project

📚 Part 1: Quick Check (Warm-up)

🎨 Part 2: 3-Day Art Project — Draw & Calculate

✏️ Part 3: Reflect & Explain

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