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Geometry in Urban Design

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Geometry in Urban Design

Urban design blueprint with geometric shapes

📐 Part 1: Geometric Shapes and Vocabulary

1. Match the English geometric terms with their te reo Māori names:
Triangle
Square
Circle
Rectangle
Tapawhā rite
Porohita
Tapatoru
Tapawhā roa
2. Which angle type is MOST important for ensuring accessibility in urban pathways?

Acute angles (less than 90°)

Right angles (exactly 90°)

Obtuse angles (more than 90°)

Reflex angles (more than 180°)

3. In the urban design blueprint below, identify and label THREE different geometric shapes you can see:

Hint: Look for parks (circles), building plots (rectangles), and intersection areas (triangles)

📏 Part 2: Measurements and Calculations

4. A rectangular park in the city centre measures 45 metres by 32 metres. Calculate its area:

Area = _________ square metres

5. A triangular plaza has a base of 28 metres and a height of 16 metres. What is its area?

Area = _________ square metres

6. Using a protractor, measure the angles in this intersection design and classify each angle:

Angle A: _____ ° (Classification: _____________)

Angle B: _____ ° (Classification: _____________)

Angle C: _____ ° (Classification: _____________)

7. A circular fountain has a radius of 8 metres. Calculate its area (use π = 3.14):

Area = _________ square metres

🔄 Part 3: Transformations and Design Applications

8. A modular building design needs to be rotated 90° clockwise to fit the available space. Draw the transformation:
9. Which transformations would be MOST useful in sustainable urban design? (Select all that apply)

Rotation - to optimise solar panel positioning

Reflection - to create symmetrical green spaces

Translation - to repeat modular housing units

Enlargement - to scale up successful designs

10. Reflection Question: Explain in 2-3 sentences why understanding geometry is important for creating sustainable urban environments:

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