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Exploring Environmental Shapes

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Exploring Environmental Shapes

Explore how 2D shapes appear in a park and its surroundings. Use shape names and geometry clues to explain what you notice. For drawing questions, label your shapes clearly.

Shapes in the surroundings

Use these park details to answer Questions 1–3: a wheelbarrow has a circular wheel; the park sign and shed wall are rectangular; a hexagonal flower bed has six straight sides and six vertices; and the shed roof is triangular.

1.Using the park details, name one object with a circular shape and one object with a rectangular shape.

2.Which shape in the park details has six straight sides and six vertices?

Triangle
Rectangle
Hexagon
Circle

3.The shed roof is triangular. How many sides and vertices does a triangle have?

Geometry clues

Use what you know about sides, angles and symmetry to solve each challenge.

4.Match each shape to its property.

Square
Rectangle
Circle
Triangle

No straight sides and no vertices
Four equal sides and four right angles
Three straight sides
Opposite sides equal and four right angles

5.True or false: Every square is also a rectangle. Explain your answer using a property of the shapes.

6.A rectangular garden bed is 6 metres long and 3 metres wide. What is its perimeter? Show or describe your calculation.

7.A square paving tile has sides that are each 4 centimetres long. What is its perimeter?

8 cm
12 cm
16 cm
20 cm

Design a shape-smart park

Put your geometry knowledge to work in a design challenge.

8.Draw a park sign using at least two different 2D shapes. Label each shape and mark any line of symmetry you can find.

9.A designer wants a window that has exactly one line of symmetry. Name one 2D shape that would work and describe where its line of symmetry could go.

10.A circular path goes around a round garden. Why is a circle a useful shape for a path that needs to curve smoothly without corners?