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Year 9

Construction

I can understand how maths is used in the construction industry.

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Year 9

Construction

I can understand how maths is used in the construction industry.

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Lesson details

Key learning points

  1. Costs can be minimised by efficiently calculating material requirements
  2. Electricians need to be able to use Ohm's law
  3. An understanding of flow rates helps plumbers install the correct equipment

Keywords

  • Front elevation - The front elevation of a solid is the view of it from the front.

  • Side elevation - The side elevation of a solid is the view of it from the side.

  • Area - The area is the size of the surface and states the number of unit squares needed to completely cover that surface.

Common misconception

Pupils may substitute incorrectly.

Each variable in a formula represents something. Substituting for one variable at a time may help ensure that values are in the correct places.


To help you plan your year 9 maths lesson on: Construction, download all teaching resources for free and adapt to suit your pupils' needs...

Pupils could investigate construction costs further by considering what it would cost to redecorate the classroom. You can scale the challenge of this task by limiting what can and cannot be altered.
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Teacher tip
equipment-required

Equipment

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Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
The front of a solid is the view of it from the front.
Correct Answer: elevation
Q2.
The elevation of a solid is the view of it from the side.
Correct Answer: side
Q3.
The area is the size of the surface and states the number of unit needed to completely cover that surface.
Correct Answer: squares
Q4.
The formula for the area of a rectangle is $$ab$$. When $$a$$ = 3 cm and $$b$$ = 4 cm, what is the area of the rectangle in cm$$^2$$? (You do not need to state the units.)
Correct Answer: 12
Q5.
The formula for the area of a trapezium is $$0.5(a+b)h$$. When $$a$$ = 3 cm, $$b$$ = 4 cm and $$h$$ = 10, what is the area of the trapezium in cm$$^2$$? (You do not need to state the units.)
Correct Answer: 35
Q6.
Assuming the cost is proportional, if 12 planks of wood cost £30.60, what do five planks cost?
Correct Answer: £12.75

6 Questions

Q1.
1 kW = W
Correct Answer: 1000
Q2.
0.96 kW = W
Correct Answer: 960
Q3.
$$Q = A \times v$$ where $$Q$$ is the flow rate, $$A$$ is the flow area and $$v$$ is the velocity. If the flow rate is 36 m$$^3$$ and the velocity is 10 m/s, what is the flow area in m$$^2$$?
Correct Answer: 3.6
Q4.
BTU = volume of room $$\times$$ allowance for heat loss. Calculate the BTU for a bedroom with dimensions 3 m by 3 m by 5 m.
An image in a quiz
Correct Answer: 4860
Q5.
BTU = volume of room $$\times$$ allowance for heat loss. If I want to buy one radiator for my bedroom (dimension 3 m by 3 m by 5 m), which one should I buy?
An image in a quiz
600 mm by 400 mm
600 mm by 600 mm
600 mm by 800 mm
Correct answer: 600 mm by 1000 mm
600 mm by 1200 mm
Q6.
BTU = volume of room $$\times$$ allowance for heat loss. If I want to buy two radiators for my bedroom (dimension 3 m by 3 m by 5 m), which ones should I buy?
An image in a quiz
Two 600 mm by 400 mm radiators
Correct answer: Two 600 mm by 600 mm radiators
Two 600 mm by 800 mm radiators
Two 600 mm by 1000 mm radiators
Two 600 mm by 1200 mm radiators