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Construction

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

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Lesson 5 of 18

New

Year 9

Construction

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

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Lesson details

Key learning points

Costs can be minimised by efficiently calculating material requirements
Electricians need to be able to use Ohm's law
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.

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.

Teacher tip

Equipment

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).

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Prior knowledge starter quiz

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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

Assessment exit quiz

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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.

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?

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?

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

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UnitMaths / Maths in the workplace

Maths

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Construction

Construction

Lesson slides

Lesson details

Key learning points

Keywords

Common misconception

Equipment

Licence

Lesson video

Worksheet

Prior knowledge starter quiz

6 Questions

Q1.The front of a solid is the view of it from the front.

Q2.The elevation of a solid is the view of it from the side.

Q3.The area is the size of the surface and states the number of unit needed to completely cover that surface.

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.)

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.)

Q6.Assuming the cost is proportional, if 12 planks of wood cost £30.60, what do five planks cost?

Assessment exit quiz

6 Questions

Q1.1 kW = W

Q2.0.96 kW = W

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$$^2$$?

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.

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?

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?

Lesson appears in

UnitMaths / Maths in the workplace

Maths

Q1.
The front of a solid is the view of it from the front.

Q2.
The elevation of a solid is the view of it from the side.

Q3.
The area is the size of the surface and states the number of unit needed to completely cover that surface.

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.)

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.)

Q6.
Assuming the cost is proportional, if 12 planks of wood cost £30.60, what do five planks cost?

Q1.
1 kW = W

Q2.
0.96 kW = W

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$$^2$$?

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.

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?

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?