New
New
Perimeter and area in a contextual setting
I can apply my knowledge of perimeter and area in order to solve various contextual scenarios.
Lesson 7 of 12
New
New
- Year 10
Perimeter and area in a contextual setting
I can apply my knowledge of perimeter and area in order to solve various contextual scenarios.
Lesson details
Key learning points
- Knowledge of perimeter and area is useful for any space management contexts.
- Knowledge of perimeter and area is useful when costing a project.
- For each context, you need to decide whether perimeter or area is relevant.
Keywords
Perimeter - The perimeter is the distance around a 2D shape.
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 struggle to select the correct process of perimeter or area.
Pupils should consider whether a space is to be covered in which case it is most likely area.
Task B could be completed in pairs/groups and could also have a budget added to it so that pupils need to consider their choices a little more closely. Also, many DIY websites have calculators in built to work out how much material is needed based on measurements.
Teacher tip
Equipment
Additional material handout for task B.
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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Prior knowledge starter quiz
6 Questions
Q1.Match each measurement to its size for this rectangle.
Match each measurement to its size for this rectangle.
Q2.The perimeter of this parallelogram is cm.
The perimeter of this parallelogram is cm.
Q3.Match each unit to its type of measure.
Match each unit to its type of measure.
Q4.The area of this triangle is cm².
The area of this triangle is cm².
Q5.The perimeter of this compound shape is cm.
The perimeter of this compound shape is cm.
Q6.The area of this compound shape is cm².
The area of this compound shape is cm².
Assessment exit quiz
6 Questions
Q1.Match each type of measure with the context it could be needed for.
Match each type of measure with the context it could be needed for.
Q2.A single rectangular tile has the dimensions 600 mm by 450 mm and a single square tile has an edge length of 520 mm. The tile has the larger area.
A single rectangular tile has the dimensions 600 mm by 450 mm and a single square tile has an edge length of 520 mm. The tile has the larger area.
Q3.Sofia is making a picture frame. She makes the frame by cutting a long piece of wooden trim into 4 pieces. What length of wooden trim does she need to make the frame?
Sofia is making a picture frame. She makes the frame by cutting a long piece of wooden trim into 4 pieces. What length of wooden trim does she need to make the frame?
100 cm
110 cm
120 cm
130 cm
Q4.Izzy buys a tin of paint to decorate her bedroom. The tin states it will cover 32.5 m². Izzy correctly calculates that she has enough paint for two coats. Select the correct statement.
Izzy buys a tin of paint to decorate her bedroom. The tin states it will cover 32.5 m². Izzy correctly calculates that she has enough paint for two coats. Select the correct statement.
The total bedroom wall area cannot exceed 32.5 m².
The total bedroom wall area has to be more than 32.5 m².
The total bedroom wall area has to be more than 16.25 m².
Q5.Block paving slabs cost 45 p per block. A gardener pays £112.50 for some paving slabs. The gardener buys paving slabs.
Block paving slabs cost 45 p per block. A gardener pays £112.50 for some paving slabs. The gardener buys paving slabs.
Q6.Here is a quote for garden materials. The cost of the 24 overlap panels is £ .
Here is a quote for garden materials. The cost of the 24 overlap panels is £ .
