New
New
Year 6
Solve problems involving area and perimeter
I can apply understanding of calculation of area and perimeter of polygons to solve problems.
New
New
Year 6
Solve problems involving area and perimeter
I can apply understanding of calculation of area and perimeter of polygons to solve problems.
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Lesson details
Key learning points
- Area and perimeter are calculated from the side lengths of 2D shapes.
- Perimeter is measured in units of length.
- Area is measured in squared units.
Keywords
Area - Area is a measurement of a flat surface. It measures a 2D space.
Perimeter - The distance around a 2D shape is its perimeter.
Common misconception
Because area and perimeter are so often discussed alongside each other - as is the case with this lesson - pupils often get the two confused.
By now pupils should be very familiar with area and perimeter, so that they can apply the knowledge to problem solving. However, spend time going over the definitions at the start and ensure pupils have access to visual reminders.
In order to focus attention on area and perimeter and strategies for calculation, arithmetic focuses on multiplication tables. Consider how you will support pupils who are less fluent in recalling these facts.
Teacher tip
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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Starter quiz
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6 Questions
Q1.
What can be done so that the shapes have the same area?
Nothing. They already have the same area
Q2.
What is true for any regular shape?
It has all right angles.
It must be a circle, triangle or a square.
Q3.
What is the area of a square with a side length of 5 cm?
20 cm
20 cm²
25 cm
Q4.
What is the perimeter of a square with a side length of 6 cm?
24 cm²
36 cm
36 cm²
Q5.
12 × 6 =
Q6.
12 × 16 =
Exit quiz
Download exit quiz
6 Questions
Q1.
Which of the following is true?
Two shapes with the same area must have the same perimeters.
Two shapes with the same perimeter must have the same area.
Q2.
How can the perimeter of this shape be increased without its area changing?
It cannot be increased, shapes with the same area must have the same perimeter.
Rearrange the squares so that fewer side lengths are on the outside of the shape
Q3.
The side length of an equilateral triangle is 8 cm. What is the area of a square with the same perimeter? cm².
Q4.
The side length of a regular pentagon is 8 cm. What is the area of a square with the same perimeter? cm².
Q5.
How many rectangles can be drawn with whole number side lengths that have an area of 4 cm²?
1
2, and the perimeters are the same.
3, and the perimeters are the same.
Q6.
How many rectangles can be drawn with whole number side lengths that have an area of 16 cm²?
1
2, and the perimeters are different.
2, and the perimeters are the same.
3, and the perimeters are the same.