New
New
Year 6

Reason about shapes using the relationship between side lengths and area and perimeter

I can reason about shapes using the relationship between side lengths and area and perimeter.

New
New
Year 6

Reason about shapes using the relationship between side lengths and area and perimeter

I can reason about shapes using the relationship between side lengths and area and perimeter.

warning

These resources will be removed by end of Summer Term 2025.

Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.

Lesson details

Key learning points

  1. Area and perimeter are calculated from the side lengths of 2D shapes.
  2. Area is measured in square units.
  3. Perimeter is measured in units of length.

Keywords

  • Area - Area is the measurement of a flat surface and measures 2D space.

  • Perimeter - The distance around a 2D shape is its perimeter.

Common misconception

Area and perimeter are easily confused. In this lesson, both concepts are explored, often at the same time.

Use your knowledge of the pupils' attainment (including using the Starter Quiz) to see which pupils are confusing the terms. All pupils will benefit from access to a working wall which gives a clear reminder of which is which.

The final two questions of the Practice section of Cycle B are open-ended and therefore have many possible answers. You may wish to allocate a set amount of time for pupils to work on each of them, encouraging them to find the most possible answers in that time.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

Loading...

6 Questions

Q1.
What is the inverse of × 4?
+ 4
− 4
Correct answer: ÷ 4
× 8
Q2.
Which of these are factors of 12?
Correct answer: 3
5
Correct answer: 6
24
60
Q3.
What is the perimeter of this shape? Remember to use the correct unit of measure.
An image in a quiz
Correct Answer: 130 mm
Q4.
A square has side lengths of 75 mm. What is its perimeter? mm
Correct Answer: 300
Q5.
A rectangle has side lengths of 17 cm and 4 cm. Its area is cm².
Correct Answer: 68
Q6.
What is the area of this square? cm²
An image in a quiz
Correct Answer: 49

6 Questions

Q1.
This square road sign has a perimeter of 120 cm. What is the length of one side? cm
An image in a quiz
Correct Answer: 30
Q2.
What is the missing dimension of the rectangle which has an area of 104 cm² and one known side of 8 cm? cm
An image in a quiz
Correct Answer: 13
Q3.
The smaller rectangle has sides of 7 cm and 3 cm. The larger rectangle is composed of two of the smaller rectangles. What is the perimeter of the larger rectangle? Remember to use the correct unit.
An image in a quiz
Correct Answer: 34 cm, 34
Q4.
The square has an area of 64 cm². It is decomposed into four congruent rectangles. What is the perimeter of one of the small rectangles? Remember to use the correct unit.
An image in a quiz
Correct Answer: 20 cm, 20
Q5.
The larger rectangle is composed of two of the smaller rectangles. What is the area of the larger rectangle? cm²
An image in a quiz
Correct Answer: 42
Q6.
The larger rectangle is composed of the smaller rectangles. What is the area of the larger rectangle? cm²
An image in a quiz
Correct Answer: 72