New
New
Year 4

Know that unknown side lengths can be calculated from the perimeter and known side lengths

I can calculate unknown side lengths of rectangles from the perimeter and known side lengths.

New
New
Year 4

Know that unknown side lengths can be calculated from the perimeter and known side lengths

I can calculate unknown side lengths of rectangles from the perimeter and known side lengths.

Lesson details

Key learning points

  1. Subtraction and halving can be used to calculate the missing side length of a rectangle.
  2. If you know the perimeter and one of the side lengths you can subtract the known sides and halve the difference.
  3. Mental and written methods can be used to calculate the perimeter of a 2D shape.

Common misconception

Pupils may see a rectangle with the perimeter given and only one of the side lengths and think that there is insufficient information as there are three missing side lengths.

Remind pupils that because it is a rectangle, the side length opposite the given side length is in fact known. A counter can be added on and then removed again to show that they actually know two of the missing side lengths, not just one.

Keywords

  • Perimeter - The distance around a two-dimensional shape.

Cycle A uses two-coloured counters to as a means exploring ways to find missing side lengths when the perimeter is known. The Practice tasks are not presented with counters, but including them could be a useful way of scaffolding learning for pupils who are finding the concept challenging.
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).

Loading...

6 Questions

Q1.
Complete the sentence. Half of 36 is
Correct Answer: 18
Q2.
Which calculations will give the perimeter of this rectangle?
An image in a quiz
8 + 4
Correct answer: 8 + 4, then double the answer
Correct answer: Double 8 + double 4
It is impossible to give the perimeter because there are missing side lengths.
Q3.
What is the perimeter of this rectangle?
An image in a quiz
11 units
16 units
Correct answer: 22 units
Q4.
What is the perimeter of this rectangle? units.
An image in a quiz
Correct Answer: 24
Q5.
What is the perimeter of this rectangle? units.
An image in a quiz
Correct Answer: 180
Q6.
Order these rectangles from shortest to longest perimeters.
An image in a quiz
1 - Rectangle C with sides of 4 and 5 units
2 - Rectangle A with sides of 2 and 8 units
3 - Rectangle B with sides of 6 and 5 units

6 Questions

Q1.
The rectangle has a perimeter of 30 units. What is the length of each missing side? units.
An image in a quiz
Correct Answer: 5
Q2.
The rectangle has a perimeter of 20 units. What is the length of each missing side? units.
An image in a quiz
Correct Answer: 7
Q3.
This rectangle has a perimeter of 22 units. The long side of this shape is given. What is the length of each short side? units.
An image in a quiz
Correct Answer: 5
Q4.
A rectangle has a perimeter of 30 units. The long side has a length of 13 units. What is the length of each short side? units.
Correct Answer: 2
Q5.
A rectangle has a perimeter of 30 units. The short side has a length of 1 unit. What is the length of each long side? units.
Correct Answer: 14
Q6.
Which of these are possible side lengths for a rectangle with a perimeter of 50 cm?
Correct answer: 1 cm, 1 cm, 24 cm , 24 cm
9 cm, 11 cm, 19 cm, 11 cm
10 cm, 10 cm , 10 cm , 10 cm
15 cm, 15 cm, 20 cm, 20 cm
Correct answer: 12 cm, 12 cm, 13 cm, 13 cm