New
New
Year 4
Understand that different shapes can have the same perimeter
I understand that different 2D shapes can have the same perimeter.
New
New
Year 4
Understand that different shapes can have the same perimeter
I understand that different 2D shapes can have the same perimeter.
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Lesson details
Key learning points
- Shapes that look different can have the same perimeter.
- You can draw or create more than one 2D shape with the same perimeter.
- Shapes with different numbers of sides can have the same perimeter.
Keywords
Polygon - A polygon is a 2D shape made up of 3 or more straight lines.
Perimeter - The distance around a two-dimensional shape.
Common misconception
Pupils will most likely understand that different shapes can and most often do have different perimeters. They may not realise that the perimeters can potentially be the same.
Allowing pupils to recreate perimeters using string or number rods and rearranging themselves to make a new shape is a powerful way of showing that different shapes can have equal perimeters.
If it is possible for the pupils to use real leaves, it will make the learning experience even more enjoyable and memorable. However, pictures of leaves are an acceptable substitute.
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
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Starter quiz
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6 Questions
Q1.
Match the number of sides to the shape name.
triangle
quadrilateral
pentagon
hexagon
Q2.
Select all of the names of shapes that are polygons.
Cube
Circle
Q3.
Which of these shapes are regular polygons?
A
B
Q4.
Rearrange these phrases to make a sentence.
Q5.
Which of these shows the perimeter of the triangle?
B
C
Q6.
In terms of perimeter, which of the statements are true of this image?
a has the same perimeter as b
a has a shorter perimeter than b
b has a longer perimeter than a
Exit quiz
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6 Questions
Q1.
Which of these is true?
Two different shapes cannot have the same perimeter.
Q2.
Always, sometimes or never true? A regular polygon can have the same perimeter as a shape with curved sides.
Always true.
Never true.
Q3.
Select the two shapes with the same perimeter.
Q4.
Which of these statements is true?
The shapes have the same perimeter.
The square has the longer perimeter.
Q5.
Which statement is true of the polygons created inside these number rods?
The shapes are different and the perimeter is different.
It is impossible to tell whether the perimeter is the same or different.
Q6.
Which of these statements is true about these three rectangles?
The rectangles cannot have equal perimeter because sides lengths are different.
B has the longest perimeter because it has the longest side length.