Identify equal parts when they do not look the same | Maths

Starter quiz

What is the missing whole in this bar model?

'300' ✓
Which circle has been split into equal parts?

Circle 1

Circle 2 ✓
Which strip of paper is being described? It has been folded into 4 equal groups.

Strip 1

Strip 2 ✓

Strip 3
Look at the image. Which sentence is correct?

There ae 3 equal groups.

There are 3 unequal groups. ✓
Look at the sequence of months. Which season is missing?

Spring

Summer

Autumn

Winter ✓
Which flag is made up of only equal parts?

Flag of Peru ✓

Flag of Costa Rica

Flag of Jamaica

Flag of France ✓

Exit quiz

Which of the statements describe the whole and the part of this 2D shape?

The whole has been split into unequal parts

The whole has been split into equal parts that are the same shape ✓

The whole has been split into equal parts that are shaped differently
Which of the statements describe the whole and the parts of this 2D shape?

The whole has been split into unequal parts

The whole has been split into equal parts that are the same shape

The whole has been split into equal parts that are shaped differently ✓
Which of the statements are true?

A whole is made up of two parts

Parts can be equal or unequal ✓

Equal parts can look different but still be equal ✓

A whole can be smaller than a part
Which of the statements describe the whole and the parts of this 2D shape?

The whole has been split into unequal parts ✓

The whole has been split into equal parts that are shaped the same

The whole has been split into equal parts that are shaped differently
Equal parts can look different. Which justification best explains this?

As long as the parts take up the same amount of space then they are equal ✓

They need to be different shapes entirely like a triangle and a square
Which of these shapes has four equal parts that are shaped differently?

Shape 1 ✓

Shape 2

Shape 3

Worksheet

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Lesson Details

Key learning points

Equal parts do not have to look the same.
Equal parts of a whole can be different shapes.
A whole can be made from equal parts that are different shapes.

Common misconception

Some children may not be fully aware that two shapes can have the same name but be differently shapes. For example, there are several different types of triangle.

Maintain a real focus on 'What's the same and what's different?'. Don't shy away from any questions or misconceptions about categories of shape, use them to further any learning.

Keywords

Whole - The whole is all the parts or everything, the total amount.
Part - A part is some of the whole.
Equal - We say that two or more things are equal if they have the same quantity or value.
Unequal - We say that two or more things are unequal if they do not have the same quantity or value.