Age 7 guide to fractions of shapes

Quick answer

At age 7, children learn to identify and represent fractions of shapes by dividing them into equal parts and shading or counting those parts. You can start with simple shapes like circles and squares, and gradually work up to more complex ones like hexagons and rectangles.

Learning outcome

By the end of this page, you will be able to:

• Identify fractions like half, quarter, and third in shapes
• Shade the correct number of parts to show a fraction
• Count how many parts are shaded and write the fraction
• Understand that fractions show parts of a whole shape

Why this matters

Fractions of shapes help you understand how parts make up a whole. This skill is useful in many situations like sharing food, dividing a cake, or splitting a playground into equal areas. Understanding fractions helps you with more complex maths later, like adding fractions and working with decimals. It also helps you think logically and solve problems in everyday life.

How it works

When we work with fractions of shapes, we follow these steps:

1. Look at the shape – Is it a circle, square, rectangle, or something else?
2. Count how many equal parts the shape is divided into
3. Count how many parts are shaded or used
4. Write the fraction – The shaded parts go on top (numerator), the total parts go on bottom (denominator)

For example, if a circle is divided into 4 equal parts and 1 part is shaded, the fraction is 1/4.

Examples you can see

Let’s look at some examples using different shapes:

Real-world example: Imagine you and your friend are sharing a pizza. If the pizza is cut into 8 equal slices and you eat 3 slices, you have eaten 3/8 of the pizza.

Try it as a mini adventure

Adventure: The Fraction Fairy’s Quest

Once upon a time, there was a Fraction Fairy who lived in a magical garden. She needed to find the right number of flowers to make each shape look complete. Each flower was a different fraction of a shape.

Challenge: Help the fairy by shading the correct number of parts to match each fraction:

1. Circle divided into 4 parts – shade 1/4
2. Square divided into 3 parts – shade 2/3
3. Rectangle divided into 6 parts – shade 5/6
4. Triangle divided into 2 parts – shade 1/2
5. Hexagon divided into 4 parts – shade 3/4

Can you draw each shape and shade the correct parts? This is like a puzzle where you need to match the fraction to the shape!

Common mistakes

• Mistake: Thinking that 1/2 and 2/4 are different fractions
• Why it happens: Not understanding that 1/2 = 2/4 because they show the same amount
• Fix: Use the same shape and shade both ways to see they cover the same area

• Mistake: Counting the shaded parts wrong
• Why it happens: Rushing or not checking the shape carefully
• Fix: Count the parts twice and double-check

• Mistake: Forgetting to make parts equal
• Why it happens: Drawing lines that don’t divide the shape evenly
• Fix: Use a ruler or fold the shape to make equal parts

Parent and carer guide

Helping your child with fractions of shapes is easy and fun! Here’s how:

• Use everyday objects – Cut a pizza, cake, or sandwich into equal parts and talk about the fractions
• Draw shapes together – Practice dividing circles, squares, and rectangles into equal parts
• Ask questions – “What fraction is shaded?” or “How many parts are there?”
• Don’t worry about perfection – Mistakes are part of learning
• Keep it playful – Turn it into a game or story

Remember: Your child is learning to think in parts and wholes, which is a big step in maths!

Practice questions

1. Circle divided into 4 parts, 1 shaded. What fraction is shaded?
2. Square divided into 8 parts, 3 shaded. What fraction is shaded?
3. Triangle divided into 3 parts, 2 shaded. What fraction is shaded?
4. Rectangle divided into 6 parts, 5 shaded. What fraction is shaded?
5. Hexagon divided into 4 parts, 3 shaded. What fraction is shaded?

Answers:

1. 1/4
2. 3/8
3. 2/3
4. 5/6
5. 3/4

FAQ

What is a fraction?

A fraction shows a part of a whole. For example, if you eat 2 slices of a pizza cut into 8 slices, you have eaten 2/8 of the pizza.

How do I know if parts are equal?

Equal parts are the same size. You can check by folding or measuring the shape. If the parts look the same, they are equal.

Why do we need fractions?

Fractions help us share things fairly, like food, time, or space. They are also the building blocks for more advanced maths like percentages and decimals.

Can I use fractions with any shape?

Yes! You can use fractions with circles, squares, rectangles, triangles, and even more complex shapes, as long as the parts are equal.

What if I can’t divide a shape equally?

Then it’s not a fraction. Fractions only work when parts are exactly the same size. If you can’t make equal parts, you can’t show a proper fraction.