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- Fractions of a shape (Year 2)

In Year 2, we have been learning to recognise half, quarter or three quarters of a shape as well as find a fraction of a number or an amount.

When we write a fraction, there is a **numerator** and a **denominator**.

The **numerator** is the number of parts we are thinking about; for example, the number of parts shaded or the number of parts missing.

The **denominator** is the number of parts in total. Remember, just because the **denominator** is a bigger number, it does not mean it is a bigger fraction. For example, 1/4 is not bigger than 1/2 because 4 is a bigger number than 2.

Look at the examples below. How many parts have the shapes been split into? The answer will be the **denominator** in your fraction.

**Recognising equal parts**

When you start exploring fractions, it is important that you recognise **equal **and **unequal** parts.

Look at the pictures below.

- What is the whole? What are the parts?
- How many parts is the shape split into?
- Are all the parts equal? How do you know?
- Is there more than one way to split the shape into equal parts?

**Half**

When you divide a shape into two equal parts, each part is called a **half**. Two **halves** make a whole. In the fraction **1/2**, 1 represents the number of parts shaded and the 2 represents the total number of parts.

Look at the shapes below.

- How many
**equal parts**has the shape been split into? - Which pictures show
**1/2**?

Challenge 1

Which is the odd one out? Can you explain your answer?

Challenge 2

Miss Coverdale says the shaded parts of the shape do not show a **half** because there are 4 parts and not 2 equal parts. Do you agree? Explain why.

**Quarters **

When you divide a shape into four equal parts, each part is called a **quarter**. Remember, four **quarters** make a whole.

Look at the shapes below.

- Which shapes do not have a
**quarter**shaded? How do you know? - Can you draw the shapes again and split them into
**quarters**correctly?

Challenge 1

Is a **1/4** of this shape shaded? Explain your answer.

Challenge 2

Using two identical strips of paper, what happens when you fold the strips into two **equal parts **and four **equal parts**? What do you notice?

Challenge 3

Using what you know about the **numerator** and the **denominator**, can you colour in **3/4** of each shape? Remember, the **numerator **is the number of parts we are thinking about; for example, 3 parts that are shaded.