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# Counting fractions

### Purpose:

For example: 1/3, 2/3, 1, 4/3, 5/3, 2, 7/3

### Link to the Number Framework:

Number Sequence, Stage 6

### What you need:

• Pen and paper
• Apples (real or drawn)

### What to do:

Cut an apple (or similar) real or drawn into quarters.

Count the pieces one quarter, two quarters, three quarters, four quarters and ask your child to write down the fractions. 1/4, 2/4, 3/4, 4/ 4

Cut a second apple and ask your child to keep counting the quarters 5/4, 6/4, 7/4, 8/4 and to continue to write the list of fractions.

• Ask them what is another name for 4 quarters? (1)
• what is another name for 8 quarters?(2)
• what is another name for 6 quarters ?(1 2/4 or 1 1/2)

Encourage them to use the apples or drawings to find the answer.

• Ask them to count in thirds and to write the sequence.
• Ask them what is another name for 3 thirds? (1)
• what is another name for 6 thirds?(2)
• what is another name for 5 thirds? (1 2/3)

### What to expect your child to do:

• To be able to read and write the fractions in a sequence.
• Recognise the number of quarters in whole numbers, and the number of thirds in whole numbers.

### Variations:

This activity can be repeated with fifths and tenths. Children can also practice counting backwards in fractions, for example 4/3, 1, 2/ 3, 1/3

### He Kupu Māori:

 third hautoru quarter hauwhā fifth haurima tenth hauono equal parts wāhanga ōrite count tatau (-ria) symbol tohu