# Counting fractions

### Purpose:

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

### What you need:

• Pen and paper
• Oranges or Apples or choose something round and easy to cut up evenly.

### What to do:

Cut an orange 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 another orange into quarters.

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 oranges or drawings to find the answer.

Count the thirds together: one third, two thirds, three thirds

Ask your child to count in thirds and to write the sequence.

• 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:

• Children can also practice counting backwards in fractions. For example 4/3, 1, 2/ 3, 1/3
• You could use flat or round pancakes, spikelets or roti to cut up in quarters or thirds.
• This activity with fifths and tenths.Large, flat pancakes may be better for tenths.

### He Kupu Māori:

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

### He Whakawhitinga Kōrero:

• Tapahia te āporo kia whā nga wāhanga ōrite. (Cut the apple into four equal pieces.)
• E hia ngā hauwhā? (How many quarters?)
• Tatauria ngā hauwhā. (Count the quarters)
• Kotahi hauwhā, e rua hauwhā, e toru hauwhā, e whā hauwhā. (One quarter, two quarters, three quarters, four quarters.)
• Tuhia ngā tohu mō ngā hauwhā. (Write the symbol for the quarters.)
• Tapahia tētahi anō āporo kia hauwhā. (Cut another apple into quarters.)
• Tatauria tonuhia ngā hauwhā. (Continue counting the quarters.)
• He aha tētahi atu ingoa mō te whā hauwhā? (Whats another name for four quarters?)
• He aha tētahi atu ingoa mō te waru hauwhā? (Whats another name for eight quarters?)
• He aha tētahi atu ingoa mō te ono hauwhā? (Whats another name for six quarters?)
• Ko te kotahi me te haurua. (One and a half)
• Tuhia kia rua ngā porowhita. (Draw two circles.)
• Whakaaturia ngā hautoru ki ngā porowhita. (Show thirds on the circles.)
• Wehea ngā porowhita kia toru ngā wāhanga ōrite. (Divide the circles in to three equal parts.)
• E hia katoa ngā hautoru kei roto i ngā porowhita e rua? (How many thirds in the two circles?)