0 1 2 3 4 5 6

What size fraction pieces are shown on this number line ?

1 whole

thirds

0 1 2 3 4

What size fraction pieces are shown on this number line ?

1 whole

quarters

What size fraction pieces are shown on this number line ?

fifths

0 1 2 3 4

1 whole

0 1 2

What size fraction pieces are shown on this number line ?

1 whole

eighths

What size fraction pieces are shown on this number line ?

tenths

0 1 2

0.10.20.30.40.50.60.70.80.91.01.11.21.3 2.0

Whole carriage

Trains

I am learning to find where fractions live amongst whole numbers.

A “three carriage” train

Whole carriage Whole carriage

“half carriage”

“How many half carriages would I need to make three whole carriages?”

six half carriages make three whole carriages

Written using numerals:

Whole carriage

Trains

I am learning to find where fractions live amongst whole numbers.

These red rods can make up whole carriages

Whole carriage Whole carriage

“0ne-fifth carriage”

Suppose you had 12 of these one-fifth carriages. How many whole carriages could you make?”

twelve-fifths is the same as two wholes and two-fifths Written using numerals:

Trains

I am learning to find where fractions live amongst whole numbers.

For a different railway the dark green rods are whole carriages

“0ne-third carriage”

“0ne-half carriage”

How many whole carriages could you make with 18 one-third carriages?”

eighteen-thirds is the same as six wholes

Written using numerals:

Whole

Trains

I am learning to find where fractions live amongst whole numbers.

For a different railway the dark green rods are whole carriages

“0ne-half carriage”

How many whole carriages could you make with 7 one-half carriages?”

seven-halves is the same as three wholes and one-half Written using numerals:

Whole

Whole carriage

Trains

I am learning to find where fractions live amongst whole numbers.

If you had 11 one-third carriages, how many whole carriages would you have?

For yet another railwaythe dark blue rods are whole carriages

0 1 2 3 4 5 6

“0ne-third carriage”

Whole carriage

Trains

I am learning to find where fractions live amongst whole numbers.

How many carriages can you make with nine red rods?

For yet another railwaythe brown rods are whole carriages

“0ne-quarter carriage”

0 1 2 3 4

Whole carriage

Trains

I am learning to find where fractions live amongst whole numbers.

How many carriages can you make with 17 crimson rods?

For yet another railwaythe brown rods are whole carriages

“0ne-half carriage”

0 1 2 3 4 5 6 7 8 9

Rename these fractions as mixed numbers:

I am learning to find where fractions live amongst whole numbers.

0 1 2

BIRTHDAY CAKES (1)

Birthday cakesThe four people at Carla’s birthday will get one-quarter of the cake each. Carla puts 16 candles on the cake. How many candles will each person get?

Using symbols:

Birthday cakesThe four people at Carla’s birthday will get one-quarter of the cake each. Carla puts 48 jellybeans on the cake. How many jellybeans will each person get?

4824 2412

12 12

12

Using symbols:

“Five people are at the party. There are 25 candles.”

Using symbols:

“Five people are at the party. There are 45 pebbles on the cake.”

Using symbols:

“Three people are at the party. There are 21 candles.”

Using symbols:

Twelve candles are put on the cake. Greedy Greg eats three-quarters of the cake. How many candles does he get?

126 63

3 3

3

Using symbols:

Twenty jellybeans are put on the cake. Greedy Greg eats three-quarters of the cake. How many jellybeans does he get?

2010 105

5 5

5

Using symbols:

1/5 of 15

2/5 of 15

1/3 of 30

2/3 of 30

1/4 of 16

3/4 of 16

Find these answers

Decimals

0.10.20.210.220.23

This whole square = one unit

Decimals

H T O . t h

0.90.910.920.99

Decimals

H T O . t h

Decimals

H T O . t h

0.6

Decimals

H T O . t h

0.74