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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Fractions Unpacked - Progression in Fractions Through Problem Solving

### Halving

### A Bowl of Fruit

### Round the Dice Decimals 1

### Round the Dice Decimals 2

### Andy's Marbles

### Spiralling Decimals

### Linked Chains

### Fraction Lengths

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The tasks below form part of our Fractions Unpacked Feature.

These activities are curriculum-linked, reflecting a progression in ideas associated with fractions, but crucially also offer opportunities for learners to develop their problem-solving and reasoning skills.

These activities are curriculum-linked, reflecting a progression in ideas associated with fractions, but crucially also offer opportunities for learners to develop their problem-solving and reasoning skills.

Age 5 to 7

Challenge Level

These pictures show squares split into halves. Can you find other ways?

Age 5 to 7

Challenge Level

Can you work out how many apples there are in this fruit bowl if you know what fraction there are?

Age 7 to 11

Challenge Level

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Age 7 to 11

Challenge Level

What happens when you round these numbers to the nearest whole number?

Age 7 to 11

Challenge Level

Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.

Age 7 to 14

Challenge Level

Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?

Age 7 to 11

Challenge Level

Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.

Age 7 to 11

Challenge Level

Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?