Tumbling Down Age 7 to 11 Challenge Level: Have a go at this challenging task! Fractions Age 5 to 7 The activities in this feature give you chance to explore fractions. Who first used fractions? Counting Fish Age 14 to 16 Challenge Level:

In this feature we offer rich tasks to build learners’ deep conceptual understanding of fractions. Register for our mailing list. What fractions can you find between the square roots of 65 and 67? How much of the square is coloured blue? A Sudoku with clues as ratios. All of the following tasks provide contexts in which to encourage learners to talk about their ideas and to work towards refining their vocabulary. Investigate the successive areas of light blue in these diagrams.

## 242 Matches for fractions

Fractional Triangles Age 7 to 11 Challenge Level: Doughnut Percents Age 7 to 14 Challenge Level: The large rectangle is divided into a series of smaller quadrilaterals and triangles.

This gives opportunities for different approaches.

Try this matching game and see. How did fractions reach us here? Can you find different ways of showing the same fraction? Egyptian Fractions Age 11 to 14 Challenge Level: All of the following tasks provide contexts in which to encourage learners prkblem talk about their ideas and to work towards refining their vocabulary. Pick two rods of different colours. Folding Fractions Fracctions 14 to 16 Challenge Level: What fractions can you divide the diagonal of a square into by simple folding?

## 1213 Matches for fractions problems

Can you find different ways of showing the same fraction? Fractions Age 7 to 11 Explore the idea of fractions using these activities.

Finally, pproblem understand the inverse relation between the denominator and the quantity: So, the tasks in this second group are curriculum-linked but crucially also offer opportunities for learners to develop solcing problem-solving and reasoning skills. The Greedy Algorithm might provide us with an efficient way of doing this. The question should always be, ‘fraction of what? Such tasks also provide valuable opportunities for you to assess where children have got to in their thinking and so support the next steps on their learning journey.

Watch the video to see how to fold a square of paper to create a flower. Counting Fish Age 14 to 16 Challenge Level: Can you see how to build a harmonic triangle?

# Fractions Unpacked :

Stetch it out to match the original length. Were they always written in the same way? Explore how to divide numbers and write fractions in modulus arithemtic.

Can you explain why this happens? Part-whole Concept Age 5 to 14 Written for teachers, this article describes four basic approaches children use in understanding fractions sokving equal parts of a whole.

Can you work out which drink has the stronger flavour? Can you find its length? Linked Chains Age 7 to 11 Challenge Level: An environment which simulates working with Cuisenaire rods. There are three tables in a room with blocks of chocolate on each.

Egyptian Fractions Age 11 to 14 Challenge Level: Fractions – Sequences and Patterns Exploring interesting patterns and sequences generated with fractions.

Take a look at the video and try to find a sequence of moves that will untangle the ropes.