# FRACTIONS NRICH PROBLEM SOLVING TASKS

Fractional Triangles Age 7 to 11 Challenge Level: And how often do we vary the ‘whole’? Counting Fish Age 14 to 16 Challenge Level: What is the sum of the denominator and numerator? Fraction Fascination Age 7 to 11 Challenge Level: Try adding fractions using A4 paper. When if ever do you get the right answer if you add two fractions by adding the numerators and adding the denominators?

Learners are invited to halve pieces of paper in different ways and to articulate how they know that they have created halves. In this way, the task lays the foundations for a deep understanding of the part-whole relationship. Chocolate Bars Age 7 to 11 Challenge Level: All of the following tasks provide contexts in which to encourage learners to talk about their ideas and to work towards refining their vocabulary. Using the picture of the fraction wall, can you find equivalent fractions? Can you untangle what fractional part is represented by each of the ten numbered shapes? Try this matching game and see.

Age 7 to 11 Challenge Level: Age 16 to 18 Challenge Level: Chocolate Bars Age 7 to 11 Challenge Level: Repeat infinitely many times, and you have the Cantor Set.

An environment which simulates working with Cuisenaire rods. What were the interesting questions that needed to be asked, and where did they lead?

# Fractions KS1 :

Folding Fractions Age 14 to 16 Challenge Level: Can you work out which drink has the stronger flavour? Fractional Wall Age 7 to 11 Challenge Level: History of Fractions Age 7 to 14 Who first used fractions?

ESSAY TUNGKOL SA PAGPAPLANO NG PAMILYA

Fractions – Sequences and Patterns Exploring interesting patterns and sequences generated with fractions. Route Product Age 7 to 11 Challenge Level: Cuisenaire Environment Age 5 to 11 Challenge Level: Set your own level of challenge and beat your own previous best score.

## Fractions KS2

How many adults would there be in the smallest community of this type? Can you untangle what fractional part is represented by each of the ten numbered shapes?

Use the fraction wall to compare the size of these fractions – you’ll be amazed how it helps! Can you get close to 1? How do you know they are halves?

They understand the relative nature of fractions: If the length of the black is 1, how could you write the sum of the strips? Can you fit the tangram pieces into the outline of Little Fung at the table? Try this matching game and see.

THESIS SA FLORANTE AT LAURA

Ratio Sudoku 1 Age 11 to 16 Challenge Level: So, the tasks in this second group are curriculum-linked but crucially also offer opportunities for learners to develop their problem-solving and reasoning skills.

This collection of resources is designed to help students improve their understanding of topics in Number.

# More Fractions Upper Primary :

Linked Chains Age 7 to 11 Challenge Level: In our Early Fraction Development articlewhich is also part of the first group of resources in this feature, Bernard Bagnall describes his experiences of using these two tasks, and others, many times with groups of children and suggests further ideas using paper.

Why might children find fractions difficult? In order to be able to develop their understanding and then generalise about fractions, children need to explore many representations and uses over a significant period of time.