Triangle or No Triangle? Ip Dip Age 5 to 11 Challenge Level: In this town, houses are built with one room for each person. You can put more than one weight on a hook. Illustrating Number Properties with Arrays Age 5 to 11 This article for teachers describes how modelling number properties involving multiplication using an array of objects not only allows children to represent their thinking with concrete materials,. How many ways can you find to do up all the buttons?

Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks? Chairs and Tables Age 5 to 7 Challenge Level: The tasks in this feature encourage learners to become fluent with times tables, but with a difference Age 5 to 16 By following through the threads of algebraic thinking discussed in this article, we can ensure that children’s mathematical experiences follow a continuous progression. These activities lend themselves to systematic working in the sense that it helps if you have an ordered approach. Growing Garlic Age 5 to 7 Challenge Level:

In how many different ways can you break up a stick of 7 interlocking cubes?

## Problem-solving Skills

Ngich in Baskets Age 5 to 7 Challenge Level: Triangle Animals Age 5 to 7 Challenge Level: How could you extend your pattern on the right-hand grid? Frances and Rishi were given a bag of lollies.

This article for teachers describes how modelling number properties involving multiplication using an array of objects not only allows children to represent their thinking with concrete materials. Can you lay out the pictures of the drinks in the way described by the clue cards? And how do you know you’ve found them all?

Student Solutions Age 5 to At the beginning of May Tom put his tomato plant outside. How many different triangles can you draw on the dotty grid which each have one dot in the middle?

Age 7 to 11 Trial and Improvement at KS2 These upper primary tasks could all be tackled using a trial multpilication improvement approach. This article, written for primary teachers, discusses what we mean by ‘problem-solving skills’ and draws attention to NRICH tasks which can help develop specific skills.

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Can you use the information given to find out how many eggs are in each basket? Age 5 to 7.

## Problem Solving

These upper primary tasks all specifically draw on the use of visualising. Journeys on the Gattegno Tens Chart Age 5 to 11 Alf describes how the Gattegno chart helped a class of year olds gain an awareness of place value and of the inverse relationship between multiplication and division. What patterns can you make with a set of dominoes? Multiplication and Division Age 5 to 7 These lower primary tasks will help you to think about multiplication and division. Ip Dip Age 5 to 11 Challenge Level: These articles will support primary teachers as they develop children’s understanding of number and calculation.

In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division. The tasks in this feature encourage learners to become fluent with times tables, but with a difference The fourth article builds on the third by discussing what we mean by problem-solving skills and how NRICH can help children develop these skills.

Alf describes how the Gattegno chart helped a class of year olds gain an awareness of place value and of the inverse relationship between multiplication and division. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

If you count from nnrich to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud? Repeating Patterns Age 5 to 7 Challenge Level: Use the interactivity to help you find out how many cloves multiplifation garlic they might have had.

# Problem Solving :

Nim-7 for Two Age 5 to 14 Challenge Level: This article, written for primary teachers, links to rich tasks which will help develop the underlying concepts associated with fractions and offers some suggestions for models and images that help.

How many pairs is that? Multiplying and Dividing Age 5 to 7 Try these problems, which are all about multiplying and dividing different numbers.

Age 5 to 11 The tasks in this feature are all about practising times tables, but with a difference Age 7 to 11 Reasoning and Convincing at KS2 The tasks in this collection can wolving used to encourage children to convince others of their reasoning, by first convincing themselves, then a friend, then a ‘sceptic’.