### NRICH PROBLEM SOLVING KEY STAGE 2

Can you work out the missing numbers? We have a collection of short problems that would be ideal to fit into this category. What could the half time scores have been in these Olympic hockey matches? Zios and Zepts Age 7 to 11 Challenge Level: Guess the Dominoes Age 7 to 14 Challenge Level:

We want all our tasks to be used in such a way that they enable learners to explore and work from their own level of understanding, and then build on this towards new understandings. How about when a friend begins a new rhythm at the same time? Also in the concluding part of the problem-solving adventure children will need to be supported to compare different strategies that were used to solve the problem in order to consider the efficiency of the method and the elegance of the solution. Register for our mailing list. How many different ways can you do it? These lower primary tasks could all be tackled using a trial and improvement approach. Can you sort out the clues and find the number?

This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient. Flashing Lights Age 7 to 11 Challenge Level: Factor track is not a race but a game of skill. How much problem solving did the children do?

Is there only one solution in each case? Factor Track Age 7 to 14 Challenge Level: Solvlng Do You Need? You could try for different numbers and different rules.

Have a go at balancing this equation. Highest and Lowest Age 7 to 11 Challenge Level: The skills needed for a problem-solving task By this brich mean the problem-solving skills listed above in Stage 2: Look at what happens when you take a number, square it and subtract your answer. This feature draws together tasks which give learners opportunities to reason for different purposes.

# Developing Excellence in Problem Solving with Young Learners :

What kind of number do you get? Can you make 15, 16 and 17 too? This article has detailed the individual elements that teachers can focus on to support children to gain this level of proficiency. Sweets are given out to party-goers in a particular way. Which is quicker, counting up to 30 in ones or counting up to in tens?

By explicitly drawing children’s attention to these four stages, and by spending time on them in turn, we can help children become more confident problem solvers. Is it the same number for a 12 hour clock over a whole day?

This feature is somewhat larger than our usual features, but that is because it is packed with resources to help you develop a problem-solving approach to the teaching and learning of mathematics. Zios and Zepts Age 7 to 11 Challenge Level: Sweets in a Box Age 7 to 11 Challenge Level: On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear?

Fifteen Cards Age 7 to 11 Challenge Level: In particular, it explains what we mean by ‘problem-solving skills’ and aims to give further guidance on how we can help learners to develop these skills by highlighting relevant NRICH tasks. Despite being one of the three aims of the National Curriculum DfE, problem solving often stagw forgotten about or added in, often at the end of the lesson or on a Friday.

## Working Systematically at KS2

How many cubes of each colour have we used? This challenge encourages you to explore dividing a three-digit number by a single-digit number.

Multiply Multiples 3 Age 7 to 11 Challenge Level: How many extra pebbles are added each time? Can you use the information to find out which cards I have used? Trebling Age 7 to 11 Challenge Level: How many different triangles can you make on a circular pegboard that has nine pegs? It is also the major aim of our new national curriculum. This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together. This multiplication uses each of the digits 0 – 9 once and once only.