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.

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nrich problem solving key stage 2

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?

nrich problem solving key stage 2

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?

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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.

nrich problem solving key stage 2

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.

NRICH PROBLEM SOLVING KEY STAGE 2

Becoming confident and competent as a problem solver is a complex process that requires a range of skills and experience. It is also the major aim of our new national curriculum. How many possible necklaces can you find? What do you notice? Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

Then we build around that red cube with blue cubes and so on. What’s in the Box? Can you get four in a row? Think of a number, square it and subtract your starting number. What do the numbers shaded in blue on this hundred square have in common? Here are some useful problem-solving skills:. Can you use what you’ve found out to predict the number for four red and two green?

Can you use what you’ve found out to predict the number for four red and two green?

Using NRICH Tasks to Develop Key Problem-solving Skills

What questions would you like to ask? Play this game and see if you can figure out the computer’s chosen number. Can you use the number sentences to work out what they are? To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom jrich. Can you find out where all the numbers have got to from these ten statements?

Working Systematically at KS2 :

How many different shaped boxes can you design for 36 sweets in one layer? Can you put the numbers 1 nrrich 8 into the circles so that the four calculations are correct?

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Ordered Ways of Working Upper Primary These activities lend themselves to systematic working in the sense that pproblem helps to have an ordered approach.

What do we mean by ‘problem-solving skills’? Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only? Have a go at balancing this equation.

nrich problem solving key stage 2

How many Zios and how many Zepts were there? Register for our mailing list. You could try for different numbers and different rules.

Multiplication and Division KS2 :

Use the information to find out what the three numbers were. What happens when you enter different numbers? Find the chain which contains the smallest possible numbers. What’s the Problem with Problem Problme

solvjng The skills needed for a problem-solving task By this we mean the problem-solving skills listed above in Stage 2: Which is quicker, counting up to 30 in ones or counting up to in tens? Age 7 to 11 Challenge Level: Sweets in a Box Age 7 to 11 Challenge Level: To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

The numbers 1 – oslving may be used once and once only. Is there only one solution in each case?

Tom and Ben visited Numberland. 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. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?

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How do the images solvin to explain this?

nrich problem solving key stage 2

The stages of the problem-solving process The problem-solving process can usually be thought of sstage having four stages: Can you find the smallest number that lights up problemm four lights?

However, whilst children need to be fluent with the mathematical content demands of any problem they tackle, it may be more productive to choose a problem that builds on a specific element of problem solving that you are working on as a class, and uses content that they are very familiar, and more confident, with.

Multiplication and Division KS2

These upper primary tasks could all be tackled using a trial and improvement approach. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich nrivh tasks into everyday classroom practice. Age 7 to 11 Trial and Improvement at KS2 These upper primary tasks could all be tackled using a trial and improvement approach.