### MATHS PROBLEM SOLVING KS1 NRICH

Our Numbers Age 5 to 7 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. Can you work out how to balance this equaliser? Follow the clues to find the mystery number. Number Talks Age 3 to 5 Recognising, creating and describing patterns with numbers.

Help share out the biscuits the children have made. 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. In how many different ways can you break up a stick of 7 interlocking cubes? Domino Patterns Age 5 to 7 Challenge Level: If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which way should you go to collect the most spells? Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

Domino Patterns Age 5 to 7 Challenge Level: What numbers can be made with six beads?

## Problem Solving

Now try with a stick of 8 cubes and a stick of 6 cubes. Age 5 to 7 Trial and Improvement at KS1 These lower primary tasks could all be tackled using a trial and improvement approach.

Domino Sequences Age 5 to 7 Challenge Level: This problem is intended to get children to look really hard at something they will see many times in the next ks months.

Can they make their lines the same length? Are there any left over each time?

# Addition and Subtraction KS1 :

Can you find some paths of your own? Writing Digits Age 5 to 7 Challenge Level: Use the number weights to find different ways of balancing the equaliser. If there are 3 squares in the ring, can you sopving three different numbers in them so that their differences are odd?

These lower primary tasks could all be tackled using sokving trial and improvement approach. In the second article, Jennie offers you practical ways to investigate aspects of your classroom culture and in the third article, she suggests three ways in which we can support children in becoming competent problem solvers.

What strategies did you use?

## Patterns and Sequences KS1

Sweets are given out to party-goers in a particular way. 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.

Two Dice Age 5 to 7 Challenge Level: Can you each work out the number on your card? Hundred Square Age 5 to 7 Challenge Level: Two children made up a game as they walked along the garden paths.

Maisy Goes Camping Age 3 to 5 Using everyday language to talk about addition and subtraction. Repeating Patterns Age 5 to 7 Challenge Level: Finding All Possibilities Lower Primary These activities focus on finding all possible solutions so working in a systematic way will ensure none are left ndich. This feature draws together tasks which give learners opportunities to reason for different purposes. Multiplication and Division KS1.

# Counting and Ordering KS1 :

How Odd Age 5 to 7 Challenge Level: Weighted Numbers Age 5 to 7 Challenge Level: In Sam and Jill’s garden there are two sorts of ladybirds with 7 spots or 4 spots. This challenge involves eight three-cube models made from interlocking cubes.

This big probpem adds something to any number that goes into it. Number Lines Age 5 to 7 Challenge Level: If you hang two weights on one side of this ka1, in how many different ways can you hang three weights on the other side for it to be balanced? On the same day he sowed a bean in another pot. Read Lynne’s article which discusses the place of problem solving in the new curriculum and sets the scene. Can you lay out the pictures of the drinks in the way described by the clue cards?