### PROBLEM SOLVING HALVING KS1

Use a range of multiplicative strategies when operating on whole numbers. Practice exercises with answers PDF or Word. Which of these pocket money systems would you rather have? Follow Up Age 14 to 16 Challenge Level: A simple visual exploration into halving and doubling. As students should already be at stage 6 before they attempt such an exercise, this should not cause problems for students, though work with large numbers should be forming part of the teaching. Room Doubling Age 7 to 11 Challenge Level:

The last 2 problems require some thinking. Triangular numbers can be represented by a triangular array of squares. These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. Can you find other ways? Happy Halving Age 5 to 7 Challenge Level: Think Plan Communicate Mathematically Age 5 to

Different Sizes Age 5 to 11 Challenge Level: Addition and Subtraction KS1 Age 5 to 7 The lower primary tasks in this collection all focus on adding and subtracting. Multiplying and Dividing Age 5 to 7 Try these problems, which are all about multiplying and dividing different numbers. Geoboards Age 5 to 11 This feature brings together activities which make use of a geoboard or pegboard. Bits of Things Age 5 to 7 What happens when you split an object or a few objects into different piles?

## Doubling and halving

You can also solve problems about what happens when we add or take away different numbers! Start with 1 x n, and double and halve from there. The number of plants in Mr McGregor’s magic potting shed increases overnight.

Paper Halving Age 5 to 11 Challenge Level: These pictures show squares split into halves. This article for teachers looks at how teachers can use problems from the NRICH site to help them teach division. This activty involves using proportional adjustment to solve multiplication problems.

# Maths Search :

He’d like to put the same number of plants in each of his gardens, planting one garden each day. Question 11 requires students use a mindmap to show their answer. This is essential introductory algebra to build understanding of the language of mathematics. Te Kete Ipurangi Navigation: Adding and Taking Away Age 5 to 7 In these activities, you can practise your skills with adding and taking away.

Generalise properties of multiplication and division with whole numbers.

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. However, it does require some idea of prime numbers and how these operate.

# Word problems with doubling and halving

Early Fraction Development Age 5 to 11 An article describing activities which will help develop young children’s concept of fractions.

Pythagorean Triples I Age 11 to 16 The first of two articles on Pythagorean Triples which asks how many right angled triangles can you find with the lengths of each side exactly a whole number measurement.

What happens when you split an object or a few objects into different piles? Difficulties with Division Age 5 to 11 This article for teachers looks at how teachers can use problems from the NRICH site to help them teach division.

## Word problems with doubling and halving

How do you know they are halves? As students should already be at stage 6 before they attempt such an exercise, this should not cause problems for students, though work with large numbers should be forming part of the teaching. Doubling Fives Age 5 to 7 Challenge Level: Students who do not read this instruction could find they cannot do them, unless they assume that they have been doubled and halved.

Teaching should also cover boxes where the missing number is double one of the other numbers, and tripling and thirding too. Think Plan Communicate Mathematically Age 5 to Asks students to solve problems using doubling and halving.

This task offers opportunities to subtract fractions using A4 paper. Early Problm Activities – Number Age 3 to 5. A TKI account lets you personalise your experience – enabling you to save custom homepage layouts, create kete, and save bookmarks and searches.

Asks students to generalise the doubling and halving strategy by introducing algebraic notation. Fractions Age 7 to 11 Explore the idea of fractions using these activities.