Maths Without Limits
Opening Young Minds to Endless Possibilities

Add and Subtract

Degrees of Heat and Frost
Degrees of Heat and Frost

Negative numbers can be a confusing topic for children if they are simply taught rules.   The ‘two minuses make a plus’ rule is a classic one for causing confusion as it is often applied wrongly.  ...

Doubling and Halving by Partitioning
Doubling and Halving by Partitioning

  This activity was designed for, and used successfully, with a group of capable 8 year olds who had just been introduced to the standard written method of addition.  The objectives were as...

Before & After Problems
Before & After Problems

Using a diagram is a really important problem-solving strategy. Depending on the type of problem, different diagrams will be useful. This exploration looks at one group of problems - ‘before and...

How to Help Young Children to Add & Subtract
How to Help Young Children to Add & Subtract

  Why do they do sums this way instead of this way? INTERESTING FACT:  Children who are held back from learning the written methods for addition and subtraction, and are first encouraged to...

Populations
Populations

This exploration introduces pupils to the Worldometer population table and then gives them various challenges to consolidate their skills in finding information in a table, reading large numbers...

Populations
Populations

Investigate the populations of towns or countries and learn how to work out how many more people live in one town than another and how many times bigger one town is compared with another....

Formulas for Sequences
Formulas for Sequences

Investigate the connection between number sequences and the rules that generate them. Begin by exploring two simple matchstick patterns and develop into investigating line graphs for formulas.  

Number Chains and Digit Wheels
Number Chains and Digit Wheels

Make beautiful patterns with this wide-ranging investigation into the digit patterns that you get when you repeatedly add or subtract a single digit to or from a larger number.   Links well both to...

The Number Triangle Game
The Number Triangle Game

When children first learn to add and subtract, they will be encouraged to use their fingers to help them. This is a good strategy for small numbers.  Once they have understood the concepts, they...

Sums and Differences
Sums and Differences

Small numbers are not always easy!   This pair game will provide challenge and develop problem solving skills while you are consolidating addition and subtraction facts within 20.  

Metre Stick Jumps
Metre Stick Jumps

This series of practical activities with metre sticks is excellent for developing children’s thinking in adding and subtracting multiples of ten from any two digit number.  

Back to Back Metre Sticks
Back to Back Metre Sticks

Ever heard of learning money with metre sticks!?  This elegant but simple activity will help develop recall of the number pairs that add to make 100 and so help with finding change from £1.  

Tap Say Turn Change from £1
Tap Say Turn Change from £1

Get to grips with money with this versatile game designed to develop rapid recall of number pairs to 100(10 + 90, 20 + 80 and then 25 + 75, 35 + 65 etc.) Secure knowledge of these facts makes...

Good Morning Mr Shopkeeper
Good Morning Mr Shopkeeper

Good Morning, Mr Shopkeeper, I would like a pencil. That wil be 6 pence!  A simple game to help build up the concept of change from 10p or from £1.  

Find the Treasure
Find the Treasure

 Get to grips with missing number problems like 7+?=15 using these engaging games on a floor number track.  Teach the games to the class and then leave the track in place while the children do their...

Tap Say Turn Number Bonds
Tap Say Turn Number Bonds

 Play this simple game to develop rapid recall of the story of ten (6+4=10 etc), the doubles (7+7=14 etc) and the teens facts (10+3=13 etc). Play it in class, with pupils all working individually,...