# Interactive Number Square

A free learning resource for school, home or anywhere.

## Multiplication

Interactive Number Square is designed to help learners understand their times tables as well as remember them.
The number grid can be used on smart phones, tablets, computers and interactive whiteboards. Interactive Number Square allows learners to explore the times tables through the visual patterns produced on a 10 x 10 grid by the numbers in a times table.

All of the numbers in a particular times table are called multiples of that number e.g. 6, 12, 66 and 600 are all multiples of 6.

Multiplication of whole numbers can be thought of as repeated addition or adding the same number again and again. For example 3 x 7 is equivalent to 7 + 7 + 7.
This means that if a learner knows one times table fact she or he can find the rest by counting forwards or backwards from the number. For example if the learner knows that 5 x 6 is 30 then she can discover that 4 x 6 is 24 by counting back 6 from 30 and that 6 x 6 is 36 by counting on 6 from 30.

## There are 3 options:

### Find Multiples.

This option allows an independent exploration of the pattern produced by the times table. In other words...press the buttons and see what happens. The learner chooses a times table to explore. The learner can press any number. If the number is in the chosen times table the button will change to yellow and the calculation is shown; if not, it will turn to red.
Feel free to allow the learner to find the pattern by pressing random numbers or encourage the learner to count on or back from a correct multiple.

### Ordered Quiz.

The learner chooses a table and is presented with questions starting from 1 x the chosen number through to 12 x. A correct answer shows green, a multiple shows yellow and a number not in the times table shows red.

### Random Quiz.

Just like the ordered quiz but the questions are in a random order.

## Memorize or Understand?

It is important to memorize the times tables so that the multiplication facts are to hand for everyday calculations. It is also important because schools require kids to learn and remember their times tables.
Many people find it easier to remember their times tables if they understand them. This is where Interactive Number Square comes in. Memorizing your 12 times table will not help you with the 13 times table but If you understand how the times tables work all multiplication becomes possible.

## Why learn the 12 times table?

Why do many schools require kids to learn up to the 12 times table and why stop at 12? Why not learn the 15 or 18 times tables?
The answer probably goes back to pre-decimal measurement systems where 1 dozen = 12 and 1 gross = 12 x 12.

Many schools now teach up to the 10 times table rather than 12 with the highest calculation being 10 x 10. All of the times tables can then be shown on a 100 square. The focus is on the learner understanding the times tables and using the knowledge to multiply larger numbers. For example 18 x 4 can be understood as 10 x 4 plus 8 x 4.

However, learning the 12 times table gives learners confidence in using larger numbers, especially when they realise that the 11 times table is easy.

Interactive Number Square has a default 10 x 10 grid which extends to include up to the 12 times table.

The Free Style 100 square is used mainly for addition and subtraction but is flexible to allow many maths processes. It can be used for simple counting through to more complex addition and subtraction.

The hundred square is useful as it allows learners to visualise the tens and units. You can use different colours to reprsent the tens and units.

To add 2 numbers together start with the first number and break the second into tens and units and then add on the tens and then the units (ones).

For example: 24 + 53

24 is made of 2 'tens' and 4 'ones' or units.

Choose a colour and click 53.
Count on 10 from 53 and click 63.
Count on 10 from 63 and click 73.
Count on 4 from 73 and click 77.

I would use one colour to show the tens jumps and another for the final ones jump.

### Subtraction

As above, but in reverse.

### Skip counting

Pick a number and count on or back from there in 5's, 2's 11's or whatever you fancy. This is great for improving mental agility.

### Fill in the gaps

Useful for early learning.

Hide chosen numbers on the square and ask the learner to work out which are missing.

## What's in a name?

There are many names for the 100 square including:
100 chart, multiplication chart, multiplication square, number chart and number square.

Our partner app Get It Times Tables can be used without internet connection on smart phone or tablet.