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Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

How many different symmetrical shapes can you make by shading triangles or squares?

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Can you see how this picture illustrates the formula for the sum of the first six cube numbers?

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

Some local pupils lost a geometric opportunity recently as they surveyed the cars in the car park. Did you know that car tyres, and the wheels that they on, are a rich source of geometry?

Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?

How good are you at finding the formula for a number pattern ?

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

Quadratic graphs are very familiar, but what patterns can you explore with cubics?

Explore these lower primary activities which focus on making, recognising and continuing number patterns.

Here are some ideas to try in the classroom for using counters to investigate number patterns.

How many different colours would be needed to colour these different patterns on a torus?

Take ten sticks in heaps any way you like. Make a new heap using one from each of the heaps. By repeating that process could the arrangement 7 - 1 - 1 - 1 ever turn up, except by starting with it?

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

Have you ever noticed the patterns in car wheel trims? These questions will make you look at car wheels in a different way!

Can you work out the equations of the trig graphs I used to make my pattern?

Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of 3 dominoes?

This problem is based on the idea of building patterns using transformations.

The computer starts with all the lights off, but then clicks 3, 4 or 5 times at random, leaving some lights on. Can you switch them off again?

Can you find the connections between linear and quadratic patterns?

These problems introduce number sequences and representations, and summation of series.

These articles make the case for teaching in a way that emphasises understanding of underlying structures rather than simply noticing patterns in sequences.

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

These resources are designed to get you thinking about number sequences and patterns.

The tasks in this collection encourage children to create, recognise, extend and explain number patterns.

Moiré patterns are intriguing interference patterns. Create your own beautiful examples using LOGO!

These lower primary activities offer opportunities for children to create, recognise and extend number patterns.

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

An activity making various patterns with 2 x 1 rectangular tiles.

Learn all about Wild Maths and how you can support mathematical creativity in the classroom

Explore Alex's number plumber. What questions would you like to ask? What do you think is happening to the numbers?

If you want to do interesting things with a computer, why not learn to program?

What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?

In this section from a calendar, put a square box around the 1st, 2nd, 8th and 9th. Add all the pairs of numbers. What do you notice about the answers?

Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

Here are some more lower primary number pattern tasks for you to try.

This collection of upper primary activities focus on making, recognising, continuing and explaining number patterns.

Working on these Stage 3 problems will help you develop a better understanding of patterns and sequences.

A cheap and simple toy with lots of mathematics. Can you interpret the images that are produced? Can you predict the pattern that will be produced using different wheels?

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.