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### Matrices

Are you ready to enter the matrix? In this feature you will discover how matrices can be multiplied, explore how they can be used to represent transformations, use them to model probability problems and explore four dimensional numbers.

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### How well do you know your quadrilaterals?

The problems and games in this feature will challenge you to visualise quadrilaterials.

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### STEP On Up

In this feature there are 4 problems based on STEP questions, all of which involve number theory.

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### Trigonometry feature

In this feature we are exploring and proving some results about tetrahedrons.

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### A Quartet of Tetrahedra

In this feature we are exploring and proving some results about tetrahedrons.

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### Playing with Mathematical Sudokus

In this feature, we challenge you to solve our Mathdokus, a mathematical variation of the well-known Sudoku

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### Symmetry, Substitutions and Surprises

In this feature you will be challenged to derive elegant and efficient solutions to problems which, at first sight, might seem very difficult.

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### Amazing Algebra

We hope that these problems will help you appreciate that algebra can be a versatile tool for solving a range of problems.

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### To Iff or not to Iff?

This feature will introduce the symbols $\implies$ and $\iff$ and challenge you to reason logically and create true statements using these symbols.

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### Are you sure?

In this feature you are invited to explore a variety of problems, and are then asked to construct convincing arguments to explain what you have discovered.

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### The Art of Deduction

The problems in this feature offer you the chance to explore geometrical properties, and then challenge you to create clear, rigorous proofs.

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### Geometrical Reasoning

The problems in this feature offer you the chance to explore geometrical properties, make conjectures and create proofs to show that these are always true.

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### Sums, Squares and Substantiation

The problems in this feature challenge you to create convincing arguments or "proofs", and to identify where the logic breaks down in some "dodgy proofs".

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### Can you Prove it?

The problems in this feature offer you the chance to identify number patterns, make conjectures and create convincing mathematical proofs.

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### Do you know your Carbon Footprint?

The problems in this feature will encourage you to explore the impact that your lifestyle choices have on the environment.

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### Maths and climate change

The problems in this feature will allow you to explore the impact of lifestyle choices and help you gain a better understanding of the contributors to global emissions.

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### Networks

The resources in this feature introduce you to the world of networks and graph theory.

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### Graph Theory and Networks

The resources in this feature have been designed to give you an introduction to the world of graph theory and networks, and to their applications.

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### Planning ahead

This collection of activities offers you a variety of playful contexts in which you will be challenged to plan ahead and analyse the outcomes.

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### Can you plan strategically?

This collection of activities offers you a variety of playful contexts in which you will be challenged to plan ahead and analyse the outcomes.

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### Around and around

The problems in this feature will give you the chance to investigate the properties of numbers in a variety of contexts.

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### Modular Arithmetic

Enter the world of modular arithmetic and discover the secrets of public key cryptography.

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### Adventures with Numbers

This feature introduces you to number theory, a rich source of interesting problems which can lead to surprising results.

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### Some problems in Number Theory

Number theory is a rich source of interesting problems which can lead to surprising results.

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### Uphill and Downhill

A chance to consider the equations of straight line graphs before moving on to consider the properties of quadratics and cubics.

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### Curve Sketching Feature

Curve sketching can be a very useful tool when you are solving equations or inequalities.

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### Take a Chance

Probability can help you make better choices and challenge commonly-held misconceptions.

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### Can you think flexibly?

The problems in this feature challenge you to explore different ways of arriving at a solution

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### Becoming a Better Mathematician

What makes a good mathematician? This feature will help you to build your mathematical muscles.

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### Comparing and Matching

A chance to compare numbers expressed in different ways, and to use these different representations in calculations.

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### Picturing with Rods

Use Cuisenaire rods to help you visualise patterns and relationships with numbers

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### Working backwards, leaping forwards

Working backwards can help you to make great leaps forwards!

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### Seeing is Believing

Some mathematical results can be proved beautifully with just a simple diagram...

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### Identifying Trigonometry

These CMEP resources explore the use of trigonometric identities and other trig features

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### Graphs and Networks

Be playful with graphs and networks, and see what theorems you can discover!

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### Curvy calculus

These resources from CMEP explore some aspects of differentiation and integration

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### Transforming Ideas

In this feature, explore what happens to functions when you transform their graphs

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### Plotting Graphs

You can get a great feel for functions by sketching their graphs or using graph plotting software...

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### Making sense of data

What stories do complicated data sets tell us? How can we present the information clearly?