# Useful resources for students self-studying AS/A level Mathematics and Further Mathematics

### AMSP Transition to A level: Essential Skills

These resources support students with the transition from GCSE to A level Mathematics. They focus on developing six essential skills and explore how these are applied across key topics in A level Mathematics.

#### Useful for:

Supporting students with the transition from GCSE to A level Mathematics.

Go to resource**

### AMSP Transition to A level course

This self-study online course focuses on techniques and concepts from Higher Tier GCSE that will be further developed at A level. It also gets students thinking about the key concepts that underpin A level Mathematics. Students can sign up for this course for free.

#### Useful for:

Supporting students with the challenging transition from GCSE to AS and A level Mathematics.

Go to resource**

### Integral A level videos

This collection of short videos supports the learning of the content of AS/A level Mathematics. All are 4-10 minutes in length and are designed to introduce you to the key concepts. They are a good place to start before working through AS/A level Mathematics questions and activities.

You can obtain login details from your maths department provided your school or college has registered with the AMSP.

#### Useful for:

Self-studying new topics, reinforcing understanding, revising.

Go to resource**

### Underground Maths

This set of rich resources encourages explanation of the connections between mathematical topics and thinking in a variety of different ways about the same topic.

The topics are linked to the curricula for A level Mathematics and Further Mathematics.

#### Useful for:

Developing mathematical thinking and making connections between topics.

Go to resource**

### Nrich

These activities focus on developing problem-solving skills, which are a key focus of A level Mathematics and Further Mathematics.

The resources are mapped to the curricula for A level Mathematics and Further Mathematics. There is additional support for students preparing for STEP, MAT or other advanced problem-solving examinations.

#### Useful for:

Developing problem-solving skills and applying maths in new contexts.

Go to resource**

### Plus Maths

An online magazine, which highlights practical applications of maths, including articles, puzzles, podcasts, videos and reviews. It’s great for students thinking of applying for maths or related degrees, or similar future study.

#### Useful for:

Wider reading about maths and learning more about how maths is applied in the world around us.

Go to resource**

### Making Statistics Vital

Statistics tasks and activities, which include topics from A level Mathematics and Further Mathematics.

Not all topics will be applicable to all students so check which ones are relevant to the course being followed.

#### Useful for:

Developing problem-solving skills in statistical contexts.

Go to resource**

### STEP Support Programme

An online programme to help develop advanced mathematical problem-solving skills and prepare for STEP exams.

#### Useful for:

Preparing for STEP examinations; also useful for trying some more challenging problems.

Go to resource**

### Imperial College online courses

A series of self-paced courses for A level Mathematics:

- A level Mathematics for Year 12
**Course 1:**Algebraic Methods, Graphs and Applied Mathematics Methods**Course 2:**Calculus, Newton’s Laws and Hypothesis Testing

- A level Mathematics for Year 13
**Course 1:**Functions, Sequences and Series, and Numerical Methods**Course 2:**General Motion, Moments and Equilibrium, The Normal Distribution, Vectors, Differentiation Methods, Integration Methods and Differential Equations

These courses are designed for students aiming for an A* in A level Mathematics. They can also be helpful for anyone who wants to consolidate their knowledge of A level Mathematics.

Access is free, but you will need to set up an account. Then search for ‘A-level Mathematics’ to find the course you want to enrol on and select the ‘Audit This Course’ option.

#### Useful for:

Consolidating A level topics using more challenging material.

Go to resource**

### AMSP Problem Solving Matters

This AMSP course is for Year 12 students from state-funded schools, academies and colleges who are interested in applying for places at Oxford University, Imperial College, Durham University and Warwick University to study Mathematics or for students who wish to improve their mathematical problem-solving skills in preparation for a university course.

#### Useful for:

Tuition and online support for students applying for one of the above courses in autumn 2020 for entry in the 2021-22 academic year.

Go to resource**

### Risps

Risps, or ‘Rich Starting Points for A level Mathematics’, is a freely available collection of 40 open-ended investigative activities for A level Mathematics. These activities encourage deeper thinking about various areas of the curriculum including algebra, differentiation and trigonometry.

A similar set of resources is available for A level Further Mathematics.

#### Useful for:

Thinking more deeply about mathematical topics through investigation.

Go to resource**

### Further Maths Videos

This collection of short videos support the content of AS/A level Further Mathematics. All are 5-10 minutes in length and are designed to introduce you to the key concepts. They are a good place to start before working through AS/A level Further Mathematics questions and activities.

Individual videos are provided for each of the four main AS/A level specifications (AQA, Edexcel, MEI and OCR).

#### Useful for:

Self-studying new topics, reinforcing understanding, revising.

Go to resource**