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- Attempt ALL questions
- You must show your working out
- Use the answers at the end of the workbook to mark your work
-You must bring the workbook on the first day back and give it to your teacher
- You will be tested on those topics on your first week back.

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Use these videos if you get stuck in the transition Workbook

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Use these videos if you get stuck in the transition Workbook

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Topics:
1. Algebraic expressions
2. Quadratics
3. Equations and inequalities
4. Graphs and transformations
5. Straight-line graphs
6. Circles
7. Algebraic methods
8. Trigonometric ratios
9. Trigonometric identities and equations
10. Vectors

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The transition from GCSE to A level Maths can be challenging but, with plenty of practice, it most certainly is a rewarding experience. The chapters below focus on activities which help students to master the key skills that are needed in both AS and A level Mathematics. The topics are mainly those found in the overlap between GCSE and AS mathematics.

Each chapter contains between 10 and 15 videos for students to watch, along with a downloadable PDF of example questions, practice questions and End of chapter exam questions for consolidation.

Please download the Instruction guide for guidance on how to use this resource.

Please note: we have deliberately not included Chapter 8 and somes of the examples, for more information please read our FAQs below .

Some examples have been deliberately not included. For example, for Chapter 1, we have Examples 1,3,4,5,7,9,10,11,12,13,14 only.

These correspond to the same example numbers within the chapter of the of the Year 1 AS Pure Maths textbook to allow you to use both resources together.

This resource will help:

to provide stretch and challenge for high achieving GCSE Maths students (aiming for grade 7-9)

students wanting to study A level Maths

students studying AS level Maths

revision for AS and A level Maths students.

Here are some ideas as to how you may use this resource:

1. GCSE Students - direct more able students to the resource for some stretch and challenge. The videos explain how to do each example question are a great learning tool.

2. Year 12 (and post-16) - after teaching a topic, direct students to the resource as a support tool as there are lots of great practice questions and exam questions.

3. Year 13 (and post-16) - try the examples, practice questions and exam questions after identifying gaps of knowledge and use as a revision tool to consolidate learning.

This resource includes:

1. Example questions

2. Video solutions

3. Practice questions

4. End of chapter exam questions.

Both. This is useful for GCSE students such as:

high achieving students who would require stretch and a challenge

GCSE students who want to study A level Maths.

This is useful for A level students as:

a resource for teachers to set as pre-requisite knowledge

helps with fluency of key skills after the summer holidays

useful for post-16 re-sit students studying A level Maths

excellent resource for AS level Maths revision.

Of course. However, why not try the example question first to see how far you get and then watch the video to see where you got stuck or even better, check your solution.

The end of chapter exam questions are mainly AS and A level Maths exam questions and were intended for students who have completed the full syllabus and consolidated it over one or two years, rather than those starting to make the transition. More consolidation may be needed before these questions can be attempted as they are exam questions.

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Free videos to assist the transition from GCSE to A level Maths | Pearson UK

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The transition from GCSE to A level Maths can be challenging but, with plenty of practice, it most certainly is a rewarding experience. The chapters below focus on activities which help students to master the key skills that are needed in both AS and A level Mathematics.

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GCSE to AS Maths and Further Maths Summer Transition Workbook

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GCSE to AS Maths and Further Maths Summer Transition Workbook

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Organised by themes of interest

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UKMT Senior Maths Challenge, happens in September

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UKMT Senior Maths Challenge, happens in September

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https://www.ukmt.org.uk/competitions/solo/senior-mathematical-challenge/archive

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Download past papers, solutions and investigations

The following materials are copyright UK Mathematics Trust and may be used in accordance with our policy on the use of intellectual property.

If you have found our materials valuable, please consider making a donation to support our work.

You can buy collections of older papers and solutions through our shop.

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Download past papers, solutions and investigations The following materials are copyright UK Mathematics Trust and may be used in accordance with our policy on the use of intellectual property. If you have found our materials valuable, please consider making a donation to support our work.

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https://undergroundmathematics.org/

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Overview

Our resources are organised into topics or stations on a map or tubemap showing the connections between them.

Watch this video or use the preceding menu to find out more.

The map

The mathematics has been organised along a system of tube lines, which reflect big themes that run through mathematics. The tubemap offers a way to navigate to resources for teaching a particular area of mathematics; resources can be accessed by clicking on a station name. Some stations are still in development and this is indicated by a construction symbol.

You can access the map at any time by clicking the Map button in the main menu.

Stations

Each station features an overarching question that could be used to stimulate curiosity. There are a number of key questions that summarise the ideas that arise in the resources. You can filter resources by selecting a key question. You can also filter resources by tube line, if you wish to choose a resource with a particular emphasis.

The resources that are available at each station may come under three headings. Resources that introduce new ideas relating to the station are in the "Introducing" section. "Developing" resources may build on these ideas or earlier work. "Review questions" are mostly drawn from past examination questions and have been chosen as ones that are interesting in nature and require non-routine thinking.

Resources

To help you find the resources you are looking for, we have classified them according to twelve resource types.

Resources are divided into sections. In some cases this may be a warm-up followed by a larger task, and others may have a problem followed by a suggestion of how to tackle it. Almost all resources contain a solution or a "Things you might have noticed" section. This may help you to think about questions you might ask students, to see areas where students could get stuck, or offer further insight into how you might use the resource in your classroom. Further support is offered in the teacher notes.

Pervasive ideas

By clicking on a pervasive idea you will find a description of how the idea arises within the resources. If pervasive ideas are highlighted in a resource they appear in the sidebar (or bottom-bar on a small screen) and in the list of resources at the station (on a wide screen).
What are pervasive ideas?
Search

Use the Search button in the top menu bar to open the search dialog.

You can search for resources by title, keywords or text within the resource. Review questions can be searched by question Ref. You can also search for pervasive ideas and mathematical processes such as visualising.

You can also browse all our material with filtering options by clicking the Browse button in the main menu.

Saving resources

You can save a resource for later by adding it to your resource collection. To do this click the star next to the resource title. Note you must log in or register to use this facility. To access your resource collection, click the User button in the top menu bar then Your resource collection.

Within your resource collection, you can organise your resources by creating ordered subcollections. To add a resource to a subcollection, click the add to subcollection icon in your resource collection table. To select a subcollection, use the drop-down list above the table. You can also generate a PDF of resources from a subcollection, which could be used to generate your own exam from our review questions, for example.

Bundles and more

The More menu in the top right contains links to the Underground hub, our About and contact page and the Your mathematical classroom section of the site.

Our About page contains a video explaining our philosophy.

The Your mathematical classroom area of the site is accessible from the More menu and has been coloured purple to distinguish it from the rest of the site, as well as having its own menu once inside this area. It contains support for using our resources in the classroom as well as professional development opportunities. This includes the Bundles page, which contains small collections of resources that have a particular focus or goal, our Resources in action page, which provides detailed teacher support for a handful of resources, our blog, upcoming and recorded webinars, a courses page, and information about our Champions programme.

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A level maths teaching resources | Underground Mathematics

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Rich resources for teaching A level maths, enabling all students to explore the connections that underpin mathematics. The resources are free for all users.

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Other transition resources to practice essential skills

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Other transition resources to practice essential skills

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https://amsp.org.uk/teachers/11-16-maths/transition-to-level-3-maths/essential-skills/

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The most popular choice at A level is Mathematics; however, many students say that they find the initial transition from GCSE to A level challenging.

These resources were designed for students to complete independently and will develop fluency in the fundamental techniques and the key mathematical concepts that underpin A level Mathematics. They can be paired with support and additional guidance from a teacher where this is available.

Each section includes:

skills checks

a chance to practise and explore

some extra ideas that you may want to investigate further

There are six sets of resources, and each set should provide about 3 hours of work. Each set includes either written worked solutions, video solutions or links to websites.

We hope students' find these resources useful, that they add depth to their understanding, and that they help them make a smooth and successful transition to AS and A level Mathematics.

Skip to content

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Transition to A level Mathematics: Essential Skills - AMSP

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The most popular choice at A level is Mathematics; however, many students say that they find the initial transition from GCSE to A level challenging. These resources were designed for students to complete independently and will develop fluency in the fundamental techniques and the key mathematical concepts that underpin A level Mathematics.