Integral for WJEC

Integral A level is designed to develop deep mathematical understanding and all the skills students need for their AS/A level studies and beyond.

CCEA A level specifications covered

WJEC GCE AS Level Mathematics - 2300QS
WJEC GCE A Level Mathematics - 1300QS
WJEC GCE AS Level Further Mathematics - 2305QS
WJEC GCE A Level Mathematics - 1305QS

As well as the English language version, Welsh language versions of the exercises, on-screen tests and notes & examples are available.

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Make the most of your time

Integral has everything you need, all in one place.
Our rich bank of easy-to-navigate resources covers the whole curriculum, providing you with thousands of teaching and learning materials.
Track and assess your students progress using powerful analytics.
The resources include teaching ideas and classroom activities, allowing you to focus on planning, teaching and reviewing.

Give your students the confidence they need

Integral A level is designed to develop deep understanding and the skills students need to apply maths.

Integral is bursting with teaching ideas and activities to facilitate practice and understanding, and get students to discuss maths and work through problems together.

Exercises practise the hand-written maths skills they need for exams and beyond.

It’s also the ideal companion for independent learning.

Integral supports the whole curriculum

Integral A level covers the whole of the UK A level Mathematics and Further Mathematics curriculum, including content tailored for WJEC specifications. The material is presented in topics, which are further divided into sections.

Mathematics

Year 1 (AS) Pure

Problem solving: Problem solving and modelling; Notation and proof

Surds and indices: Surds; Indices

Quadratic functions: Quadratic graphs and equations; The quadratic formula

Equations and inequalities: Simultaneous equations; Inequalities

Coordinate geometry: Points and straight lines; Circles

Trigonometry: Trigonometric functions and identities; Trigonometric equations; The sine and cosine rules

Polynomials: Polynomial functions and graphs; Dividing and factorising polynomials

Graphs and transformations: Sketching graphs; Transformations of graphs

The binomial expansion: Using the binomial expansion

Differentiation: Introduction to differentiation; Maximum and minimum points; Extending the rule; More differentiation

Integration: Introduction to integration; Finding the area under a curve; Further integration

Vectors: Working with vectors

Exponentials and logarithms: Exponential functions and logarithms; Natural logarithms and exponentials; Modelling curves

Year 1 (AS) Applied

Collecting and interpreting data: Collecting data; Single variable data; Bivariate data

Probability: Working with probability; Probability distributions

Statistical distributions: The binomial distribution; The Poisson and uniform distributions

Statistical hypothesis testing: Introducing hypothesis testing; More about hypothesis testing

Kinematics: Displacement and distance; Speed and velocity; The constant acceleration formulae

Forces and Newton's laws: Force diagrams and equilibrium; Applying Newton's second law; Connected objects

Variable acceleration: Using calculus

Year 2 Pure

Proof: Methods of proof

Trigonometry: Working with radians; Circular measure and small angle approximations

Sequences and series: Sequences; Arithmetic sequences; Geometric sequences

Functions: Functions, graphs and transformations; Composite and inverse functions; The modulus function

Differentiation: The shape of curves; The chain rule; The product and quotient rules

Trigonometric functions: The reciprocal trigonometric and inverse trigonometric functions

Algebra: The general binomial expansion; Rational expressions; Partial fractions

Trigonometric identities: The compound angle formulae; Alternative forms

Further differentiation: Differentiating exponentials and logarithms; Differentiating trigonometric functions; Implicit differentiation

Integration: Finding areas; Integration by substitution; Further techniques for integration; Integration by parts

Parametric equations: Parametric curves; Parametric differentiation

Vectors: Vectors in three dimensions

Differential equations: Forming and solving differential equations

Numerical methods: Solution of equations; Numerical integration

Year 2 Applied

Probability: Conditional probability

Statistical distributions: The normal and uniform distributions

Statistical hypothesis testing: Using the normal distribution; Testing for correlation

Kinematics: Motion in two dimensions

Forces and motion: Resolving forces; Newton's second law in two dimensions

Moments of forces: Rigid bodies

Projectiles: Introduction; General equations

A model for friction: Working with friction

Further Mathematics

Further Pure A

Matrices and transformations: Introduction to matrices; Matrices and transformations; Invariance; Determinant and inverse

Complex numbers: Introduction to complex numbers; The Argand diagram

Roots of polynomials: Roots and coefficients; Complex roots of polynomials

Sequences and series: Summing series; Proof by induction

Complex numbers and geometry: Modulus and argument; Loci in the complex plane

Vectors and 3-D space: The scalar product; The equation of a line; The equation of a plane; Finding distances

Further Pure B

Matrices: Determinant and inverse of 3x3 matrices; Matrices and simultaneous equations

Trigonometry: Further trigonometric equations

Further calculus: Improper integrals; The inverse trigonometric functions; Further integration

Polar coordinates: Polar curves; The area of a sector

Maclaurin series: Using Maclaurin series

Hyperbolic functions: Introducing hyperbolic functions; The inverse hyperbolic functions

Applications of integration: Volumes of revolution; Mean values and general integration

First order differential equations: Introduction; Integrating factors

Complex numbers: de Moivre's theorem; Applications of de Moivre's theorem

Second order differential equations: Homogeneous differential equations; Non-homogeneous differential equations; Systems of differential equations

Further Statistics A

Discrete random variables: Expectation and variance; Combinations of random variables

The Poisson distribution: More about the Poisson distribution

Continuous random variables: Probability density functions; Expectation and variance; Cumulative distribution functions; The exponential distribution

Bivariate data: Product moment correlation; Rank correlation; Regression

Chi-squared tests: Contingency tables; Goodness of fit

Further Statistics B

Statistical distributions: Combinations of Normal variables; The distribution of sample means

Samples and populations: Unbiased estimators

Confidence intervals: Using the normal distribution; Further confidence intervals

Hypothesis testing: Using the normal distribution; Using the t-distribution

Non-parametric tests: The Wilcoxon signed-rank test; Two sample and paired sample tests

Further Mechanics A

Work, energy and power: Work and energy; Power; Elastic potential energy

Impulse and momentum: Introduction; Newton's experimental law

Circular motion: Motion in a horizontal circle; Motion in a vertical circle

Differentiation and integration of vectors: Using vectors

Further Mechanics B

Rigid bodies: Equilibrium of rigid bodies

Centre of mass: Finding centres of mass; Solids of revolution

Kinematics: Differential equations; Impulse and momentum in two dimensions

Simple harmonic motion: Introduction to SHM; Oscillating mechanical systems

Each section contains a standard set of resources, including:

Interactive resources

Supporting your students to study independently

Sequences of on-screen activities allowing students to meet, explore and practise new concepts independently. They're interactive and dynamic, and come with step-by-step instruction.

Notes, examples and crucial points

Helping to clarify understanding

Thousands of pages of high-quality and extensive notes, helpfully-written to be accessible to all. They feature fully-worked examples and explain common misconceptions.

On-screen tests

To monitor progress all the way to examination

On-screen tests for assessing the level and depth of students' skills, to monitor progress all the way to examination. Immediate feedback is available through powerful analytic tools.

Exercises

To build your students confidence

Three levels of exercises:

basic practice
exam standard
extension questions

Fully-worked solutions are provided to all questions.

Teaching activities

Helping you to make the most of your time

An extensive range of materials, providing lesson ideas and activities with corresponding student materials.

Previous resource Next resource

Interactive
Notes
On-screen tests
Exercises
Teaching activities

We've put a lot into it

120sections
700pages of helpful notes
500crucial points
1800written exercise questions
1200online test questions
500exam-style questions
300teaching ideas and resources
400interactive resources

Take a look at some sample resources

notes and examples (Cymraeg)Sample
written exercisesSample
teaching activitiesSample
interactive resourcesSample

I have found the videos invaluable, particularly when teaching Further Mathematics, in order to support my own understanding before teaching the students.

The additional teaching resources, including the group work activities and interesting starter activities that have supported our students in their understanding of the topics taught, are fantastic.

Staff and students alike have benefitted from using the Walkthroughs, with students able to access these from home in order to build their confidence. With the Large Data Sets, Integral has been the only place where we’ve found quality resources that we can pick up and use without having to tweak or produce our own.

Communication with the staff at Integral is also a massive plus for us. Whenever we have had issues or questions, they have responded quickly with explanations and have worked with us when there were details we weren’t sure about.

Sheena

Maths teacher

Jack Hunt School

The teaching activities section for each topic is a gold mine. I love the links to GeoGebra tasks which allow us to explore concepts more deeply with students. I use the problem solving shorts as starters or intermittently through a lesson once a concept has been taught. The matching activities save time re-inventing the wheel, and we’ve found our students really engage with them, and like to compete with each other to be the best! In short – the resources allow us to plan more engaging and effective lessons in less time.

All students have their own accounts and we direct them to the notes and examples, walkthrough activities and skill packs during independent learning time. I like that we are able to track whether a student has accessed a resource or not. We use the level 1 exercises through teaching and build into the level 2 exercises either as part of the lesson or independent study. Having the solutions online is really valuable, as the students can see where they went wrong without having to seek out a member of staff. These practice questions supplement our textbook questions and later in the year can be used as revision. The level 3 exercises are great for stretch and challenge independent tasks and our top students really enjoy tackling these.

I love that Integral is a resource which develops the much needed skill of independence in our students. We set the topic assessments as end of topic homework tasks, and grade these to exam standard. I like the mix of questions, some are accessible to all and others are problem solving and pose more of a challenge. We track their results of these to help us monitor student progress throughout the year.

Finally, I find the tutor forum to be a brilliant place to ask and answer questions; collaborative working on a National level! We also use Integral for our Core Maths teaching and learning and our Level 2 Further Maths class – we await the updated version of this qualification with great anticipation for the new spec!

Suzy

Maths teacher

Helston Community College

Integral resources enabled me to make statistics hands-on and practical for the students. Integral meant I could concentrate on delivery rather than creating lots of resources.

My students also use the section tests. The way Integral reports on them allows me to quickly identify any misconceptions my students might have.

Emma

Maths teacher

Brompton Academy

Welsh language versions of WJEC notes, exercises and on-screen tests are available.

High quality and affordable

Integral has been developed by experts at MEI.

MEI is an independent charity, committed to improving maths education. Our maths education specialists have considerable classroom experience and deep expertise in the teaching and learning of maths.

As a charity, MEI is able to focus on supporting maths education, rather than generating profit. That's why we're able to offer fantastic resources at a low price.

Easy to use

Designed for use on both desktop and tablet devices
Access from school, college, university and home at any time

We offer two tiers of access: Teacher and Teacher & Student. ‌

Teacher
Your teachers will get access to all of the resources for AS/A level Mathematics and Further Mathematics for your chosen specification. This includes the Teaching activities section where you will find lots of ideas to use in the classroom.
Teacher & Student

This will provide each of your teachers and students an individual login to Integral. Students will be able to watch teaching videos; access notes and examples, interactive books, Skillpacks and Walkthroughs; and take online, self-marked tests for each topic chapter. Teachers will have the same access as the Teacher subscription, plus they will also be able to track the online test results through powerful analytics.

The cost of a subscription to the Teacher & Student tier is based on the number of students you want to give access.

Revision deal!

We’re currently offering a special revision subscription to Integral - a massive 50% off the usual full-year price!

This special subscription will run until 30 June 2023.

Courses and extras	Teacher	Teacher and Student
AS/A level Further Mathematics (individual spec)	‌	‌
AS/A level Further Mathematics videos	‌	‌
Large Data Set resources (individual spec)	‌	‌
AS/A level Mathematics (individual spec)	‌	‌
AS/A level Mathematics videos	‌	‌
Individual student accounts		‌
Student tracking		‌
Student online tests		‌
	£290£145	Calculate

All subscriptions include:

Unlimited staff accounts
Access to all A level content tailored to your specification
Advanced student tracking features
Expert email and phone support

Subscriptions run from as early as 1 July through to 30 September the following year.

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Let us show you around the resources. We'll arrange a free online tour, at your convenience, for staff in your school or college.

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Integral for WJEC

Make the most of your time

Give your students the confidence they need

Integral supports the whole curriculum

Mathematics

Further Mathematics

Interactive resources

Notes, examples and crucial points

On-screen tests

Exercises

Teaching activities

We've put a lot into it

Take a look at some sample resources

High quality and affordable

Easy to use

Subscribe

Teacher

Teacher & Student

Revision deal!

Number of students

Subscription price

Thinking about subscribing?