Integral for Edexcel International

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

Edexcel International A level specifications covered

Pearson Edexcel International Advanced Subsidiary in Mathematics - XMA01
Pearson Edexcel International Advanced Level in Mathematics - YMA01
Pearson Edexcel International Advanced Subsidiary in Further Mathematics - XFM01
Pearson Edexcel International Advanced Level in Further Mathematics - YFM01
Pearson Edexcel International Advanced Subsidiary in Pure Mathematics - XPM01
Pearson Edexcel International Advanced Level in Pure Mathematics - YPM01

As well as emphasising problem solving, communication and mathematical modelling, Integral resources are fully up to date for the most recent Edexcel International specification including the changes to Decision 1.

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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.

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Integral supports the whole curriculum

Integral A level covers the whole of the International Edexcel AS/A level Mathematics, Further Mathematics, and Pure Mathematics specifications. The material is presented in topics, which are further divided into sections.

Pure 1

Algebraic expressions: Expressions and indices; Surds

Quadratics: Quadratic graphs and equations; Solving quadratics

Straight line graphs: Equations of straight lines

Equations and inequalities: Simultaneous equations; Inequalities

Graphs and transformations: Sketching graphs; Transformations of graphs

Trigonometry and radian measure: Sine, cosine and area rules; Radians

Calculus: Introduction to differentiation; Extending differentiation; Integration

Pure 2

Algebra and proof: Algebraic division; Proof

Coordinate geometry: Circle equations

Exponentials and logarithms: Exponential functions and logarithms

The binomial expansion: Using the binomial expansion

Sequences and series: Sequences; Arithmetic sequences; Geometric sequences

Trigonometry: Trigonometric identities and equations

Calculus: Maxima and minima; Integration as an area; Trapezium rule

Pure 3

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

Integration: Integrating other functions

Trigonometry: Trigonometric reciprocals and inverses; The compound angle formulae; Alternative forms

Exponentials and logarithms: Natural logarithms and exponentials; Modelling curves

Differentiation: The chain rule; The product and quotient rules; Differentiating exponentials and logarithms; Differentiating trigonometric functions

Numerical methods: Solution of equations

Pure 4

Algebra and proof: Proof by contradiction; Partial fractions

Differential equations: Introduction to differential equations

Binomial expansion: The general binomial expansion

Calculus: Implicit differentiation; Integration by substitution; The use of partial fractions in integration; Integration by parts; Volumes of revolution

Parametric equations: Parametric curves; Parametric differentiation

Vectors: Vectors in two and three dimensions; The angle between two vectors; The vector equation of a line

Further Pure 1

Complex numbers: Introduction to complex numbers; The Argand diagram; Modulus argument; Solving polynomial equations

Roots of quadratic equations: Roots and coefficients

Numerical solutions of equations: Solving equations

Coordinate systems: The parabola and rectangular hyperbola

Matrices and transformations: Introduction to matrices; Matrices and transformations; Determinants and inverses

Series and induction: Summing series; Proof by induction

Further Pure 2

Inequalities: Solving inequalities; Inequalities involving the modulus function

Series: The method of differences; Maclaurin series; Taylor series

Polar coordinates: Polar curves; Finding areas

Complex numbers: de Moivre's theorem; Applications of de Moivre's theorem; Loci in the complex plane; Transformations in the complex plane

First order differential equations: Separation of variables; Integrating factors

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

Further Pure 3

Hyperbolic functions: Hyperbolic and inverse hyperbolic functions

Further calculus: Differentiating further functions; Using standard integrals; More integration techniques

Further integration: Reduction formulae; Arc lengths and surface areas

Further matrix algebra: Matrices and transformations in three dimensions; Eigenvalues and eigenvectors

Further coordinate systems: The ellipse and hyperbola

Vectors: The vector product; The scalar triple product; The equation of a plane; Points, lines and planes

Mechanics 1

Constant acceleration: Displacement and distance; Speed and velocity; The constant acceleration formulae; Working with vectors

Moments: The moment of a force

Dynamics of a particle: Force diagrams and equilibrium; Applying Newton's second law; Connected objects

Momentum and impulse: Introduction

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

Mechanics 2

Kinematics: Projectiles; Variable acceleration

Centre of mass: Finding centres of mass

Work, energy and power: Work and energy; Power

Momentum and impulse: Newton's law of restitution

Statics of rigid bodies: Equilibrium of rigid bodies

Mechanics 3

Further kinematics and dynamics: Variable acceleration; Variable force

Elastic strings and springs: Using Hooke's law; Work and energy

Simple harmonic motion: Modelling oscillations; Oscillating mechanical systems

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

Statics of rigid bodies: Solids of revolution; Plane regions

Statistics 1

Working with data: Measures of location; Measures of spread; Representing data

Correlation and regression: Correlation; Regression

Discrete random variables: Introduction; Expectation and variance

The normal distribution: Using the normal distribution

Probability: Working with probability; Conditional probability

Statistics 2

Statistical distributions: The binomial distribution; The Poisson distribution; Using approximations

Continuous random variables: Probability density functions; Mean and variance; Cumulative distribution functions

Hypothesis testing: Introducing hypothesis testing; More about hypothesis testing

Statistics 3

Combinations of random variables: Combinations of normal distributions

Estimation, confidence intervals and tests: Sampling and estimation; Confidence intervals; Hypothesis testing

Chi-squared tests: Contingency tables; Goodness of fit

Correlation: Rank correlation

Decision 1

Algorithms: Working with algorithms; Sorting and packing

Algorithms on graphs: Minimum spanning trees; Shortest paths

Further algorithms on graphs: The route inspection problem; The travelling salesperson problem

Critical path analysis: Activity networks; Scheduling activities

Linear programming: Formulating and solving graphically

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.

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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 examplesSample
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

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

Integral for Edexcel International

Make the most of your time

Give your students the confidence they need

Stay informed about how we are supporting international schools