A Level Core

Core 1 Core 2 Core 3 Core 4

Top Universities for Maths

List of the top 20 UK universities for Mathematics this year.

AQA Core 1

Quadratics Practice 2016

Six questions, of progressive difficulty, each on 'complete the square then solve', 'factorise then solve', 'quadratic formula to solve'. PDF here.

Core 1 Quadratic Problem Solving Questions

Five worded problems requiring knowledge of quadratic algebra to solve.

Quadratic Formula Synthesis

Complete the steps in the table to get from ax2+bx+c=0 to the quadratic formula. Or, cut out the steps and ask students to arrange them in the correct order. Answers on page 1, empty table on page 2.

Max Box

What's the biggest area you can contain with x cm of string? Whats the biggest volume you can contain with an A4 sheet of paper? Not as easy as it seems! Our answers and Autograph file used.

Remainder Theorem

An explanation via example of Remainder Theorem. A set of Notes on Division of Polynomials.

Indices Rule

How the rules of indices work. Follow them and you can't go wrong!

A Level Formulae

A lovely spider diagram jpeg noting all the useful formulas required for A Level Mathematics. Print out, explore, learn.

This resource came via Mr Ho, our PGCE student teacher, from the UEA, Norwich. It's not our work but we like it!

Core 1 Revision Pairs

Interactive match up pairs starter activity for key elements of Core 1 revision.

Quadratic Discs

Six questions to find everything out about the quadratic expressions.

Factorising Quadratic Types

Prompt for learning where to put + & - symbols when factorising quadratics.

GCSE A Grade - As Level Question Cards

A set of questions taken from the AQA Additional Maths specimen paper. A great GCSE A/A* extension or As introduction. Ask pupils to order by difficulty using this template and then attempt all that they can. Lesson plan.

GCSE A Grade Algebra Question Match-up Cards

A set of 26 A-Grade algebra questions on simplifying, rearranging and solving. Pupils match up questions to answers and then use as support, or just for checking, to solve questions. A set of 'rich questions' to go with this activity.

Quadratic Practice

Three quadratic equations, of varying difficulty, to solve via each of the three methods: Factorising, Completing the Square & Quadratic Formula.

Three versions of this: Easy, Medium or Hard.

Practice at completing the square.

Differentiation, Coordinate Geometry and Factor Theorem Rich Task

Resources to test deep understanding of differentiation to solve problems, factor theorem for drawing polynomials and coordinate geometry. This activity composed the key part of a Yr11OFSTED OUTSTANDING lesson.

Starter Questions plus Autogrpah files: Coordinates, Factor Theorem
Polynomials and Differentiation to test prior understanding plus Autograph file
Main task on white background or on coloured background
Main task with hints on white version or on coloured background
Main task Autograph files: Coordinates, Differentiation, Factor Theorem
Lesson Plan

Factor & Remainder Theorem Questions

Some, relatively simple, questions on using the factor & remainder theorem.

Core 1 Coordinate Geometry Notes

Very simple notes on coordinate geometry: gradient of a line, distance between two points, midpoints, negative reciprocal....

Differentiation Puzzle

Matchup the equation, differential, specific coordinate, gradient at specific points, stationary points and tangent. Includes two versions; one Core 1, one Core 2. Geogebra file used (edit the equation to fit). Images of graphs.

Core 1 Terminology

List of commonly confused exam terminology and thier meanings. A3 poster version. Cut them out and match them up version.

AQA Core 2

Factorising Polynomials

Use combinations of the factors given to make the polynomials. An easier and harder version with answers included for both. Pdf here.

Graph Transformations

Kinesthetic activity for students. Print out the graphs onto A4 paper, then print the final 6 slides onto accetate and cut up. Pupils use the accetates to show the required graph transformations. Smaller print version, this one prints all the original graphs onto 2 A4 sides, another page on tracing paper for the graphs.

Compound Transformations

Students use the equations given, together with some of thier own creation, to match to the written transformations. Extension questions too on order of transformations.

Core 2 Trig Recap

Four questions based on each of; Pythagoras, standard right-angled trig, sine rule, cosine rule and sine rule for area. Answers included

Core 2 Solving Trig Equations Tarsia

18 questions to thoroughly test students understanding of solving trig equations giving all answers in the correct region and using both degrees and radians. The Tarsia program for Windows is license free. Trig Identity warmup questions.

APs & GPs

Notes on A Level APs & GPs (Arithmetic Progressions & Geometric Progressions).

Arithmetic Progression and Geometric Progression Intro Questions

Several quick - miniwhiteboard - questions to get students up to scratch on AP's. Includes sequence and series questions in both AP and GP.

Logarithms Rule

Very simple notes on the rules of logarithms. Some accompanying images...

Solar system log graph Old calculator
Old calculator Slide rule

Binomial Activity

Four different introductions to the binomial expansion. Spread around class, complete, and then present to other students. An activity to really reinforce the imprortance of the binomial expansion across several areas of Mathematics.

Binomial smartboard file
Binomial lesson plan

Binomial Expansions

A progression of binomial expansions to take students from the very straightforward (x+1)3 to (3-2x)5 in easy steps.

Binomial Expansion Concept Questions

A couple of questions to highlight finding all terms vs using binomial formula to find just one term. Contains an easier and harder question, with answers.

Core 2 (AQA) Revision Notes

All of the required formulae for Core 2 on a single side of A4. Arranged into those formula that must be remembered and those that are given in the formula book. Tested and much appreciated by my sixth form class!

AQA Core 3

Integration by Substitution Writing Frame

A writing frame for students to get used to method of integration by substitution. Includes blank template and a completed example, covers change of limits and re-sub methods. Pdf version.

How to get Exam Marks...

Notes on how exam marks are typically awarded for Integration by Substitution, Integration by Parts and Differential Equation questions. Includes a writing frame, practice of several questions and answers (questions taken from the AQA syllabus).

...for Integration by Substitution and Pdf version.

...for Integration by Parts and Pdf version.

...for Differential Equations and Pdf version.

Chain, Product, Quotient Tough Recap

A set each of chain rule, product rule and quotient rule questions. Each set including easy, medium and hard questions (the rows) and polynomial, trigonometrical and exponential questions (the columns). My Yr13 students (single and further maths) really enjoyed recapping their knowledge with this task!

Answers included. As PDF version.

Methods for Integration

Info sheet on identifying aspects to look for when deciding which method for integration, followed by six (mostly exam) questions to practise each method. Includes answers. As pdf here.

Which Method to Integrate?

Flowchart for helping to decide when method of integration to use. Suggestions and comments welcome please!

Further Trig Graphs

Trig graphs of cot, sec and cosec. The Autograph files used are cot, sec and cosec or alt versions with corresponding graphs cot, sec and cosec.

Trig Identities for A Level

Lots of trig identities. Learn, explore, enjoy! Another version split into AQA Core 3 and AQA Core 4.

Important Trig Values

MS Word table of important trig values between 0 - 360. Learn them!

Modulus Exercise

Very short activity to get students thinking about the modulus function. They could use the MS Excel file to help them.

Autograph file: Volumes of Revolutions (setup page)

Axes etc setup & ready for doing Volumes of Revolutions. My best example and another example.

Volume of Revolution Formula

Formula for Volume of Revolution.

Simpsons Rule Notes

Formula for Volume of Revolution.

Embedded Within

A template for students to create their own chain, product, quotient questions where chain, product or quotient rule is used within the whole question also of the format, chain, product, quotient.

The Chain Rule

Nine questions of progressive difficulty for students to develop 'a rule' for differentiating y other methods than brute force expanding out.

Chain Rule Practice

Set of questions of progressive difficulty for students to familiarise themselves with the chain rule

Chain Rule, Product Rule, Quotient Rule Matchup Exercises

Three sets, each of three matchup puzzles, for pupils to practice chain rule, product rule and quotient rule.  Answers included together with a blank template for pupils to create their own puzzles.

Integration By Parts

The formula and it's derivation from the product rule.

Integration by Parts Concept Questions

A set of questions of progressive difficulty to test students conceptual understanding of integration by parts.

Functions Activity

A matchup cards activity to check & consolidate understanding of domain vs range and mapping.

Functions Notes

Notes on A level functions (Core 3).

Functions Questions

Some harder functions questions to really test students understanding and ability in sketching diagrams.

Numerical Methods

Notes on Numerical Methods.

Standard Integrals

Notes and proofs of standard integrals for AQA Core 3. Suggested use in classroom; pupils to read and understand proof of integral of 1/(a2+x2) and then construct a similar proof for integral of 1/[(a2+x2)1/2]. Pdf version.

Core 3 Revision Quiz

A lovely quiz to check pupils understanding of some key concepts from the AQA Core 3 module.

Proving Trig Identities

Prove the trigonometric identities by matching up the peices (steps) in the correct order. Supports students with this topic by providing the steps , and avoiding alebraic mistakes that confuse the key learning outcomes, whilst challenging them to understand the order and making connections between each step.

AQA Core 4

Notes of Differential Equations

Notes on process for solving first order differential equations together with example question. Pdf version. Another, harder, example here (and as pdf).

Vectors Probing Questions

A set of questions to really check understanding of several vector concepts such as magnitudes of vectors, vector equations of lines, scalar product and closest distance between a point and a line. Answers included.

Harmonic Form

The formula, or format, followed by a teaching activity and proof on the next page.

Trig Identities for A Level

Lots of trig identities. Learn, explore, enjoy! Another version split into AQA Core 3 and AQA Core 4.

Partial Fractions

The partial fractions formulae in big, to save writing it out

Binomial Expansion for C4

The formula plus 8 questions to practice. (Answers on the second page). Pdf version.

Parametric Equations

Key notes on parametric equations, as covered in AQA syllabus

Vector Notes

Notes on vectors. Three pages, all you need, one lesson. Its all here. The Autograph file 1 and Autograph files 2 that were used to make it 'dynamic'.

Vectors to Resolve Forces

Dynamic Autograph file for demonstrating how vectors can be added and how to find the magnitude of a vector.

Vector Triangles in 3D Space

Sort these triangles into scalene, isosceles and equilateral. Which are right angled too?

Vector Scalar Product Notes

Notes on Scalar Products of vectors.