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.








Quadratic Formula Synthesis
Complete the steps in the table to get from ax^{2}+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.








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!








Quadratic Discs
Six questions to find everything out about the quadratic expressions.







































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 rightangled trig, sine rule, cosine rule and sine rule for area. Answers included








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








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




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 Expansions
A progression of binomial expansions to take students from the very straightforward (x+1)^{3} to (32x)^{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





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!




































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.
















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








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








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/(a^{2}+x^{2}) and then construct a similar proof for integral of 1/[(a^{2}+x^{2})^{1/2}]. Pdf version.








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





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.
























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











