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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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!

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.

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!

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.

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.

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.

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.

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.

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

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.