












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.




Intersection Of Three Planes
Summary notes on intersection of three planes; all parallel, two parallel, triprism, sheaf and single point. Includes summary table plus extra notes and links to a couple of good youtube videos. Pdf here.




3D Planes
Questions to get you thinking about the crtieria for planes to intersect, be parallel etc. A few great tasks here with answers included. Works great together with dynamic graphing software such as Autograph, Geogebra etc. Pdf here.




Useful Vector Formulae
Lots of useful formulae to do with vectors including dot and cross products, volume of parallelopiped, vector equations of lines and planes. Pdf here.








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. PDF here.








Improper Integrals Examples
An example each of undefined at one of the limits, undefined between the limits and infinity at one of the limits.




























Complex Number Intro Exercises
Powerpoint, with answers as you go, of questions to ease students into working with complex numbers. Covers adding, multiplying, dividing, Argand diagram, argumentmodulus form, solving complex quadratics and complex equations. PDF here.












Conics Autographs
Some premade Autograph files for teaching conics. Use the constant controller to change the constants and vary the functions.








Matrix Transformations
List of standard matrix transformations; enlargement, rotation, reflection and shear. (Translations omitted as these are created by matrix addition rather than matrix multiplication). PDF here.




Notes on Matrices
Matrix multiplication, finding the determinant and inverse matrices.








Matrix Transformations Matchup Activity
Students matchup the images, words and matrices. Deep questions could include "Why did you match up that matrix with that transformation?" or "How do you know which matrices represent rotations and which represent reflections?"
















Rational Functions Matchup
Designed to highlight finding orientation of rational graphs and necessityfor checking either side of the asymptotes. Six graphs and eight equations, all with linear numerator and linear denominator. Match them, and draw the remaining two graphs that are given. Starter questions. Use this Autograph file.




Rational Functions Notes
Notes on how to draw graphs of rational functions, particularly for combinations of linear/quadratic numerator and denominators.




Rational Function Autographs
Some premade Autograph files for teaching rational functions. Use the constant controller to change the constants and vary the functions.


