Powerpoint covering key points of this topic - including a Pythagoras and SOHCAHTOA recap, special angles, sine rule, cosine rule, area of a triangle, and which rule to use when. Can be used in lessons then printed out as a summary / revision aid for students at the end of the topic.

A single-page handout introducing and summarising the three numerical integration techniques required for The Level 3 BTEC in Engineering (Unit 7: Calculus). May also be useful for other courses.

A worksheet covering the subtopic on discrete probability distributions for the first year of A-level Maths. Includes a general intro, tabulating a probability distribution and other forms in which it might be defined, cumulative distribution function, expected value of a distribution. You’ll have to look elsewhere for tricky questions but this covers the need-to-knows. Answers are on page 3 but I’ve also included a set of detailed solutions.

Worksheet of questions requiring the use of algebra skills to form and solve an equation relating to the area or perimeter of, or angles in, a triangle or quadrilateral. A couple of the later questions also require use of Pythagoras’ theorem. Answers on page 2, and full worked solutions also provided.

Takes the student through the process of generating the sin, cos and tan curves from the unit circle; explains how to solve simple trig equations using the ASTC grid as a mnemonic; and also shows how to use the same grid to help remember sign changes when

A worksheet that takes the student through most of the circle theorems they will need for GCSE. Includes opposite angles in a cyclic quadrilateral; angle in a semicircle; angles in the same segment; angles at centre vs at circumference; a tangents activity; and a few practice questions. Doesn't include alternate segment theorem though, nor intersecting chords theorem (on Edexcel IGCSE 2009 spec).

A short animated PowerPoint showing the derivation of the Newton-Raphson formula and an illustrated example of its application.

A Christmas-themed problem for Year 10/11 (the last part of the extension task requires proportionality to have been covered). High-ability Y9s should also be able to have a bash at most of it.

Revision questions covering the whole of the Quadratics topic for both GCSE and A-level - a single A4 page for each. The GCSE version includes indications of the approximate grade level for each question. There’s a lot of overlap between the versions, hence only one set of solutions; these match the numbering on the GCSE version but there’s only one question on the A-level sheet that isn’t on the GCSE one, and solutions to that are included.

Animated PowerPoint taking the student through the construction of various loci: fixed distance from a point fixed distance from a line/rectangle equidistant from two points equidistant from a line … and finishing with a challenge inspired by the Diamond Heist resource that can be found at https://www.tes.com/teaching-resource/loci-diamond-heist-laser-challenge-6328947. Includes a set of printable slides at the end, so the students can construct the loci themselves. I also have a Constructions PowerPoint that you might find helpful if the students need some guidance for the bits that require them to use compasses: https://www.tes.com/teaching-resource/constructions-using-ruler-and-compasses-11521910

PowerPoint including triangle labelling conventions, SOHCAHTOA, exact trig values, bearings and angles of elevation/depression. A convenient set of key points that can be drip-fed to students as you progress through the topic, and printed (8 or 9 pages to a sheet works well) as a reference handout at end of topic.

These are the course materials from my Preparing for A-level Maths course, covering the aspects of GCSE Maths that are expected prior knowledge for the A-level course. Also useful as a resource for home learning for Higher GCSE students, especially if lack of time means that some of the top-end topics will have to be glossed over in school. Lots of practice questions are built in. There are seven PowerPoints: Fractions, surds, indices and vectors Algebra Graphs Trigonometry 5-1) Handling data 5-2) Probability 5-3) Mechanics (includes some GCSE Physics/Science as well as Maths) … and accompanying supporting materials. I’m not allowed to inlcude external links here but these PowerPoints are the basis of the Flying Start to A-level Maths course on my Mathscourses site.