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.

Updated 2020 for new A-level spec. 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 in both degrees and radians using the ASTC (CAST) grid as a mnemonic; and also shows how to use the same grid to help remember sign changes when differentiating/integrating sin and cos functions. Suitable for classroom use (no IWB needed) or for uploading to a VLE for students to use independently as a support tool.

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.

Resources for the often-overlooked topic of Rates of Flow are few and far between, so I made my own. It contains two scaffolded examples and a set of practice questions, with answers provided. Also included is a copy with the scaffolding filled in and full worked solutions provided for the practice questions.