Main PowerPoint covers all aspects of ratio and proportion for GCSE (but not direct and inverse proportion): relationship between fractions and ratios dividing an amount in a ratio - inc finding the total amount and solving problems from the difference between two shares simplifying ratios by converting units expressing as 1:n working with map scales proportion and recipes best buys expressing a ratio in algebraic form latest version includes a few harder questions involving fractions of fractions, combining pairs of ratios, and change of ratio, with worked examples for each. Includes handout versions of main question pages (i.e. black & white with no answers included) at end of presentation. Also a second PowerPoint with starter/homework questions, most pages including answers (but again with handout versions at the end). Updated April 2020 with a correction and a few minor changes.

A PowerPoint covering probability up to Higher GCSE level. Assumes that the basics have already been covered, but includes: - Venn diagrams and set notation - addition law - two-way tables - frequency trees and probability trees (both with and without replacement) - conditional probability using Venn diagrams and two-way tables - multiplication law for both independent and non-independent events. I’ve also included one Venn diagram problem (with solution) that involves solving a quadratic. There are a few signposts to exercises in the Elmwood “Higher GCSE Maths 4-9” text book but these are easily removed if not applicable to you. The latter section of the presentation consists of handout/worksheet versions of some of the slides. Update Jan 2018: small correction to set notation slide.

Animated PowerPoint demonstrating how to use ruler and compasses to construct: a 60-degree angle an equilateral triangle a triangle with sides of specified lengths a perpendicular bisector an angle bisector a rhombus the perpendicular from a point to a line the perpendicular at a given point on a line. Aimed at GCSE students. I also now have a similar resource on working with loci, which can be found at https://www.tes.com/teaching-resource/working-with-loci-12221878.

This PowerPoint uses a golf club manufacturing analogy to introduce the idea of restricting the range of the nested function so that the “outer” function can use all of its outputs. Also covers range of composite functions. Also included is a worksheet with a more basic exercise on composite functions followed by a few practice questions on domain and range of composite functions. Written for A-level Maths. Requires prior knowledge of composite functions, domain and range.

Latest version (19/10/18) covers both Foundation and Higher Tiers. For each tier there’s a PowerPoint, a set of practice questions and a PDF of model answers to these. In this latest version I’ve tweaked the Higher worksheet so the question order is a better match to the PowerPoint, and have also added a sheet of consolidation and extension questions for the stronger students (answers included on sheet). Both PowerPoints include a recap of y = mx + c and introduce ax + by = c; plotting a graph; sketching a graph; formula for gradient; finding the equation of a line from its graph; mid-point of a line segment; and parallel lines. The Foundation one takes things a little slower, while the Higher one also includes distance between two points; use of y - y1 = m(x - x1) for the equation of a line given gradient & 1 point / given 2 points; perpendicular lines; perpendicular bisector; intersection of two lines (with a brief mention of inequalities); and tangent to a circle. 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.

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.

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).

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.

Treasure hunt revision activities inspired by a similar Core 4 one that I downloaded some years ago from a TES contributor... but this one has the twist of two possible answers to choose from for each question, which prevents the students from getting the last two or three by process of elimination instead of actually working them out. Because they just put the appropriate letters in the boxes, it also makes it really easy to check answers. It does have to be explained quite carefully though! Will typically take a team of 2-3 students about 45-60 minutes to complete, though some manage it in 20-25. Tell each team to start at a different question as this will reduce bottlenecks and copying! Written for the AQA spec but should be fine to use for Edexcel or other boards for summer revision, once both C1 and C2 modules have been covered.

Assorted percentages questions including reverse compound percentages, for the new (9-1) GCSE spec. Answers included - though be warned that these have not been fully checked. In Word format so easy to edit. Also an end-of-topic homework sheet with a mixture of percentage questions, including percentage profit/loss as well as compound & reverse percentages.

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.

Written for English GCSE but apparently applicable to the US curriculum too! Updated and improved version (including enlargement with a negative scale factor, invariant points and an accompanying worksheet) can be found at https://www.tes.com/teaching-resource/gcse-maths-transformations-powerpoint-lesson-6157812. If link doesn't work, search for "GCSE Maths: Transformations Powerpoint Lesson".

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