A series of two part problems in the style of exam questions. Part (a) of each question is a proof using the trig identities. Part (b) then uses that proof to either solve a trig equation, find an integral, or differentiate to find the equation of a tangent. Answers given at the end.

A series of increasingly difficult problems involving solving Trig Equations, in radians. Begins with sin x = 1/2, then builds in double angle formulas and trig identities. Answers given at the end.

A simple problem about inviting six people to a party - will there always be a group that know each other, or a group that are all strangers? An introduction to the idea of edges and vertices, in the form of a fun problem.

A simple worksheet with many questions such as 'reduce £70 by 20%'

Four worksheets covering the following topics - differences between times (minutes, hours days) - hourly wages (including time and a half and double time) Used for National 4 Lifeskills Finance Module

A chance for pupils to have fun with some numeracy and make a Power Point presentation researching how they would spend £1000. Includes an example (by me) and some results from a class of 15 year olds.

A powerpoint presentation to introduce the idea of functions having 'fixed points'. For example, the fixed point of f(x) = 2x - 5 is when x = 5. Goes on to talk about 2D fixed points, before finishing with a riddle that can be solved by thinking about fixed points.

A simple world map Starter Question introducing the idea of co-ordinates with longitude and latitude.

A series of simple questions for pupils to answer on mini-whiteboards (or any other way). Topics here are combining simple terms and multiplying out brackets.

A powerpoint of short mixed revision questions. On the topics of negative numbers, brackets, solving equations, expand and simplify and then mixed revision. Can be used as a starter or revision.

Everything you need to revise angles! The first Power Point covers - types of angle, angles in circle (360), angles on a straight line (180), angles in a triangle (180), corresponding and alternate angles, right angled and isosceles triangles The second Power Point covers - a big one-slide recap, a challenging question, places you might see some of the shapes involved

A simple one-page practice on finding the area of lots of circles given the diameter or radius. Later questions are just fractions of circles.

Three Power Points introducing forming and solving equations in a fun context. The first leads pupils to an equation like x + 5 The second leads pupils to an equation like 2(x+5) The third is more complicated and involves x on both sides of the equation

Three different 'think of a number' activities for pupils to work through, be amazed by, and then investigate the algebra.

Two lists of free iPad Apps to help with maths - one for pupils and one for teachers. The list for pupils groups apps by categories (e.g. graphs, fractions), the list for teachers includes administrative apps too. Compiled 2015 - let me know if you've anything new to add!

A group activity to practice using bearings. Each group designs a route (choosing how many paces and how many bearings for each leg of the journey) then swaps with another group to see if they can follow the given route. Each group will need a compass (or compass app on phone).

Two Power Point slides of lesson starters for Distance Speed Time. The first involves reading a timetable, converting the time from hours and minutes to hours, then finding a speed (and for advanced pupils thinking about why the speed is so slow). The second will take longer and involves converting m/s to km/h, then an extended question about a boat journey which involves a few calculations then drawing a distance-time graph. Solutions included on the Power Points.

Pupils add fractions by shading squares. Simple at first, but gradually they build up to understanding why for example 1/2 + 1/3 = 5/6 Good for lower ability classes who benefit from a visual representation

Some not very exciting but essential practice, with increasingly difficult questions such as - 1/4 of 24 - two thirds of 12 - increase £20 by a fifth - find two fifths of £11 - decrease £9.99 by a tenth

A fun Power Point about Rowan Hamilton's discovery of Quaternions. There are no actual formulas given here (just a hint that it's about 4D space), the point of the presentation is just that he had a brain wave while crossing a bridge and carved it into the bridge. Can be used with a junior class talking about 'inspiration' or a more senior class who know about complex numbers if you want to go into the actual equations of quaternions.