A one page sheet with eight common shapes on. Pupils should cut these out and physically fold them, to see which ones have lines of symmetry. I came up with this in response to pupils who consistently thought that a parallelogram had two lines of symmetry, and a non-square rectangle had four lines of symmetry.

A series of statistics questions that cover everything that might be needed for an Advanced Higher Geography project. Largely overlaps with Advanced Higher Statistics. Topics included are: Descriptive statistics (mean, median, mode, range, interquartile range, standard deviation, standard error, coefficient of variation) Inferential statistics (chi-squared) Linear regression Nearest Neighbour analysis Full solutions at the end.

A worksheet with explanations then questions on radians. Includes converting to and from degrees.

A simple powerpoint with a shop where items cost different amounts. You then ask the pupils how much change they get from a pound. Easily adaptable to add your own items (or change the existing prices) or extend by asking about buying multiple items, starting with £5 etc. Aimed at CfE Level 1 Mathematics

A series of examples and full solutions on the following topics - Volume of a Prism (cuboids, cylinders and triangular prisms) - Surface Area of a Prism (cuboids, cylinders and other prisms)

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

A worksheet with four pre-printed distance-time graphs for pupils to interpret. Their answers should be sentences such as "go at 4 metres per second for 3 seconds, then pause for 2 seconds, then ..."

A series of four worksheets to progressively introduce pupils to the idea of adding and subtracting fractions by matching the denominators. Rather than just presenting it to them as a rule, they work through simple examples to gain an understanding of what is happening. I wrote this out of frustration with a poor class who simply didn't seem to understand how fractions worked, and although they could memorise a method, would then misapply it (for example, trying to add three fractions with them was a disaster, until they actually understood what they were doing)

A series of pictures of the same school (Mearns Castle in Scotland) taken from further and further away. For each picture pupils have to work out which is the correct scale.

A collection of typical Proof By Inductions, around 100 in total. Very useful as a teacher if you are looking for examples to use. Includes all the main categories plus a few unusual ones. They are grouped by category: Divisibility, Greater Than, Summation, Recurrence Relationships, Matrices, Calculus, Fibonacci, Miscellaneous, Geometry, Important Theorems, Extensions and Paradoxes Includes sources for even more example proofs.

Nine provocative questions to get pupils thinking about infinity. Each one has footnotes on the Powerpoint to guide towards the answer. What are Zeno’s paradoxes? Is 0.9999999999999999999… the same as 1? What is the smallest decimal number more than 3? What is infinity plus one? What is Hilbert’s Hotel? If something is true for the first million numbers, is it true for all the numbers? What is 1 – 1 + 1 – 1 + 1 – 1 … equal to? Are some infinities bigger than others? Are there more: numbers, fractions, or decimals?

A series of examples and questions on the following topics: Express a change in value as Percentage Calculate Compound Interest Reverse Percentage Change Appreciation/Depreciation by a Percentage Provided with solutions

A powerpoint-activity to learn and revise about vectors. There's been a robbery! Can you help Inspector Vector solve the crime by collecting clues? This is a fun activity for groups that includes: - adding and subtracting 2D and 3D vectors - finding the magnitude of 2D and 3D vectors - adding and subtracting vectors like a and b - some practice with surds for magnitude of vectors - visualizing vectors in 3D - using some logic to solve the crime Solutions to each clue included in the Power Point notes. Takes a very good class about 1 hour 30 minutes.

A game to revise simple integration. Each catchphrase picture is hidden behind nine expressions. Randomly select a pupil, and if they can integrate their chosen expression they get 10 seconds to guess at the picture hidden below.

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

A great way to introduce formulas, with a fun activity to estimate how fast your reaction time is. The Power Point introduces the idea of reaction time then shows pupils a simple experiment they can do, which leads to a formula for converting centimetres on a ruler to reaction time in seconds.

A short guide for how to create a Google Survey, which I have been using for pupils to fill in their exam feedback.

A series of five activities to help you learn how to use Excel, with an emphasis on mathematical formulae. The skills learned are: - using formulas (like mean, maximum etc.) - plotting graphs - colour coding cells

A series of four worksheets about domain, range and composite functions. There is many lessons work here with lots of practice. The four parts are: - Domain and Range - Composite Functions - Further Functions (combining domain, range, composite) - Extension (proofs about linear functions) All provided with full solutions

A series of four worksheets to give some background algebra, do plenty of examples finding a limit, then for advanced pupils go on to find a general formula for a linear sequence. If you follow this through you will be able to instantly work out the value of the 50th term of u_n+1 = 0.4 u_n +3 (for example). The four worksheets are: - Indices (practice on this) - Algebra (rearranging formula) - Sequences (standard questions on finding limits, and graphing the results) - Investigation (putting it all together to get a general formula) All provided with full solutions.