A series of ten questions asking pupils to prove Trig Identities. For example Show that 3 tan⁡x cos⁡x=3 sin⁡x All included with full solutions.

These notes complement my Course Notes for this SQA course. They include more further examples, more complicated statistical tests and links to Excel for examples.

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 simple introduction with adding and subtracting money, then sharing it between people, then looking at discounts. Full solutions included.

This is a series of worksheets all about finding the area of 2D shapes (quadrilaterals and circles). - Recognising and naming 2D shapes - Knowing their properties - Knowing the formulas for their areas - Being able to calculate the areas

Practise converting words to numbers, and numbers to words. Starts easy then goes up to things like 32 809 and millions. Full solutions included.

A selection of questions (with full solutions) each asking 'how many ways' can something happen. Begins with simple problems that are small enough that they can be done without any special technique, then problems that require the 'multiplication principle' then on to permutations and combinations.

A series of extension projects about counting. Each question is a seemingly simple problem that introduces pupils to combinatorics. For example: - how many ways can you make change for a pound? - how many four digit numbers have digits that sum to 9?

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)

Each poster has a different mathematician on it, with a picture, biography, quote and puzzle. The puzzles get harder during the week.

A fun activity to practice using simple tally marks, investigate a few other systems, then make up their own. Works especially well with low-ability classes, who all like making up their own tally systems.

A thorough test of differentiation skills. Covers differentiating polynomials and trig (chain rule but no product or quotient rule), tangents and stationary points. I’ve included the original homework, a version with hints (that my class needed) and full solutions.

Is every square a rectangle? Is every rectangle a square? An investigation into the properties of the quadrilaterals, working out their properties and which ones are similar. Includes a look into Venn Diagrams and a couple of area challenges at the end. Notes and answers at the bottom of each slide.

An example of using Venn Diagrams to categorise the numbers from 1 to 20 as either even or prime. Included is Powerpoint Video explanation

A bumper set of National 5 Maths resources grouped by topic. Five sets of Questions by Topic Four sets of Revision questions by Topic Whole Course Topic by Topic More Whole Course Topic by Topic Example Questions and Answers Covers everything in National 5: Fractions, Percentages, Inequalities, Straight Line, Brackets, Rearranging equations, Simultaneous equations, Area and perimeter, Function notation, Arcs and sectors, Volume, Pythagoras, Similarity, Quadratics, Trigonometry All provided with solutions

A treasure hunt to revise Fractions, Decimals and Percentages. Print out the A4 clues and put them on the walls. Pupils can work in pairs and start anywhere. They solve any clue (e.g. 30% of 90) then find the clue with that answer on it and carry on from there. Answers provided.

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 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 / PDF giving the Indices Rules with some examples - I have printed these two-sided and laminated these for lots of pupils Also a few practice questions on Surds and Indices to diagnose what they need to practice.

An interactive activity teaching pupils a few simple memory techniques