This is an investigation into the different uses of stones and pounds (UK), pounds (USA) and kilograms (Europe) for weighing people. By the end pupils should be able to convert between the units effectively. Skills used: - Mental arithmetic - Converting between units - Rounding (the conversion numbers are approximate only) Full solutions provided on the Power Points. Now includes some extra revision, (to be used a month after initial lessons) and a picture of 'The Kilogram' (housed in a secret bunker somewhere near Paris).

A worksheet of practice questions on everything to do with Higher Functions. domain and range max value of a function inverse functions tangent to a function showing a function is always positive sketch of a function differentiating a function quadratic inequalities

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.

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

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)

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 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.

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.

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 comprehensive set of 15 questions (with a,b,c) testing the following skills converting between improper fractions and mixed numbers converting between fractions, decimals and percentages adding, subtracting, multiplying and dividing fractions finding percentages applying percentage increase and decrease Solutions at the end.

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 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.

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

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.