Everyone knows the quadratic formula, but what happens when pupils ask about a formula for solving cubics? A formula does exist, but it's a bit more complicated. It's given here, as a simple formula and also explained with an example.

A Power Point presentation investigating the not-so-obvious question of where the centre of a triangle is. Useful to revise and motivate some of the line work in e.g. Higher Maths Starts with the centre of other shapes (e.g. circle - easy) before introducing the main candidates for the centre of a triangle. These are where the medians, perpendicular bisectors, and altitudes meet. But there are also many other centres. And what about quadrilaterals, or 3D shapes?

A series of questions to demonstrate similarity between similar rectangles and triangles, including more complicated diagrams with multiple triangles Solutions included at the bottom of each slide, and extra practice questions at the end. Edit: added some 3D examples Edit: added summary sheet

A fast paced relay testing understanding of ratio in unusual and interesting situations. Print out multiple copies of the questions (ideally laminated) and get each pair of pupils started on a copy of Question One. Once they bring you the right answer to that, given them Question Two and so on. All answers should be fully simplified.

A problem solving scenario to combine skills, useful for revision and group work. The skills tested here are: • Parabolas (completing square, turning points, sketching, factorising) • Rounding to significant figures • Bearings • Area of sector and arc length • Area of triangle, sine rule, cosine rule • SOH CAH TOA • Pythagoras • Vectors • Lines • Percentages Pupils will also need good communication skills and teamwork (if working in groups). Provided with teacher notes and full worked solutions.

Two sets of questions and solutions on - units of measurement - area of rectangles and triangles - perimeter of rectangles - simple compound shapes Edit: added page of challenge questions

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.

This is a series of PowerPoints and questions introducing and testing knowledge of Distance, Speed and Time. Starting with simple Time questions, pupils will learn how to recognise different types of DST question, and how to solve them. - Some introductory questions that check pupils can convert between 12hr and 24hr time, and convert between hours and minutes - Checking pupils can recognise whether they are being asked a Distance, Speed or Time question. - Estimating speeds of different forms of transport - A class project for each group to work out the time it takes to get somewhere, by different forms of transport - A couple of PowerPoints on timetables DST Starters - Some standard test-level DST questions - A spreadsheet and graph of the distance from school and time it takes to get there from one example class.

Practice ratio questions on simplifying ratios dividing a sum ratio problems Extension problems included too, and answers. 2021 - added a ratio homework with answers

A series of worksheets covering all aspect of rounding. - money, rounding to the nearest pound/kilogram/penny - rounding to the nearest 10,100,1000 - using rounding to approximate answers - using rounding to approximate on more difficult problems Full solutions provided to worksheets.

These are the course notes I have been using for the last few years to teach Advanced Higher Statistics. I wrote them myself, based on the SQA course description, and have included lots of examples. Included in this bundle AH Statistics Course Notes AH Statistics Formulas to Memorise (A list of all the important facts that need to be remembered for Advanced Higher Statistics, that are not in the formula sheet) AH Statistics 150 Quick Questions (A set of short questions covering all aspects of the Advanced Higher Statistics Course) AH Statistics 14 Tests (A revision resource giving a summary of the 14 hypothesis tests in the course:) AH Statistics Course Summary (Short questions on each aspect of the course and links to the place in the SQA Course Specification) All included with full solutions. If you spot any mistakes please let me know. Last update: March 2023

An introduction to Game Theory that I gave to a class of smart 16 year olds. Introduces the idea of a game, and gives some examples of simple two player games and up to zero sum games. Some fun examples of games you can play in class!

A problem solving scenario to combine skills, useful for revision and group work. The skills tested here are: • Working with surds • Finding the area of a sector • Finding the length of an arc • The distance between points in 2D space (Pythagoras) • Dealing with scale factors • Meaning of parallel and perpendicular Pupils will also need good communication skills and teamwork (if working in groups). Provided with teacher notes and full worked solutions.

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

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

A fun lesson that introduces Graph Theory through the example of Facebook. The Powerpoint introduces it and then the worksheet lets them practice. Key terms learned are: edges, vertices, degree, connected.

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

How much does a squirrel weigh? Use the scales to find out! This is a nice way to introduce algebra equations. Each seesaw is perfectly in balance, which leads to a simple equation to find the weight of an animal. This is very intuitive and pupils will have no trouble 'seeing' the first few, then will need to start using algebra to solve the harder ones. Answers provided.

A fun activity to be done alone or in pairs. The first puzzle is easier (no subtracting negatives) and the second one includes subtracting negatives. Based on original from eam_larkin.

A Powerpoint introducing negative numbers, then some practice with temperatures.