These are extensive notes that I have made to teach this SQA Course. Includes many example questions and follow ups on Excel. I’ve also included here a course outline, essential exam skills and a practice exam with solutions. *Updated 2020 to have Course Notes for pupils (with spaces for answers) and Course Notes for teachers (answers filled in) *Updated 2022 with corrections

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 set of five challenging questions testing the link between length, area, and volume scale factor. Full solutions provided. These questions were created by my pupils, so have a relatively real life context!

Tips, questions, and solutions covering the following topics: Sequences, Lines, Circles, Vectors, Logs, Polynomials and Functions. Edit: Added 2023 exam tips

An Excel simulator does twenty samples each flipping a fair coin one hundred times. Each sample generates a confidence interval for the mean number of heads. On average, 19 out of the 20 confidence intervals will include the true mean of 50 heads, This simulation can be run many times (by pressing F9) and each time a new graph visually updates, showing how confidence intervals work. The number of flips and the probabilities can all be changed too.

A collection of misleading graphs, for pupils to recognise the flaws with. These are all taken from real life publications.

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 worksheet of simple maths problems aimed at 11+ year olds, which mostly involve fractions plus a bit of angles

Practice in forming and solving simultaneous equations. We often talk about equations being 'in balance' and 'doing the same to both sides'. This worksheet makes that visual idea very obvious to pupils as they are presented with a series of balanced seesaws with animals on them. Each pair of seesaws leads to a pair of simultaneous equations, which can then be solved in the usual way, to find the weight of each animal. Provided with solutions.

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 rare chance to see the first ever use of an equals sign "for what could be more equal than two parallel lines" and therefore the first ever equation. Pupils can read the Olde English, translate it into modern equations, then solve them. The first two are linear, the remaining four quadratic. Provided with full solutions.

A fun activity to practice learning about the straight line. Includes - drawing graph from data points - working out the gradient - working out the y-intercept - working out the equation of a line from the graph - using the equation to interpolate missing points Solutions included

This resource is designed to give pupils much-needed practice on where points move after a transformation, for example: Where does the point (2,4) on the graph f(x) appear on the graph 3f(x)+1? The first questions are basic practice then pupils look at progressively more complicated graphs, including some practice finding the turning points and range and domain. Provided with 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.

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 set of worksheets building up to an investigation about the time it takes for an object to drop that can be done in the classroom to practice the skills learned. The sections are: - Basic Skills (factorising, simplifying fractions, solving equations) - Questions (rearranging linear formulas, quadratic formulas, and more difficult formulas too) - Investigation (how long it takes a ball to drop, using a formula and testing it) All provided with full solutions

This will introduce the topics of 3D volume and surface area, and also provide some challenging extension questions. A set of four worksheets on - Basic Skills (rounding, 2D perimeter and area, 3D volume and surface area) - Problems (real life problems involving volume and surface area of cuboids, cylinders, cones and spheres) - Units (converting between e.g. square metres and square centimetres) - Extensions to the Problems (revisiting the problems with converting units and more in-depth calculations) All provided with solutions.

Four sets of practice questions. Includes: - determining if numbers are prime (and odd or square numbers) - multiples and least common multiples - factors and highest common factor Solutions included

Includes - converting between fractions, decimals, and percentages - ordering a mixed list of all three - equivalent fractions - adding fractions - mixed numbers and improper fractions Solutions included.

This is to introduce pupils to decimals, using a context they are probably already familiar with (the time to run the 100 metres). Pupils work in pairs to complete some exercises looking up times, then get familiar with a stopwatch, then compare some decimal times.