Number and Algebra
Arithmetic Sequences
1, 5, 9, 13 These are sequences where the difference from one term to the next remains constant, like the one in the title! Arithmetic sequences crop up in all sorts of places and this unit looks at understanding how to generalise, sum and solve prob…
Number and Algebra
Geometric Sequences
1, 3, 9, 27 These are sequences where you go from term to term by multiplying by a common ratio. the one in the title has a common ratio of 3 because each term is 3 times bigger than the previous one. Geometric sequences grow exponentially and should…
Exams & Assessment
Exam Advice
Small things - big difference This page is a simple list of things that you can do and prepare for relating to exam technique. Small things that can make a big difference. We should all know that there are more things to life than exams (although it …
Exams & Assessment
Sixes & sevens
This is a page with advice about what it takes to hit the top grades - 6s and 7s in the Maths Studies exams. Everyone has different starting points and different goals, but this page is specifically about the things to watch out for to help you reach…
Statistics
Cumulative Frequency & Box Plots
Looking at Spread of data This topic is all about these two related tools for helping us look at how a data set is spread out. Learn about filling in cumulative frequency tables, plotting the corresponding curves and using the curves to draw box plot…
Statistics
Correlation and Regression
Bivariate Data This topic is all about looking for relationships between variables. Does life expectancy depend on GDP? By collecting 2 variables about the things we survey we can use scattergraphs to represent the data and then look for correlation …
Statistics
The Normal Distribution
Normal? The normal distribution is a fascinating, naturally occurring phenomenon that has very relevant applications to understanding the world around us. When a data set is normally distributed it has some key properties that allow us to make predic…
Geometry and Trigonometry
Non - Right angled Trigonometry
Trigonometry for all triangles Here we take trigonometry to the next level by working with triangles that do not have a right angle. We will work on three key rules. The Sine rule, the Cosine rule and the formula for th area of a triangle. All of the…
Statistics
Chi Squared Independence tests
Looking for relationships between categorical variables The chi squared independence tests is a widely used technique for looking for a relationship between variables that are categorical. We can use a scatter graph to look for a relationship between…
Mathematical Models
Quadratic Models
Parabolas Quadratic functions are in the form ax2 + bx + c, and have fascinated mathematicians for centuries. They have some fundamental properties that will explored in this unit. Probably the best known example of quadratic models are for projectil…
Logic, sets and Probability
Symbolic Logic
Propositions, compound statements and truth values Description of the concept... Learn about it The following is a series of slides and videos that will help you understand, learn about and review this sub-topic. Keep track of your progress, look at …
Mathematical Models
Exponential Models
y = kax+c The exponential function is set apart from other families of functions because of the fundamental impact of having the variable in the exponent. It stops being a multiplier and starts being more 'powerful' (forgive the bad joke). Th…
Logic, sets and Probability
Set Theory
Sets and Venn diagrams Sets, subsets, intersections and so on. Sets are a mathematical way of classifying objects by means of clear definitions. Any given abject has a number of properties that can be sued to classify it and so objects can be in more…
Calculus
Calculus concept
Differentiating This is the first of three sections on differential calculus. This is significant branch of mathematics with lots of applications. It builds very nicely on other concepts in the course and those you are likely to have covered previous…
Logic, sets and Probability
Probability
What are the chances? This unit is all about probability - the study of chance. For many students, much of this is revision of previous expereinces with some new ideas thrown in. The unit covers the fundamental ideas, language notation, combined even…
Geometry and Trigonometry
Right angled Trigonometry
SOHCAHTOA This part of trigonometry can be seen in the recurring relationships between the sides of right angles triangles. The relationship means that we can use two bits of information about a triangle to work out a third and so on until we know ev…
Calculus
Calculus Part 2
Tangents, Normals, and the next level In this unit we look at find the equations of tangents and normals to curves, increasing and decreasing functions and the second derivative. All this builds on the fundamental notion that calculus tells uas about…
Mathematical Models
Linear Models
Straight line functions Commonly seen in the form y = f(x) = mx + c where m represents the gradient/rate of change of the function and c is the y-intercept, where x = 0. These models are a fundamental bit of algebra that come up again and again. they…
Geometry and Trigonometry
Volume and Surface Area
3D Shapes This section is all about the volume and surface area of prisms, cylinders, pyramids, cones and spheres! All of these shapes has their own unique properties and this section is about understanding and calculating the volumes and surface are…
Calculus
Calculus Part 3
Max, Min and Optimisation This is the part where we learn about how we use calculus to solve different kinds of problems. So far we have spent a lot of time learning about how claculus helps us to work out the gradient of given function for any giv…
Your Graphical Display Calculator
Casio Calculators
Know your Casio GDC The videos on this page will help you learn/revist the key calculator skills that you need to have for your exam. There are 13 videos totalling about 30 minutes of viewing time that are highly recommended. You can refer to these a…
Your Graphical Display Calculator
TI 84
Know your TI 84 GDC The videos on this page will help you learn/revist the key calculator skills that you need to have for your exam. There are 13 videos totalling about 30 minutes of viewing time that are highly recommended. You can refer to these a…
Exams & Assessment
IA & technology
Being clear and accurate This page is full of tips about how to make the best use of technology when you are doing your internal assessment. It is highly recommended that you do use technology to be both accurate and clear and tell help tell the stor…
Start here
…ive section on how to use your Your Graphical Display Calculator There is a really helpful chapter on how to consider your IA & technology A crucial section on Exam Advice With a subsection on how to get Sixes & sevens Teaching Videos These allow…
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