IBDP Maths: Analysis & Approaches

Functions

Functions - The Basics

In this page, we will look at the different types of relations including functions. The first step to gaining a good understanding of functions is to think about inputs and outputs. Once that is clear, you should be able to deal with domain...

Algebra

Indices and Logarithms

Logarithms are useful for solving problems involving indices (or exponents). In fact, logarithms are just indices in disguise! The definition of a logarithm helps you to see its equivalence with indices

Examination Questions

Geometry and Trigonometry Examination Questions SL

On this page you can find examination questions from the topic of geometry and trigonometry

Examination Questions

Geometry and Trigonometry Examination Questions HL

On this page you can find examination questions from the topic of geometry and trigonometry

Geometry & Trigonometry

3-Dimensional Solids

In this page, we will look at finding the volume and surface area of three-dimensional solids. The formulae for these solids can all be found in the formula booklet. You just need to know where to find them, as some are in the prior learning...

Geometry & Trigonometry

Sine and Cosine Rule

In this page, we will look at the Sine Rule, the Cosine Rule and the formula for the Area of a Triangle. The formula for these three are fairly straight forward to use, but don't take this topic too lightly, sometimes the exam questions can be quite challe

Calculus

Graphs and Derivatives

On the following page, we will look at graphs and derivatives. We will get some practice in sketching gradient functions and we will carefully consider stationary points (maximum, minimum and points of inflexion) as well as non-stationary points of inflexi

Stats & Probability

Normal Distribution

The normal distribution is an extremely useful statistical distribution. Data for heights and weights of adults and objects produced by machines, for example, tend to follow the normal (bell-shaped) distribution. More importantly, if we take large enough s

Calculus

Differential Equations - Separable Variables

If you want to describe the world around you, be it the forces acting on a body, the growth of a virus or the temperature of the coffee in your cup, you will be dealing with differential equations. On this page we will look at the simplest type: differenti

Examination Questions

Functions Examination Questions HL

On this page you can find examination questions from the topic of functions

Examination Questions

Functions Examination Questions SL

On this page you can find examination questions from the topic of functions

The Exploration Free

The Mathematics Exploration is an extended piece of work that you are required to complete during the course. The Exploration provides you with the opportunity to engage in an independent investigation and explore a mathematical topic of your...

Calculus

Maclaurin Series

A Maclaurin series is a power series that enables us to find a polynomial that approximates a function that cannot be written algebraically. It is what calculators and computers use to work with transcendental functions like sinx. On this page,...

The Exploration

Exploration Ideas Free

Being able to explore some mathematics of your own choice and take ownership of your learning should be an exciting opportunity. However, students often find that choosing a topic for their exploration rather overwhelming. The aim of this page...

The Exploration

Exploration Examples Free

It is a good idea to familiarise yourself with as many 'good' past explorations as possible. This will allow you to gauge what makes a good internal assessment piece in mathematics, see the stucture and also might act as a stimulus and give...

The Exploration

Exploration Overview Free

This page is designed to give you an overview of the process for the internal assessment for mathematics, the mathematical exploration, as it is called. This page should be your starting place to understand what it is, what it is worth to you...

Examination Questions

Calculus Examination Questions SL

On this page you can find examination questions from the topic of calculus

Calculus

Optimisation

Optimisation questions involve finding the best solution to a problem. Usually, that is the maximum or minimum value of a function. Questions on this topic require you to take information from a practical problem and write this as a function, then using di

Geometry & Trigonometry

Double Angle Formulae SL

In this page, we will will learn about the Double Angle Formulae used in Trigonometry. It is actually quite rare that exam questions are solely about these identities, but it is essential that you can use and manipulate them confidently because...

Geometry & Trigonometry

Double Angle Formulae HL

In this page, we will will learn about the Double Angle Formulae used in Trigonometry. It is actually quite rare that exam questions are solely about these identities, but it is essential that you can use and manipulate them confidently because...