IBDP Maths: Analysis & Approaches

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

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...

Geometry & Trigonometry

Compound Angle Formulae

In this page, we will will learn about the Compound Angle Formulae used in Trigonometry. These are really important because they open up so many other formulae in trigonometry. In particular, we can derive the double angle formula. There are...

Calculus

Definite Integration

Integration is sometimes called antidifferentiation, as it is the opposite process of differentiation. When we find an indefinite integral we find a function with an abritrary constant, C. When we find a definite integral, we find a numerical value.

Functions

Quadratics

On this page we will look at quadratic expressions and how the different factorised forms link to the shape of the graph. We will also get an understanding about how the discriminant affects not only the number of roots of a quadratic equation, but also ho

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...

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 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 of a mathematical topic of...

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 guage what makes a good internal assessment piece in mathematics, see the stucture and also might act as a stimulus and give...

Calculus

Standard Integrals HL

In this page, we will look at some of the standard integration techniques that you need to know about involving xn , sinx , cosx , \(\frac{1}{x}\) , ex and the composite of these with the linear function ax + b. You will have to learn some...

Examination Questions

Calculus Examination Questions HL

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

Calculus

Standard Integrals SL

In this page, we will look at some of the standard integration techniques that you need to know about involving xn , sinx , cosx , \(\frac{1}{x}\) , ex and the composite of these with the linear function ax + b. You will have to learn some...

Stats & Probability

Discrete Random Variables

On this page we will explore the concept of discrete random variables and their probability distributions. We will look at how we can display probability distributions in tables or as functions. The questions are not so complicated (it is just a way of for

Calculus

Differential Equations - Homogeneous

When a first order differential equation is not separable, nor linear (integrating factor), it may still be possible to solve it analytically using a substitution. This will work when the equation is homogeneous. A homogenous differential equation...

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

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...

Examination Questions

Calculus Examination Questions SL

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

Algebra

Geometric Sequences

These are sequence where you go from term to term by multiplying by a common ratio. The sequence in the image 1, 2 , 4 , 8 has a common ration of 2 since we multiply the previous term by 2. There are formula in the booklet to help you with this topic, but