IB MAA
For all IB help
For all your revision needs go to Revision Village by clicking here. The videos and resources posted on the rest of the website will also help you.
2022 Links:
Course syllabus. Click here
Weekly Planner. Click here
Term 1 daily planner. Click here
Term 2 daily planner. Click here
Term 3 daily planner. Click here
Term 4 daily planner. Click here
2021 Links:
Course guide. Please read for information on MAA
IB MAA Scheme of Work. Click here
For revision questions by topic. Click here
IB IA Guide. Click here
R-code to get you started here
Sequences and series
Sigma notation - Video tutorial
Arithmetic sequences- Video tutorial
Binomial Expansion 1 - Video tutorial Mr Wells (so covers misconceptions from class)
Binomial expansion 1 from Examsolutions videos. Video tutorial 1. Example
Binomial expansion 2 with negative or fractional indices. Video tutorial
Binomial expansion 2 - why we have a new formula and why it has limits. Video tutorial 1, video tutorial 2
Proof for SL. Video example
Proof by induction - Video, video example 2 (sum of nat. num), video ex 3 Sum of r squ
Proof by induction for divisibility - Video ex1, video ex2
Completing the square. Video tutorial, notes, practice, answers. Harder examples
The discriminant and its uses. Video 1, video 2 , video 3
Transformations of graphs. Video tutorial, notes, practice, answers
Graphs of rational functions. Watch the Khan academy series
Factor and remainder theorem. Video tutorial 1, tutorial 2
Algebraic long division. Factorising cubics. Video 1 . Video 2
Partial fractions. Video 1 ,
Functions
What is f(x) and Types of function - Collection for all functions
Inverse functions & Compound functions - Video examples (3)
Exam style questions. Here. Answers. Here
Plotting inverse functions. Video tutorial
Domain and Range. Video tutorial
Statistics
Sampling. Sampling methods tutorial
Averages. Mean, mode and median. With range and standard deviation
Closer look at standard deviation
Normal Distribution
Tutorial 1. What is ND and the basic
Tutorial 2. Video
Probability
The basics
Introduction to terminology and Venn Diagrams. Tutorials - Questions and answers
Tree diagrams Tutorial, revision notes, - Questions and answers
Conditional Probability tutorial - Questions and answers
Making it a little harder
Probability equations using venn diagrams. Tutorials (watch both) Questions Answers
Same idea but using tree diagrams. Tutorial
Calculus - Differentiation
The chain rule
These tutorials cover the basics of the chain rule but more importantly they look at other functions that are faced in differentiation. Log, trig etc, all of these will usually involve the chain rule.
Video tutorial 1 basics, Tutorial 2 Exponential functions, Tutorial 3 Log functions,
Product rule. Basics, examples with e and trig functions, Harder example with factorising answers
Quotient rule. Basics,
Finding stationary points. Video tutorial
MATHS GENIE. Collection of videos that go through most topics in differentiation and worksheets for all differentiation.
Differentiation applications
Find the gradient at a certain point
Find the tangent and the normal
Determine the nature of a stationary point
Calculus - Integration
The basics Video tutorial 1
Areas under a graph and between curves
Definite integration (similar to above)
Finding the equation of a line (finding C) Part 1
Finding the equation of a line part 2
Harder examples of trig functions (reverse chain rule )
Integrating Trig functions with powers (using double angles). Video 1 Video 2
Integration by inspection (reverse chain rule). Video 1 Video 2 using e^ Using ln x video 3 Hard example Video 4
Integration by substitution Video tutorial 1 Video tutorial 2
Trigonometry
Trigonometric Ratios For 30°, 45° And 60°, Trig Ratios For Multiples Of 30°, 45° And 60° In this tutorial I show you how you can calculate the exact values of sin, cos and tan of 30°, 45° and 60° and their multiples, without a calculator by memorising some basic triangles as seen in the video.
Exact Trigonometric values using Fingers! In this tutorial, we can find the exact values of the trigonometry of basic angles (0, 30, 45, 60 and 90 degrees) simply using fingers. Learn this in less than 10 min.
Trig graphs. Here I show you how the graphs of sin θ and cos θ can be thought of as projections of the unit circle and also how to draw the graph of tan θ. I also look at some of their properties.
The start of transformations
Trig graphs. Combining all, example 2
Amplitude, period and frequency. Tutorial 1
Trigonometry Identities
The first two trig identities. They are very important and should be learnt. Generally you are not asked to prove them but just use them. They form the basis for many more other identities. In this video I explain how they are proved though.
Trig Identities 1. Proving trig identities example 1. Example 2, Example 3
Simplifying an expression using double angle formula
Solving Trig equations
Using the quadrant method
This link takes you to a set of 7 videos using the CAST or quadrant method. Video tutorial
Solving normal equations graphically
Example 3 - example of change the range or don't
Example 4 - why I change the range
Solving quadratic trig equations
Solving equations with identities
Complex numbers
A history for those interested
Complex numbers in modulus and argument form, and argand diagrams
De Moivre's Theorem and Polar form