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.
Course guide. Please read for information on MAA
IB MAA Scheme of Work. Click here
For revision questions by topic. Click 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
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.
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
Kinematics using differentiation
Practical uses of differentiation example 1 example 2
Limits
Introduction to limits. Video 1
Limits with infinity Video
Limits from graphs with continuous functions
Limits from graphs with holes in or non continuous functions. Video. Examples
Differentiability video examples
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
When to use what rule examples
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
When to use what rule examples
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
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
Tutorial 3. https://www.loom.com/share/dc65ca43c3234e81bc4581f23236a978
Complex numbers
A history for those interested
Complex numbers in modulus and argument form, and argand diagrams
De Moivre's Theorem and Polar form