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IB Math HL Guide  First Exams 2014
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Chapter 1  Mathematics as the Science of Patterns
Sequences Series & Induction
Sequences and Series
(extra questions pdf)
Geometric Series on Exce
l
Summation Notation with Rules
(pdf)
Sigma Notation pdf
Plotting a Series on the TI84
Video on types of proof
Mathematical Induction Example
Probability and Combinatorics
Good Counting Principles Website
Binomial Theorem
Binomial Expansion Paper Questions
Chapter 2  Mathematics as a Language
Transformation of Functions
Functions
Graphing Piecewise Functions on TI84
3Chapter 3  The Long journey of Mathematics
Complex Numbers
Complex Conjugates
Polynomial Remainder Theorem
Polynomial and Rational Functions
Intersection of three planes  types (pdf)
Geogebra 3D  Planar Example above
3 Planes  types  video
Matrices and Rank Part 1
Matrices and Rank Part 2
Rational Zero Theorem and Descartes' Rule of Signs(ppt)
Chapter 4  Modeling the Real World
Limits
Derivatives
Speeding Up / Down
Motion Review  AP Calculus
Optimization
Implicit Functions
Related Rates
Related Rates Steps
Classic related rates Examples
Application of the Derivative (pdf)
Chapter 5  Aesthetics in Mathematics
Recursive Functions
Exponents and Logarithms
Derivatives of Exponential Functions
Derivatives of
Logaritmic
Functions
Angles, Arcs, and Areas
Chapter 6  Exploring Randomness
Monty Hall (Khan Explanation)
Independent vs. Dependent Events
Basic Venn Diagrams Explained
Probability and Combinatorics
Mutually Exclusive vs. Independent
Why divide by n1?
Standard Deviation Explained
Monty Hall Game (use first)
Monty Hall Problem Explained
6.6 Bayes Theorem explained
Monty on Khan Academy
Chapter 8

Ancient Mathematics and Modern Methods (Trigonometry)
Trigonometry
Chapter 9  Integration
Integration by Parts methods(pdf)
Chapter 10  Modelling Randomness
Discrete Random Variables  JBStats
Expected Values & Variance  JBStats
BellShaped Curve with scores jpg
Galton Board  Binomial Distribution
10.2
Binomial Probability Distributions  GDC Video
Normal Distribution Equation Derived
10.5 Calculating Normal Probabilities TI84
10.5
Normal Distribution Probabilities  GDC video
Discrete Probability Distributions
(pdf)
Chapter 11 
Inspiration and Formalism (Vectors)
Good Vid on all Concepts(chalk talk)
Visualizing Vectors
Vectors and Spaces
Vectors in Space (
Youtube
)
Vectors in Space*(Youtube)
Dot Product Proof
Dot Product Proof (vid)
Dot Product Proof (pdf)
Defining
the angle between vectors (proof)
Cross Product Proof (hairy)
Cross Product on TI84
Dot and Cross product Intuition
Cross Products and determinants (pdf)
Easy CrossProduct Method
Angle between a line and a plane
(Youtube)
Distance between a point and a plane
Planes in 3space  Paul's online notes
*Intersection of Three Planes Video
Intersection of three planes 
types (pdf)
Intersection of three planes  types (video)
Intersection of Three Planes  Investigation p610
Chapter 12  Multiple perspectives in mathematics
Polar paper (rad)
Polar paper (deg)
Imaginary and Complex Numbers
Powers and Roots of Complex Numbers
A few IB HL questjons
Powers of Complex Numbers
Extra Problems for Revision
IB Math Videos
(worked Problems)
OSC
Free Revision Videos
2003 Problems in all Areas
(pdf  older)
Review Videos (worked questions)
Andrew Chambers Channel
Induction
Calculus & Induction
Excel Applications
Future Value
(spreadsheet)
Future Value (vid)