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Number and Algebra

 

  • 1.1 Number types and operations 
  • 1.2 Arithmetic sequences and series 
  • 1.3 Geometric sequences and series
  • 1.4 Financial mathematics 
  • 1.5 Exponents and logarithms
  • 1.6 Radicals and rational exponents 
  • 1.7 Functions and modelling basics 
  • 1.8 Technology use 
  • Using a GDC (graphical display calculator)

Notes and Practice Worksheets

Files coming soon.

Functions

 

  • 2.1 Concept of a function 
  • 2.2 Representation of functions
  • 2.3 Composite functions 
  • 2.4 Inverse functions  
  • 2.5 Modelling with functions 


Notes and Practice Worksheets

Files coming soon.

Geometry and Trigonometry

 

  • 3.1     Radian measure 
  • 3.2    Trigonometric ratios
  • 3.3    Trigonometric functions of any angle 
  • 3.4    Graphs of trigonometric functions 
  • 3.5    Trigonometric identities
  • 3.6    Solving trigonometric equations 
  • 3.7    The sine rule and cosine rule 
  • 3.8    3D Geometry 
  • 3.9    Vectors in two and three dimensions 
  • 3.10  Vector applications

Notes and Practice Worksheets

Files coming soon.

Statistics and Probability

 

  • 4.1 Data representation and interpretation 
  • 4.2 Probability concepts
  • 4.3 Discrete  probability distributions (PMF) 
  • 4.4 The binomial distribution
  • 4.5 Continuous probability distributions 
  • 4.6 The normal distribution 
  • 4.7 Sampling and the Central Limit Theorem (AAHL only)
  • 4.8 Hypothesis testing (AAHL only)
  • Formulating null and alternative hypotheses
  • Type I and Type II errors 
  • Using significance levels and p-values 
  • Tests for means and proportions

Lecture Notes and Worksheets

Files coming soon.

Calculus

 

  • 5.1 Concept of a limit 
  • 5.2 Differentiation 
  • 5.3 Applications of differentiation
  • 5.4 Implicit differentiation and related rates (AIHL only) 
  • 5.5 Integration 
  • 5.6 Applications of integration 
  • 5.7 Differential equations and modelling (AIHL only)
    • Using differential equations to model real-world situations!

Notes and Practice Worksheets

Files coming soon.

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