eBook
HL 4.1 - Exponential functions
SL 2.9: Exponential functions and their graphs: f(x)=a^x, a>0; f(x)=\textrm{e}^x Exponential functions describe many real-life processes: bacteria growth, compound interest in a bank account, and car...
eBook
HL 3.1 - Sequences & series introduction
SL 1.2: Arithmetic sequences & series; use of sigma notation for sums of arithmetic sequences SL 1.3: Geometric sequences & series Sequences and series are essentially lists of numbers where the numbers...
eBook
HL 2.2 – Rational functions
SL 2.8: Rational functions of the form f(x)=\dfrac{ax+b}{cx+d} and their vertical and horizontal asymptotes. HL 2.13: Rational functions of the form f(x)=\dfrac{ax^2+bx+c}{dx+e} and f(x)=\dfrac{ax+b}{cx^2+dx+e};...
eBook
HL 1.4 - Transformations of graphs
SL 2.11: Transformations of graphs; translations, reflections (in both axes), vertical stretches, horizontal stretches, composite transformations HL 2.16: Graphs of the functions y = \left| {f\left( x...
Internal assessment
Preparing students for the IA
The Internal Assessment (IA), or Exploration, gives you the opportunity to investigate a mathematical topic in depth and communicate your thinking in a clear, personal and mathematically rigorous way....
eBook
HL 3.7 - Binomial theorem
SL 1.9: The binomial theorem; binomial expansions {\left( {a + b} \right)^n},\;n \in \mathbb{N}; use of Pascal’s triangle and {}^n{{\textrm{C}}_r} (also written as {}_n{{\textrm{C}}_r}). Compute {}_n{{\textrm{C}}_r} using...
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eBook
HL 3.6 - Counting principles
HL 1.10: Counting principles, including permutations and combinations This section will introduce you to some basic principles and methods of counting and important notation for counting methods. One...
eBook
HL 4.4 - Exponential and logarithmic equations
SL 1.7: Solving exponential equations, including using logarithms. SL 2.10: Applications of graphing skills and solving equations that relate to real-life situations. Exponential and logarithmic equations...
eBook
HL 4.3 - Logarithmic functions
SL 2.9: Logarithmic functions and their graphs: f(x)=\log_a x,\;x>0, f(x)=\ln x,\;x>0 In the previous section you studied the basics of logarithms - how they are defined and how they operate. Now we will...
eBook
HL 4.2 - Definition and properties of logarithms
SL 2.9: Logarithmic functions and their graphs: f(x)=\log_a x,\;x>0, f(x)=\ln x,\;x>0 In the previous section you studied exponential functions. In the same way that exponential functions describe many...