These Smart Girl study notes include:
Algebra
Laws of Exponents and Surds
Revision of Factorization
Quadratic equations (equations with fractions, equations with substitution)
Exponential equations
Simultaneous equations
Completing the Square
The quadratic formula (including nature of roots)
Quadratic inequalities (inequalities with repeated factors, unusual inequalities, inequalities which do not factorize)
Problem solving
Number Patterns (linear, quadratic & exponential sequences)
Trigonometry & Trig graphs
Trigonometric Graphs
Trigonometric ratios
Special angles
Identities (the quotient and square identity only)
Reduction formulae
Trigonometric equations (general solutions & specific solutions)
The Sine, Cosine and Area rules (& their proofs)
Functions
Axes of symmetry, asymptotes, domain & range, turning points
Parabolas
Hyperbolas
Exponential Functions
Determining the equations of functions
Graph interpretation
Probability & Statistics
Measures of Central tendency
Five number summaries (box & whisker diagrams)
measures of dispersion
Calculation of the mean
Calculating quartiles & percentiles
Frequency polygons
Ogives
Variance & standard deviation
Identifying outliers
Venn diagrams, tree diagrams and contingency tables
Dependent and independent events
Probability in a sample space
Notation
Mutually exclusive events
The addition rule
Complimentary events
Measurement
Surface area and volume of 3D shapes (including pyramids and cones)
Euclidean & Analytical Geometry
Analytical Geometry
Euclidean Geometry (parallel lines, proving congruency, circle theorems & proofs)
Financial Mathematics
Simple growth and decay
Compound growth and decay
The effects of different compounding periods
Timelines (interest rate changes and additional withdrawals & deposits)
Nominal & effective interest rates
