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© 2018 - 2019 by Smart Girl.

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

Grade 11 Math

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