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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