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# Mathematics

## Grade 11

Functions and graphs

- Features of cos functions (domain, period, range, increasing/decreasing)
- Features of exponential functions
- Features of hyperbolic functions
- Features of quadratic functions
- Features of sine functions
- Features of tan functions (domain, period, range, increasing/decreasing)
- Finding the equation of a cos function
- Finding the equation of a hyperbola
- Finding the equation of a parabola
- Finding the equation of a sine function
- Finding the equation of a tan function
- Finding the equation of exponentials
- Graph interpretation
- Reflecting and stretching exponentials
- Reflecting and stretching hyperbolas
- Reflecting and stretching parabolas in standard form and turning point form
- Shifting exponentials
- Shifting hyperbolas
- Shifting parabolas in both standard form and turning-point form
- Sketching exponential functions
- Sketching exponentials
- Sketching hyperbolas
- Sketching hyperbolic functions
- Sketching parabolic functions
- Sketching quadratic functions (1)
- Sketching quadratic functions (2)
- Sketching shifted cos functions
- Sketching shifted sine functions
- Sketching shifted tan functions
- Sketching stretched and reflected cos functions
- Sketching stretched and reflected sine functions
- Sketching stretched and reflected tan functions

Algebra

- Adding and subtracting algebraic fractions
- An introduction to solving equations with the quadratic formula
- Completing the square
- Exponential models
- Finding a quadratic equation from the roots
- Finding the minimum and maximum values of quadratic polynomials
- Inequalities
- Introduction to the laws of exponents
- Long division of algebraic fractions
- Quadratic inequalities
- Rationalising denominators
- Simplification of algebraic fractions
- Simplifying algebraic fractions with exponents
- Simplifying surds
- Solving equations by using substitution
- Solving equations by using the quadratic formula
- Solving equations involving exponential rules
- Solving quadratic equations
- Solving quadratic equations by factorisation
- Solving quadratic equations by completing the square
- Solving quadratic equations that involve surds
- Solving quadratic equations with fractions
- Solving simultaneous equations
- Solving simultaneous equations via substitution
- The nature of roots
- Working with the laws of exponents

Euclidean geometry

- Circle geometry - Cyclic quadrilaterals (1)
- Circle geometry - Cyclic quadrilaterals (2)
- Circle geometry - Angle at centre equals twice the angle at circumference
- Circle geometry - Line from centre perpendicular to chord
- Circle geometry - Tangents from same point
- Circle geometry - Tangent-chord theorem
- Circle geometry - Proving that a line is a tangent
- Circle geometry - Angles in the same segment
- Circle geometry - Cyclic quadrilaterals and tangents

Trigonometry

- Co-functions
- Graph interpretation (part 2)
- Proving trig identities
- Proving trig identities and solving trig equations
- Ray Diagrams
- Reduction formulae
- Solving basic trig equations
- Solving quadratic trig equations
- Solving trig equations using co-functions
- Solving trig equations using general solutions
- Solving trig equations with more than one ratio
- Special angles
- The Law of Cosines
- The Law of Sines
- The sine area rule
- Trig definitions
- Using reduction formulae (1)
- Using reduction formulae (2)

Statistics

- Calculating and interpreting variance and standard deviation
- Histograms and frequency polygons
- Measures of central tendency for grouped data
- Measures of central tendency for ungrouped data
- Measures of dispersion with grouped data
- Measures of dispersion with ungrouped data
- Outliers
- Statistics - Measures of Location
- Statistics - Measures of Spread
- Statistics - The ogive and box plot
- Symmetric and skewed data