Mathematics

121 Lessons

Functions and graphs 31 Lessons- Reflecting and stretching hyperbolas
- Sketching quadratic functions (2)
- Sketching exponentials
- Reflecting and stretching exponentials
- Shifting parabolas in both standard form and turning-point form
- Sketching parabolic functions
- Features of exponential functions
- Features of sine functions
- Features of quadratic functions
- Finding the equation of a sine function
- Sketching stretched and reflected cos functions
- Shifting hyperbolas
- Reflecting and stretching parabolas in standard form and turning point form
- Sketching shifted sine functions
- Sketching stretched and reflected sine functions
- Sketching hyperbolic functions
- Sketching shifted cos functions
- Sketching quadratic functions (1)
- Features of cos functions (domain, period, range, increasing/decreasing)
- Shifting exponentials
- Finding the equation of exponentials
- Sketching exponential functions
- Finding the equation of a cos function
- Features of tan functions (domain, period, range, increasing/decreasing)
- Finding the equation of a parabola
- Sketching shifted tan functions
- Sketching hyperbolas
- Finding the equation of a tan function
- Sketching stretched and reflected tan functions
- Finding the equation of a hyperbola
- Features of hyperbolic functions

Number, patterns, sequences and series 5 LessonsFinance, growth and decay 3 LessonsAlgebra 24 Lessons- Solving equations by using the quadratic formula
- Solving equations by using substitution
- Exponential models
- Finding a quadratic equation from the roots
- Simplifying surds
- The nature of roots
- Solving simultaneous equations
- Solving simultaneous equations via substitution
- Solving quadratic equations that involve surds
- Solving quadratic equations with fractions
- Finding the minimum and maximum values of quadratic polynomials
- Rationalising denominators
- Solving quadratic equations by factorisation
- An introduction to solving equations with the quadratic formula
- Long division of algebraic fractions
- Adding and subtracting algebraic fractions
- Solving quadratic equations by completing the square
- Working with the laws of exponents
- Simplification of algebraic fractions
- Inequalities
- Simplifying algebraic fractions with exponents
- Quadratic inequalities
- Completing the square
- Introduction to the laws of exponents

Differential calculus 1 LessonProbability 6 LessonsEuclidean geometry 9 Lessons- Circle geometry - Angles in the same segment
- Circle geometry - Line from centre perpendicular to chord
- Circle geometry - Cyclic quadrilaterals and tangents
- Circle geometry - Cyclic quadrilaterals (2)
- Circle geometry - Angle at centre equals twice the angle at circumference
- Circle geometry - Tangent-chord theorem
- Circle geometry - Tangents from same point
- Circle geometry - Proving that a line is a tangent
- Circle geometry - Cyclic quadrilaterals (1)

Measurement 6 LessonsAnalytical geometry 8 LessonsTrigonometry 16 Lessons- Proving trig identities
- Proving trig identities and solving trig equations
- Using reduction formulae (1)
- Solving trig equations using co-functions
- Solving quadratic trig equations
- Solving trig equations using general solutions
- The sine area rule
- The Law of Sines
- The Law of Cosines
- Solving basic trig equations
- Special angles
- Using reduction formulae (2)
- Reduction formulae
- Trig definitions
- Co-functions
- Solving trig equations with more than one ratio

Statistics 11 Lessons- Measures of central tendency for grouped data
- Measures of dispersion with ungrouped data
- Calculating and interpreting variance and standard deviation
- Outliers
- Statistics - The ogive and box plot
- Statistics - Measures of Spread
- Histograms and frequency polygons
- Measures of dispersion with grouped data
- Symmetric and skewed data
- Statistics - Measures of Location
- Measures of central tendency for ungrouped data

Mock Exam 1 Lesson