Category Grade 12

  • Differential Calculus

    by Tumi
    5 Lessonsin

    The concept of a limit, deriving from first principles, equations of tangents to graphs, cubic functions, optimisation and rates of change problems.

  • Statistics

    by Tumi
    5 Lessonsin

    Represent measures of central tendency and dispersion in uni-variate numerical data. Represent skewed data in box and whisker diagrams, frequency polygons and the identification of outliers.

  • Analytical Geometry

    by Tumi
    5 Lessonsin

    In depth use of the Cartesian co-ordinate system.

  • Trigonometry

    by Tumi
    5 Lessonsin

    The use of common identities, derivation of the reduction formulae, finding general solutions of trigonometry equations and area rules.

  • Euclidean Geometry

    by Tumi
    5 Lessonsin

    Investigation and prove theorems of the geometry of circles. Tangents and radii of circles are also explored in the euclidean space.

  • Probability

    by Tumi
    4 Lessonsin

    Dependent and independent events. Solving probability problems using contingency tables, tree and venn diagrams.

  • Algebra

    by Tumi
    4 Lessonsin

    Learners are introduced to the concept of non-real numbers, nature of roots using the discriminant.

  • Finance, Growth and Decay

    by Tumi
    4 Lessonsin

    Using simple and compound growth/decay formula to solve problems of an economic nature

  • Number patterns, Sequences and Series

    by Tumi
    4 Lessonsin

    Number pattern investigation with both linear and quadratic terms arising from a constant second difference between consecutive terms.

  • Functions

    by Tumi
    5 Lessonsin

    Expanding knowledge learnt in grade 10 regarding variables and functions. These include linear, quadratic, exponential, rational and trigonometric.