Differential Calculus
The concept of a limit, deriving from first principles, equations of tangents to graphs, cubic functions, optimisation and rates of change problems.
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The concept of a limit, deriving from first principles, equations of tangents to graphs, cubic functions, optimisation and rates of change problems.
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.
In depth use of the Cartesian co-ordinate system.
The use of common identities, derivation of the reduction formulae, finding general solutions of trigonometry equations and area rules.
Investigation and prove theorems of the geometry of circles. Tangents and radii of circles are also explored in the euclidean space.
Dependent and independent events. Solving probability problems using contingency tables, tree and venn diagrams.
Learners are introduced to the concept of non-real numbers, nature of roots using the discriminant.
Using simple and compound growth/decay formula to solve problems of an economic nature
Number pattern investigation with both linear and quadratic terms arising from a constant second difference between consecutive terms.
Expanding knowledge learnt in grade 10 regarding variables and functions. These include linear, quadratic, exponential, rational and trigonometric.
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