Grade 11

Mathematics

0/14 Topics completed

Numbers

01Exponents & surdsRational exponents, simplifying surds, and solving exponential equations.

Algebra

02Quadratic equations & nature of rootsFactorise, complete the square, quadratic formula, and Δ = b² − 4ac.
12Quadratic inequalitiesSketch the parabola, mark critical values, and read the interval where the graph is above or below the x-axis.

Functions

03Parabola, hyperbola & exponentialSketch and interpret y = a(x+p)² + q, y = a/(x+p) + q and y = abˣ + q, including intercepts and axes of symmetry.
13Exponential functions & equationsy = abˣ + q. Same bases to solve exponential equations. Horizontal asymptote y = q.

Trigonometry

Geometry

05Circle geometryTheorems: angle at centre, angle in a semicircle, cyclic quad, tan-chord, and equal chords.

Analytical geometry

06Inclination & circlesAngle of inclination tan θ = m, and equation of a circle (x−a)² + (y−b)² = r².

Finance

07Nominal vs effective interestConvert between i_nom and i_eff, and decay (depreciation) of assets.

Probability

08Dependent events & VennAddition rule, independent vs dependent, tree diagrams, and P(A and B) = P(A)×P(B|A).

Patterns

09Quadratic number patternsFirst and second differences. Tₙ = an² + bn + c with 2a = second difference.

Statistics

10Variance, ogives & five-number summaryσ² = Σ(x − x̄)² / n, quartiles from ogives, box-and-whisker, and outliers.

Euclidean geometry

14Proportion & midpoint theoremA line through the midpoint of one side, parallel to another, bisects the third side. Similar triangles share equal angles.