A complete companion for Grade 9–12 Advanced Mathematics — chapters, lessons, and fully worked exercises with every step explained.
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Grade 9 — Coming Soon
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Polynomials
Adding & subtracting · multiplying · special products · distributive property · factoring quadratic trinomials & special products
Quadrilaterals
Angles of polygons · parallelograms · tests for parallelograms · rectangles · rhombi & squares · trapezoids & kites
Similarity
Dilations · similar polygons · AA similarity · SSS & SAS similarity · triangle proportionality · parts of similar triangles
Right Triangles and Trigonometry
Geometric mean · Pythagorean theorem · special right triangles · trigonometry · law of sines · law of cosines
Circles
Circumference · arcs · chords · inscribed angles · tangents · secants · equations of circles & parabolas
Probability
Sample spaces · counting · geometric probability · permutations & combinations · multiplication & addition rules · conditional probability
Linear Equations, Inequalities, and Systems
Linear equations & inequalities · absolute value · systems graphically & algebraically · linear programming · 3-variable systems
Quadratic Functions (from A2)
Graphing · solving by graphing & factoring · complex numbers · completing the square · quadratic formula · inequalities · linear-nonlinear systems
Polynomials and Polynomial Functions
Polynomial functions · analyzing graphs · operations · dividing · powers of binomials
Polynomial Equations
Solving by graphing & algebraically · proving polynomial identities · remainder & factor theorems · roots & zeros
Inverses and Radical Functions
Operations on functions · inverse relations & functions · nth roots & rational exponents · graphing radical functions · operations with radicals · solving radical equations
Grade 11 — Coming Soon
Content is being prepared. Check back soon!
Preliminaries of Calculus
Polynomials & rational functions · inverse functions · trigonometric · exponential & logarithmic · transformations
Limits and Continuity
Tangent lines · concept of limit · computation · continuity · asymptotes · formal definition · loss-of-significance
Differentiation
The derivative · power rule · product & quotient rules · chain rule · trig, exp, log · implicit · hyperbolic · MVT
Applications of Differentiation
Linear approximation · L'Hôpital's rule · max/min · monotonicity · concavity · curve sketching · optimisation · related rates
Integration
Antiderivatives · sigma notation · area · the definite integral · FTC · substitution · numerical integration · ln as integral
Applications of the Definite Integral
Area between curves · volumes (disks, washers, shells) · arc length · projectile motion · physics & engineering · probability
Integration Techniques & First-Order Differential Equations
Review · integration by parts · trig techniques · partial fractions · CAS · modelling · separable equations