Grade 12 Topics The final climb — trig identities, then the calculus core of limits, derivatives, and integrals, plus vectors and conic sections. Each topic is taught from the ground up with interactive, self-checking lessons.
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The course — 7 topics, in order
01 Trigonometric Identities The Pythagorean identity, sum and double-angle formulas, proving identities, and solving trig equations. 6 lessons 02 Limits & Continuity What a function approaches: reading limits from graphs, computing them with algebra, and where functions break. 6 lessons 03 Derivatives The slope of a curve: the derivative as a limit, and the power, product, quotient, and chain rules. 6 lessons 04 Applications of Derivatives Tangent lines, increasing and decreasing, maxima and minima, and optimization problems that pay. 6 lessons 05 Integrals Undoing the derivative: antiderivatives, the area under a curve, and the Fundamental Theorem of Calculus. 6 lessons 06 Vectors Magnitude and direction: components, addition, scalar multiples, the dot product, and the angle between. 6 lessons 07 Conic Sections Circles, ellipses, parabolas, and hyperbolas — the four curves hiding in a sliced cone. 6 lessons