Pre-Calculus Practice

Functions, trigonometry, sequences and limits for Rhetoric Stage math.

Pre-Calculus path

From functions to calculus readiness

Graph, transform, prove, model

1Functions and GraphsDomain, range, polynomial behavior, rational functions, exponentials, logarithms, and composition.2Trigonometry and Unit CircleRadians, special angles, sine, cosine, tangent, graph features, and quadrant signs.3Identities and LawsPythagorean identities, sum and double-angle formulas, and triangle laws.4Sequences and SeriesArithmetic, geometric, finite and infinite sums, sigma notation, and binomial expansion.5Limits and ContinuityApproach behavior, one-sided disagreement, holes, continuity, and calculus-ready limit habits.6Polar CoordinatesDistance, angle, conversion rules, circles, cardioids, and rose curves.7Parametric EquationsTwo coordinates governed by a third variable, direction of motion, circles, and projectile models.

Topic lens

Functions and Graphs

Ask what inputs are allowed, what outputs are possible, and how the graph behaves at the edges.

Study loop

Name the object. Function, identity, sequence, limit, coordinate form, or parameter.
Find the anchor. Domain, unit-circle value, first term, approach behavior, radius, or t-value.
Make one move. Sketch the family shape before memorizing the rule.

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