PEI Math 521A study guide
PEI Math 521A · Work through your exam, one topic at a time.
PEI Math 521A is a senior high school mathematics course in Prince Edward Island's public school system, and the associated provincial assessment is written by students who complete it. The course sits at the top of the academic mathematics stream, so it is intended for learners who plan to enter university programs in science, engineering, commerce, health sciences, or mathematics itself, and who need a transcript grade that signals readiness for calculus-level work. The PEI Math 521A study guide has 6 sections and about 2,616 words.
01Algebra and Functions
Algebra and Functions on PEI Math 521A asks you to move fluently between symbolic, graphical, and verbal representations of relationships. Expect manipulation of polynomial, rational, radical, exponential, and logarithmic expressions; solving equations and inequalities; and reasoning about domain, range, inverse functions, and transformations.
465 words, about 2 min02Geometry and Trigonometry
Geometry and Trigonometry in Math 521A covers triangle congruence and similarity, circle properties, coordinate geometry, area and volume, and the trigonometric ratios extended to the unit circle. You should be able to prove relationships, apply the sine and cosine laws to non-right triangles, work in radians, and connect trigonometric functions to their graphs and identities.
426 words, about 2 min03Calculus and Pre-Calculus
Calculus and Pre-Calculus in Math 521A bridges function analysis and introductory calculus: limits, continuity, average and instantaneous rates of change, derivative rules, and basic applications such as tangents, extrema, and motion. Pre-calculus content includes polynomial and rational behavior, sequences and series, and trigonometric function analysis.
419 words, about 2 min04Statistics and Probability
Statistics and Probability in Math 521A tests how data are collected, summarized, and interpreted, and how probability models uncertainty. Expect measures of centre and spread, graphical displays, normal distributions and z-scores, counting-based probability, conditional probability, and critical evaluation of study design and correlation versus causation.
398 words, about 2 min05Discrete Mathematics and Mathematical Reasoning
This domain tests formal reasoning and finite structures: logic and truth values, proof technique, sets, counting, relations, and basic graph and recurrence ideas. Questions reward precision - a correct conclusion with an invalid justification loses marks.
446 words, about 2 min06Mathematical Modeling and Problem Solving
Mathematical Modeling and Problem Solving asks you to translate a real or described situation into mathematics, choose an appropriate model, solve it, and interpret the result in context with correct units. Expect linear, quadratic, exponential, and trigonometric models, optimization under constraints, rates, and multi-step problems where the setup is the hard part.
462 words, about 2 min