Prince Edward Island

Grade 12

PEI Grade 12 Math Curriculum

Video lessons and practice for every Grade 12 math topic. Aligned to what PEI schools teach. Master calculus, advanced functions, and problem-solving with step-by-step help.

Foundations of Mathematics 12 (MAT621A)

Pre-Calculus 12 (MAT621B)

Advanced Mathematics and Calculus 12 (MAT611B)

Apprenticeship and Workplace Mathematics 12 (MAT631K)

PEI Grade 12 Math Curriculum | StudyPugHelp

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CO_ID	Curriculum Outcome	StudyPug Topic
PI.CO.C12.C1	Solve problems involving limits:	Finding limits from graphs Continuity Finding limits algebraically - direct substitution Finding limits algebraically - when direct substitution is not possible Infinite limits - vertical asymptotes Limits at infinity - horizontal asymptotes Squeeze theorem Ratio test Root test l'Hospital's rule Limit laws

PI.CO.C12.C2

Solve problems involving asymptotic and end behaviour:

Slant asymptote

Vertical asymptote

Horizontal asymptote

Intermediate value theorem

PI.CO.C12.C3

Solve problems involving continuity:

Point of discontinuity

PI.CO.C12.C4

Explore the concept of the derivative as the instantaneous rate of change:

Definition of derivative

Difference quotient: applications of functions

PI.CO.C12.C5

Determine the derivative of a function by applying the definition of derivative:

Higher order derivatives

Estimating Derivatives from a table

PI.CO.C12.C6

Apply derivative rules to determine the derivative of a function:

Slope and equation of tangent line

Derivative of inverse trigonometric functions

Derivative of exponential functions

Derivative of logarithmic functions

Implicit differentiation

PI.CO.C12.C7

Use calculus techniques to solve problems involving rates of change:

Position velocity acceleration

Demand, revenue, cost & profit

Marginal revenue, and maximizing revenue & average revenue

Marginal cost, and minimizing cost & average cost

Marginal profit, and maximizing profit & average profit

PI.CO.C12.C8

Find derivatives of trigonometric functions:

Derivative of trigonometric functions

PI.CO.C12.C10

Solve problems involving inverse trigonometric functions:

Finding inverse trigonometric function from its graph

Evaluating inverse trigonometric functions

Finding inverse reciprocal trigonometric function from its graph

Inverse reciprocal trigonometric function: finding the exact value

PI.CO.C12.C12

Use calculus techniques to sketch the graph of a function:

Critical number & maximum and minimum values

Curve sketching

PI.CO.C12.C13

Use calculus techniques to solve optimization problems:

Elasticity of demand

PI.CO.C12.C14

Use linearization and Newton's Method to solve problems:

Mean value theorem

Linear approximation

Taylor series and Maclaurin series

Approximating functions with Taylor polynomials and error bounds

Quadratic approximation

PI.CO.C12.C16

Determine the indefinite integral of a function:

Antiderivatives

Trigonometric substitution

Integration of rational functions by partial fractions

Integration by parts

Integration using trigonometric identities

PI.CO.C12.C17

Determine the definite integral of a function:

Fundamental theorem of calculus

Improper integrals

Definite integral

Numerical integration

PI.CO.C12.C18

Solve problems that involve the application of the integral of a function:

Areas between curves

Volumes of solids of revolution - Disc method

Volumes of solid with known cross-sections

Volumes of solid of revolution - Shell method

Average value of a function

Consumer and producer surplus

Continuous money flow