logo

How It Works

flag

Prince Edward Island

Math

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Grade 6

Grade 7

Grade 8

Grade 9

Grade 10

Grade 11

Grade 12

Grade 12 Math Courses - PEI Curriculum

Discover PEI's Grade 12 math options, from advanced calculus to workplace mathematics. Choose your path and prepare for post-secondary education or career success with our comprehensive course offerings.

Mathematics 12 (MAT621A)

Pre-Calculus 12 (MAT621B)

Advanced Mathematics and Calculus 12 (MAT611B)

Apprenticeship and Workplace Mathematics 12 (MAT631A)

PEI Grade 12 Math Curriculum - Advanced Courses and Pathways

Print

​
​
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
Chain rule
Product rule
Quotient rule
Derivative of inverse trigonometric functions
Power rule
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
Related rates
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:
Optimization
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
Euler's method
Quadratic approximation
PI.CO.C12.C16
Determine the indefinite integral of a function:
Antiderivatives
U-Substitution
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:
Riemann sum
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
Arc length
Average value of a function
Consumer and producer surplus
Continuous money flow

Explore

Geometry

Trigonometry

Algebra

Basic Math

Statistics

Calculus

Differential Equations

Linear Algebra

Chemistry

Organic Chemistry

Physics

Microeconomics

Learning

For Students

For Parents

For Home Schoolers

For Teachers

About

About Us

How it works

Pricing

FAQ

Testimonials

Contact Us

Blog

Curriculum

Australia

Canada

Ireland

New Zealand

Singapore

United Kingdom

United States

youtube
facebook
instagram
x.com

© 2015 – 2025 StudyPug

Sitemap

Terms of Service

Privacy Policy