Will this help with my child's Grade 12 math homework?

Yes. StudyPug covers every strand in PEI's Advanced Mathematics and Calculus 12 course, from limits and continuity through derivatives and integrals, with step-by-step worked examples that match what students see in class.

How long are the video lessons?

Most video lessons run between five and fifteen minutes, focusing on one concept at a time. Students can pause, rewind, and rewatch as many times as needed, making it easy to work at their own pace alongside their PEI coursework.

Is there a provincial test for Grade 12 math in Prince Edward Island?

Prince Edward Island administers PEI Provincial Assessments, but Grade 12 assessment requirements can vary by course. We recommend checking with your child's school or the PEI Department of Education for the current details for MAT611B.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and computers, so your child can review limits, practice derivative rules, or work through integration problems at home or on the go, whenever it suits them.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can explore the content before committing, and every paid plan is backed by a 30-day money-back guarantee if you are not satisfied.

PEI Grade 12 Math Curriculum

Help your child succeed in Grade 12 Advanced Mathematics and Calculus with lessons and practice problems covering every strand taught in Prince Edward Island schools.

PEI Grade 12 Math Curriculum

CO_IDCurriculum OutcomeStudyPug Topic

PI.CO.C12.C1Solve 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.C2Solve problems involving asymptotic and end behaviour
- Slant asymptote
- Vertical asymptote
- Horizontal asymptote
- Intermediate value theorem
PI.CO.C12.C3Solve problems involving continuity
- Point of discontinuity
PI.CO.C12.C4Explore the concept of the derivative as the instantaneous rate of change
- Definition of derivative
- Difference quotient: applications of functions
PI.CO.C12.C5Determine the derivative of a function by applying the definition of derivative
- Higher order derivatives
- Estimating Derivatives from a table
PI.CO.C12.C6Apply 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.C7Use 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.C8Find derivatives of trigonometric functions
- Derivative of trigonometric functions
PI.CO.C12.C10Solve 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.C12Use calculus techniques to sketch the graph of a function
- Critical number & maximum and minimum values
- Curve sketching
PI.CO.C12.C13Use calculus techniques to solve optimization problems
- Optimization
- Elasticity of demand
PI.CO.C12.C14Use 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
- Taylor polynomials
PI.CO.C12.C16Determine 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.C17Determine the definite integral of a function
- Riemann sum
- Fundamental theorem of calculus
- Improper integrals
- Definite integral
- Numerical integration
PI.CO.C12.C18Solve 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

Grade 12 Advanced Mathematics and Calculus

About Grade 12 Prince Edward Island math

Prince Edward Island follows the Prince Edward Island Curriculum, which organizes Grade 12 Advanced Mathematics and Calculus (MAT611B) around limits, continuity, differential calculus, and integral calculus. Students work through instantaneous rates of change, derivative rules including the Chain Rule, trigonometric and inverse trigonometric derivatives, exponential and logarithmic calculus, optimization, related rates, and both indefinite and definite integrals. StudyPug provides step-by-step lessons, practice problems, and worked examples for every strand in this course.

Strands: limits and continuity, differential calculus, derivative applications, and integral calculus
Step-by-step lessons and worked examples for every topic
Practice problems with full solutions aligned to the PEI curriculum
Tools including optimization walkthroughs, related rates problems, and integration techniques

Curriculum topics by strand

Browse lessons and practice problems for every strand in the Prince Edward Island Grade 12 Advanced Mathematics and Calculus curriculum.

Topic includes:

Practice

Video

Quiz

CO_ID

Curriculum Outcome

StudyPug Topic

PEI Grade 12 Math Topics

Limits and continuity - solving problems involving limits, asymptotic and end behaviour, and continuity.
Introduction to derivatives - exploring the derivative as the instantaneous rate of change and determining derivatives using the definition.
Derivative rules and techniques - applying derivative rules, the Chain Rule, and finding derivatives of trigonometric, inverse trigonometric, exponential, and logarithmic functions.
Applications of derivatives - using calculus to solve rates of change, related rates, optimization, function sketching, linearization, and Newton's Method.
Integral calculus - determining indefinite and definite integrals and solving problems involving applications of integration.

How StudyPug Helps PEI Grade 12 Math Students

When a student gets stuck on a calculus problem - whether it is applying the Chain Rule, setting up a related rates equation, or evaluating a definite integral - StudyPug provides clear, step-by-step video lessons that walk through the concept from the beginning. Students can rewatch any lesson as many times as needed and then reinforce understanding with practice problems and full worked solutions.

Every lesson is organized to match the strands covered in Prince Edward Island's Advanced Mathematics and Calculus 12 course, so students spend less time searching and more time learning the material that actually appears in their class.

Aligned to PEI Grade 12 Math Curriculum

StudyPug content for Advanced Mathematics and Calculus 12 is built around the Prince Edward Island Curriculum, covering the same limits, differential calculus, derivative applications, and integral calculus strands that students study in MAT611B. Families can trust that the lessons and practice problems reflect what Prince Edward Island schools teach at the Grade 12 level.

Ready to put your Grade 12 Math skills to the test?

Jump into practice questions for every PEI Grade 12 topic - with instant feedback and step-by-step video solutions when you get stuck.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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