Prince Edward Island · Grade 12
Calculus 12
- MAT611B
Prince Edward Island’s Grade 12 math course: Calculus.
- Units
- 1
- Lessons
- 5
- Skills
- 22
- Provincial exam
- None
- Official curriculum
- Prince Edward Island Department of Education and Early Years
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 22 skills
Calculus
Limits and continuity
Solving problems involving limits
I can evaluate a limit and use it to solve a problem.
Official code: C1
Asymptotic and end behaviour
I can find a function's asymptotes and end behaviour using limits.
Official code: C2
Continuity
I can decide whether a function is continuous at a point.
Official code: C3
The derivative
The derivative as instantaneous rate of change
I can explain the derivative as an instantaneous rate of change.
Official code: C4
The derivative from the definition
I can find a derivative using the limit definition.
Official code: C5
Differentiation rules
The basic derivative rules
I can differentiate a polynomial using the basic rules.
Official code: C6
Product and quotient rules
I can differentiate a product or a quotient of functions.
Official code: C6
Rates of change and motion
I can use derivatives to solve rate-of-change and motion problems.
Official code: C7
Derivatives of trigonometric functions
I can differentiate trigonometric functions.
Official code: C8
The chain rule
I can differentiate a composite function with the chain rule.
Official code: C9
Inverse trigonometric functions
I can differentiate and solve problems with inverse trigonometric functions.
Official code: C10
Exponential and logarithmic functions
I can find limits and derivatives of exponential and logarithmic functions.
Official code: C11
Applications of the derivative
Analysing a function for its graph
I can analyse a function with its derivatives before sketching it.
Official code: C12
Sketching the graph of a function
I can sketch a function's graph from a full calculus analysis.
Official code: C12
Setting up an optimization problem
I can model an optimization problem as a function to maximize or minimize.
Official code: C13
Solving an optimization problem
I can solve an optimization problem and confirm the answer is a max or min.
Official code: C13
Linearization and Newton's Method
I can use linearization and Newton's Method to approximate values and roots.
Official code: C14
Related rates
I can solve a related-rates problem.
Official code: C15
The integral
The indefinite integral
I can find the indefinite integral of a function.
Official code: C16
The definite integral
I can evaluate a definite integral.
Official code: C17
Area between curves
I can find the area of a region between two curves.
Official code: C18
Accumulation and other applications
I can apply the integral to find an accumulated total.
Official code: C18
The official wording · 22 outcomes
- C1
- Solve problems involving limits.
- C2
- Solve problems involving asymptotic and end behaviour.
- C3
- Solve problems involving continuity.
- C4
- Explore the concept of the derivative as the instantaneous rate of change.
- C5
- Determine the derivative of a function by applying the definition of derivative.
- C6
- Apply derivative rules to determine the derivative of a function, including: Constant Rule; Power Rule; Constant Multiple Rule; Sum Rule; Difference Rule
- C6
- Apply derivative rules to determine the derivative of a function, including: Product Rule; Quotient Rule
- C7
- Use calculus techniques to solve problems involving rates of change, including motion problems involving position, velocity, and acceleration.
- C8
- Find derivatives of trigonometric functions.
- C9
- Apply the Chain Rule to determine the derivative of a function.
- C10
- Solve problems involving inverse trigonometric functions.
- C11
- Find limits and derivatives of exponential and logarithmic functions.
- C12
- Use calculus techniques to sketch the graph of a function.
- C12
- Use calculus techniques to sketch the graph of a function.
- C13
- Use calculus techniques to solve optimization problems.
- C13
- Use calculus techniques to solve optimization problems.
- C14
- Use linearization and Newton’s Method to solve problems.
- C15
- Solve problems involving related rates.
- C16
- Determine the indefinite integral of a function.
- C17
- Determine the definite integral of a function.
- C18
- Solve problems that involve the application of the integral of a function.
- C18
- Solve problems that involve the application of the integral of a function.
Key ideas
A limit is the value a function approaches as x approaches a point.
The average rate of change is the slope of a secant line over an interval.
The power rule: the derivative of x^n is n·x^(n-1).
Where the first derivative is positive the function increases; negative, it decreases.
The indefinite integral is the antiderivative — the reverse of differentiation.
Watch out for
- Assuming the limit equals the function value even where the function is undefined.
- Confusing average rate of change (secant) with instantaneous (tangent).
- Forgetting to reduce the exponent by one in the power rule.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Plan the term
Pick your term and the days you study. Each unit gets its share of the weeks and comes back a week later for a review. The last two weeks go over the whole course.
Which course?
Prince Edward Island has 5 math courses for Grade 12. Here they are side by side.
- Applied MathematicsMAT801A6 units · 46 skillsNo provincial examWhat it coversNumber · Operations · Patterns and Relations · Measurement · Geometry (Spatial Sense) · Data Management
- Apprenticeship and Workplace Mathematics 12MAT621K4 units · 26 skillsNo provincial examWhat it coversGeometry · Measurement · Number · Permutations, Combinations and Binomial Theorem
- Calculus 12This courseMAT611B1 units · 22 skillsNo provincial examWhat it coversCalculus
- Foundations of Mathematics 12MAT621A4 units · 30 skillsNo provincial examWhat it coversFinancial Mathematics · Logical Reasoning · Permutations, Combinations and Binomial Theorem · Relations and Functions
- Pre-Calculus 12MAT621B3 units · 37 skillsNo provincial examWhat it coversPermutations, Combinations and Binomial Theorem · Relations and Functions · Trigonometry
What a university, college or program asks for is theirs to say: check its admission page, and your school’s course guide.
The official curriculum
This page follows Prince Edward Island’s own curriculum for Calculus 12.
Textbooks
The textbooks PEI Department of Education and Early Years lists for Calculus 12:
- Calculus
From Senior High Program of Studies and Authorized Materials, 2026-2027, read October 27, 2026. princeedwardisland.ca
Strands
| Strand | Outcomes | Taught in |
|---|---|---|
| CCalculus | Outcomes 18 | Taught in Unit 1 |
Study it in MapleMind
MapleMind teaches Calculus 12 one skill at a time. Each skill gets a short lesson, practice as you go and a check worth up to three stars. It remembers where you stopped.
Course Companion
Your year in one workbook
A fun way to keep Calculus 12 organized, get to know your child better and see early when they need a hand. Fill it in on a screen, or print it.
- Pages
- 19
- Fillable fields
- 1,142
- Price
- $4.99
Questions about Calculus 12
What is Calculus 12?
Prince Edward Island’s Grade 12 math course: 22 skills in one unit, Calculus.
What units are in Calculus 12?
1. Calculus.
Is there a provincial exam for Calculus 12?
No. Prince Edward Island gives no provincial exam for Calculus 12.
What textbook does Calculus 12 use?
The textbooks PEI Department of Education and Early Years lists for Calculus 12: Calculus, Pearson Education Canada.
Can MapleMind help with Calculus 12?
Yes. MapleMind teaches every skill of Calculus 12, step by step, with practice and checks, and its tutor answers questions about any of them. It’s free with daily limits, on iPhone, Android and the web.
Get ready for Calculus 12
Practise every skill of Calculus 12 in MapleMind, free with daily limits.
