Get help with Calculus 12
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The official Prince Edward Island Calculus 12 curriculum
Prince Edward Island defines Calculus 12 by strands and outcomes. MapleMind teaches the same curriculum reorganized for one-skill-at-a-time tutoring — the table shows exactly where every official strand lands, and the ministry's own wording is quoted under each unit below.
Official source Prince Edward Island's official curriculumRead it on the government site — princeedwardisland.ca ↗| Official strand | Outcomes | Where MapleMind teaches it |
|---|---|---|
| Strand C | 18 | Calculus |
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How MapleMind teaches Calculus 12 — every unit, lesson, and skill
Every skill below runs as a short session: a plain-words lesson, a worked example, solving it together, then a five-question skill check that earns up to three stars. Guided Mode keeps it teaching instead of answer-handing — turning it off needs a parent's password.
Unit 1CalculusOfficial strand · Strand C
Limits, continuity, the derivative and its rules and applications, and the integral and its applications.
Limits and continuity
- Solving problems involving limitsC1 — Evaluate limits, including one-sided limits, numerically, graphically, and algebraically, and solve problems involving them.
- Asymptotic and end behaviourC2 — Use limits to determine the asymptotic and end behaviour of a function.
- ContinuityC3 — Determine whether a function is continuous at a point and classify discontinuities.
The derivative
- The derivative as instantaneous rate of changeC4 — Explore the derivative as the instantaneous rate of change, connecting the slope of a secant to the slope of a tangent.
- The derivative from the definitionC5 — Determine the derivative of a function by applying the limit definition of the derivative.
Differentiation rules
- The basic derivative rulesC6 — Apply the constant, power, constant-multiple, sum, and difference rules to differentiate polynomial functions.
- Product and quotient rulesC6 — Apply the product rule and the quotient rule to differentiate products and quotients of functions.
- Rates of change and motionC7 — Use derivatives to solve problems involving rates of change, including motion problems with position, velocity, and acceleration.
- Derivatives of trigonometric functionsC8 — Find the derivatives of trigonometric functions.
- The chain ruleC9 — Apply the chain rule to differentiate composite functions.
- Inverse trigonometric functionsC10 — Solve problems involving the derivatives of inverse trigonometric functions.
- Exponential and logarithmic functionsC11 — Find the limits and derivatives of exponential and logarithmic functions.
Applications of the derivative
- Analysing a function for its graphC12 — Use the first and second derivatives to determine intervals of increase and decrease, extrema, and concavity of a function.
- Sketching the graph of a functionC12 — Sketch the graph of a function using intercepts, asymptotes, extrema, and concavity found by calculus.
- Setting up an optimization problemC13 — Set up an optimization problem by writing an objective function and a constraint from a described situation.
- Solving an optimization problemC13 — Solve an optimization problem by differentiating the objective function, finding critical points, and confirming the extreme value.
- Linearization and Newton's MethodC14 — Use linearization and Newton's Method to approximate values and roots.
The integral
- The indefinite integralC16 — Determine the indefinite integral of a function as its antiderivative.
- The definite integralC17 — Determine the definite integral of a function using the Fundamental Theorem of Calculus.
- Area between curvesC18 — Use the definite integral to find the area of a region between curves.
- Accumulation and other applicationsC18 — Apply the integral to accumulation problems such as total distance from velocity and net change from a rate.
The official wording — 18 outcomes in this unit
- 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
- 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.
- 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.
Printable workbook · A keepsake of the year
A Calculus 12 workbook worth keeping
Built from the same official curriculum as this page. Before and after each skill above, your student colours in how sure they feel — so the two of you can see, on one page, what's clicking and what needs another look. It's a quiet way to follow how the year is really going.
By June it's full of their own handwriting: units worked through, confidence grown, a mid-year check-in, notes from parent-teacher night, and a certificate at the end. Less a worksheet, more a record of the year worth keeping on the shelf.
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Common questions
Can MapleMind help me with Calculus 12?
Yes. MapleMind's AI tutor covers all 22 skills in Prince Edward Island's Calculus 12 — you pick the exact skill, and the tutor teaches it step by step: a short lesson, a worked example, solving together, then a skill check to show it stuck.
Is MapleMind aligned to Prince Edward Island's official curriculum?
Yes. Every skill in this course maps to an official outcome code from Prince Edward Island's Grade 12 Mathematics curriculum, and the ministry's own wording is quoted under each unit on this page — with the official government source linked so you can check it yourself.
What does MapleMind cost?
It's free to start — 5 tutoring chats and a practice quiz every day, no credit card. A Pro subscription ($9.99/month or $49.99/year CAD, 7-day free trial) unlocks unlimited tutoring, practice, and exam simulations.
What if I'm stuck on just one topic?
That's the point of skill-level tutoring: open Calculus 12 in the app, tap the exact skill from the list on this page, and the tutor teaches just that — no wading through lessons you don't need.
Does MapleMind work in French or other languages?
Yes — 14 languages, including French. Both the app and the tutor's explanations switch to the language you choose.
Where can I see the official Prince Edward Island curriculum for Calculus 12?
The official source is linked on this page — Prince Edward Island's official curriculum. The outline here follows it: every MapleMind skill carries its official outcome code, and the ministry's own wording is quoted under each unit.
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