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The official Prince Edward Island Pre-Calculus 12 curriculum
Prince Edward Island defines Pre-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 PC | 2 | Permutations, Combinations and Binomial Theorem |
| Strand RF | 14 | Relations and Functions |
| Strand T | 6 | Trigonometry |
Every skill below, taught one on one.
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How MapleMind teaches Pre-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 1Permutations, Combinations and Binomial TheoremOfficial strand · Strand PC
The fundamental counting principle, permutations and combinations, and expanding binomials with the binomial theorem.
Counting, permutations and combinations
- Counting principle and permutationsPC1 — Solve problems using the fundamental counting principle and permutations.
- CombinationsPC1 — Solve problems using combinations, distinguishing them from permutations.
- The binomial theoremPC2 — Expand powers of a binomial using the binomial theorem, with coefficients from combinations.
- A specific term of a binomial expansionPC2 — Find a specific term of a binomial expansion using the general term.
The official wording — 2 outcomes in this unit
- PC1
Solve problems involving the fundamental counting principle, permutations
- PC2
Expand powers of a binomial in a variety of ways, including using the binomial theorem (restricted to exponents that are natural numbers).
Unit 2Relations and FunctionsOfficial strand · Strand RF
Operations and compositions of functions, transformations, inverses, logarithms and their laws, and graphing exponential, logarithmic, polynomial, radical, and rational functions.
Operations and composition of functions
- Operations on functionsRF1 — Perform operations on functions (sum, difference, product, quotient), including their domains.
- Composition of functionsRF1 — Form and evaluate compositions of functions, including their domains.
Transformations of functions
- Translations of graphsRF2 — Demonstrate an understanding of horizontal and vertical translations on graphs and their equations.
- Stretches of graphsRF3 — Demonstrate an understanding of horizontal and vertical stretches on graphs and their equations.
- Applying translations and stretchesRF4 — Apply combined translations and stretches to the graph of a function.
- Transformed equationsRF4 — Write and interpret the equation of a function that has been translated and stretched.
- Reflections in the axesRF5 — Demonstrate an understanding of reflections of graphs in the x-axis and the y-axis.
- Reflection in the line y = xRF5 — Demonstrate an understanding of the reflection of a graph in the line y = x.
- Inverses of relationsRF6 — Demonstrate an understanding of inverses of relations.
Logarithms and their laws
- Understanding logarithmsRF7 — Demonstrate an understanding of logarithms as the inverse of exponentials.
- The product, quotient and power lawsRF8 — Demonstrate an understanding of the product and quotient laws of logarithms.
- The power law and change of baseRF8 — Demonstrate an understanding of the power law of logarithms and change of base.
- Graphing exponential functionsRF9 — Graph and analyse exponential functions.
- Graphing logarithmic functionsRF9 — Graph and analyse logarithmic functions.
- Exponential equationsRF10 — Solve problems that involve exponential equations.
- Logarithmic equationsRF10 — Solve problems that involve logarithmic equations, checking for extraneous roots.
Polynomial, radical and rational functions
- Factoring higher-degree polynomialsRF11 — Factor polynomials of degree greater than 2 (up to degree 5, integral coefficients).
- Graphing polynomial functionsRF12 — Graph and analyse the shape and end behaviour of polynomial functions up to degree 5.
- Roots and intercepts of polynomialsRF12 — Graph polynomial functions using their roots, multiplicity, and intercepts from the factored form.
- Graphing radical functionsRF13 — Graph and analyse radical functions involving one radical.
- Graphing rational functionsRF14 — Graph and analyse the asymptotes of rational functions.
- Sketching rational functionsRF14 — Sketch rational functions using intercepts, asymptotes, and behaviour near the asymptotes.
The official wording — 14 outcomes in this unit
- RF1
Demonstrate an understanding of operations on, and compositions of, functions.
- RF2
Demonstrate an understanding of the effects of horizontal and vertical translations on the graphs of functions and their related equations.
- RF3
Demonstrate an understanding of the effects of horizontal and vertical stretches on the graphs of functions and their related equations.
- RF4
Apply translations and stretches to the graphs and equations of functions.
- RF5
effects of reflections on the graphs of functions and their related equations, including reflections through the: x x-axis; x y-axis
- RF6
Demonstrate an understanding of inverses of relations.
- RF7
Demonstrate an understanding of logarithms.
- RF8
Demonstrate an understanding of the product, quotient and power laws of logarithms.
- RF9
Graph and analyse exponential and logarithmic functions.
- RF10
Solve problems that involve exponential and logarithmic equations.
- RF11
Demonstrate an understanding of factoring polynomials of degree greater than 2 (limited to polynomials of degree d d 5 with integral coefficients).
- RF12
Graph and analyse polynomial functions (limited to polynomials functions of degree d d 5).
- RF13
Graph and analyse radical functions (limited to functions involving one radical).
- RF14
Graph and analyse rational functions (limited to numerators and denominators that are monomials, binomials or trinomials).
Unit 3TrigonometryOfficial strand · Strand T
Angles in standard position, the unit circle, the six trigonometric ratios, graphing trigonometric functions, solving trigonometric equations, and proving identities.
Angles and the unit circle
- Angles in standard positionT1 — Demonstrate an understanding of angles in standard position in degrees and radians.
- The unit circleT2 — Develop and apply the equation of the unit circle.
Trigonometric ratios and graphs
- The six trigonometric ratiosT3 — Solve problems using sine, cosine, and tangent for angles in radians and degrees.
- Reciprocal trigonometric ratiosT3 — Solve problems using cosecant, secant, and cotangent for angles in radians and degrees.
- Graphing sine and cosineT4 — Graph and analyse the sine and cosine functions, including amplitude, period, and shifts.
- Graphing tangentT4 — Graph and analyse the tangent function, including its asymptotes and period.
Trigonometric equations and identities
- Solving trigonometric equationsT5 — Solve first-degree trigonometric equations algebraically and graphically over a domain in degrees and radians.
- Second-degree trigonometric equationsT5 — Solve second-degree trigonometric equations algebraically over a domain in degrees and radians.
- Reciprocal, quotient and Pythagorean identitiesT6 — Prove trigonometric identities using reciprocal, quotient, and Pythagorean identities.
- Sum and difference identitiesT6 — Prove trigonometric identities using sum and difference identities for sine, cosine, and tangent.
- Double-angle identitiesT6 — Prove trigonometric identities using double-angle identities for sine, cosine, and tangent.
The official wording — 6 outcomes in this unit
- T1
Demonstrate an understanding of angles in standard position, expressed in degrees and radians.
- T2
Develop and apply the equation of the unit circle.
- T3
Solve problems, using the six trigonometric ratios for angles expressed in radians and degrees.
- T4
Graph and analyse the trigonometric functions sine, cosine and tangent to solve problems.
- T5
Solve, algebraically and graphically, first and second degree trigonometric equations with the domain expressed in degrees and radians.
- T6
Prove trigonometric identities, using: x reciprocal identities; x quotient identities; x Pythagorean identities
Printable workbook · A keepsake of the year
A Pre-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.
Instant download · see every page, reviews and the full description · five or more workbooks are $2.99 each
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Common questions
Can MapleMind help me with Pre-Calculus 12?
Yes. MapleMind's AI tutor covers all 37 skills in Prince Edward Island's Pre-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 Pre-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 Pre-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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