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The official Prince Edward Island Pre-Calculus 11 curriculum
Prince Edward Island defines Pre-Calculus 11 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 AN | 6 | Algebra and Number |
| Strand RF | 11 | Relations and Functions |
| Strand T | 3 | Trigonometry |
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How MapleMind teaches Pre-Calculus 11 — 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 1Algebra and NumberOfficial strand · Strand AN
Absolute value, operations on radicals and radical equations, and equivalent forms of and operations on rational expressions and equations.
Absolute value of real numbers
- Absolute value of real numbersAN1 — Demonstrate an understanding of the absolute value of real numbers as distance from zero.
Operations on radicals
- Simplifying and operating on numerical radicalsAN2 — Simplify and perform operations on radicals with numerical radicands.
- Radicals with variable radicandsAN2 — Perform operations on radical expressions with variable radicands and state the restrictions.
Radical equations
- Solving radical equationsAN3 — Solve radical equations limited to square roots, checking for extraneous roots.
Rational expressions and equations
- Equivalent forms of rational expressionsAN4 — Determine equivalent forms of rational expressions by factoring and stating non-permissible values.
- Multiplying and dividing rational expressionsAN5 — Multiply and divide rational expressions, stating restrictions.
- Adding and subtracting rational expressionsAN5 — Add and subtract rational expressions using a common denominator, stating restrictions.
- Solving rational equationsAN6 — Solve problems that involve rational equations, checking for extraneous roots.
The official wording — 6 outcomes in this unit
- AN1
Demonstrate an understanding of the absolute value of real numbers
- AN2
operations on radicals and radical expressions with numerical and variable radicands
- AN3
Solve radical equations (limited to square roots)
- AN4
Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials)
- AN5
Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials)
- AN6
Solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials or trinomials)
Unit 2Relations and FunctionsOfficial strand · Strand RF
Factoring polynomials, absolute value and quadratic functions, quadratic equations, systems and inequalities, arithmetic and geometric sequences and series, and reciprocal functions.
Factoring polynomials
- Factoring trinomialsRF1 — Factor trinomials of the form ax² + bx + c where a, b, and c are rational numbers.
- Factoring differences of squaresRF1 — Factor polynomials that are differences of squares of the form a²x² − b²y².
Absolute value functions
- Absolute value of linear functionsRF2 — Graph and analyse the absolute value of linear functions.
- Absolute value of quadratic functionsRF2 — Graph and analyse the absolute value of quadratic functions.
Quadratic functions in vertex form
- Vertex and direction of opening from vertex formRF3 — Determine the vertex and direction of opening of a quadratic function in vertex form.
- Domain, range and axis of symmetry from vertex formRF3 — Determine the domain, range, and axis of symmetry of a quadratic in vertex form.
- Intercepts from vertex formRF3 — Determine the x- and y-intercepts of a quadratic function in vertex form.
Quadratic functions in general form
- Vertex and axis from general formRF4 — Determine the vertex, axis of symmetry, and direction of opening of a quadratic in general form.
- Intercepts, domain and range from general formRF4 — Determine the intercepts, domain, and range of a quadratic function in general form.
- Solving problems with quadratic functionsRF4 — Apply quadratic-function analysis to solve maximum, minimum, and modelling problems.
Quadratic equations
- Solving quadratic equations by factoringRF5 — Solve quadratic equations by factoring using the zero-product property.
- Solving quadratic equations with the quadratic formulaRF5 — Solve quadratic equations using the quadratic formula and interpret the discriminant.
Systems and inequalities with quadratics
- Non-linear systems graphicallyRF6 — Solve linear-quadratic and quadratic-quadratic systems graphically.
- Non-linear systems algebraicallyRF6 — Solve linear-quadratic and quadratic-quadratic systems algebraically by substitution or elimination.
- Linear and quadratic inequalities in two variablesRF7 — Solve problems that involve linear inequalities in two variables by graphing the solution region.
- Quadratic inequalities in two variablesRF7 — Solve problems that involve quadratic inequalities in two variables by graphing the solution region.
- Quadratic inequalities in one variableRF8 — Solve problems that involve quadratic inequalities in one variable using sign analysis.
Arithmetic and geometric sequences and series
- Arithmetic sequencesRF9 — Analyse arithmetic sequences and find the general term.
- Arithmetic seriesRF9 — Analyse arithmetic series and find partial sums.
- Geometric sequencesRF10 — Analyse geometric sequences and find the general term.
- Geometric seriesRF10 — Analyse geometric series and find finite and infinite sums where they exist.
Reciprocal functions
- Reciprocals of linear functionsRF11 — Graph and analyse reciprocal functions limited to the reciprocal of linear functions.
The official wording — 11 outcomes in this unit
- RF1
Factor polynomials of the form: x 2 , 0; ax bx c a z
- RF2
Graph and analyse absolute value functions (limited to linear and quadratic functions) to solve problems
- RF3
Analyse quadratic functions of the form y a x p q 2 and determine the: x vertex; x direction of opening
- RF4
Analyse quadratic functions of the form y ax bx c 2 to identify characteristics of the corresponding graph, including: x vertex; x direction of opening; x axis of symmetry
- RF5
Solve problems that involve quadratic equations
- RF6
Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables
- RF7
Solve problems that involve linear and quadratic inequalities in two variables
- RF8
Solve problems that involve quadratic inequalities in one variable
- RF9
Analyse arithmetic sequences and series to solve problems
- RF10
Analyse geometric sequences and series to solve problems
- RF11
Graph and analyse reciprocal functions (limited to the reciprocal of linear functions)
Unit 3TrigonometryOfficial strand · Strand T
Angles in standard position, the primary trigonometric ratios from 0° to 360°, and the cosine and sine laws including the ambiguous case.
Angles in standard position
- Angles in standard positionT1 — Demonstrate an understanding of angles in standard position from 0° to 360°, including reference angles.
Trigonometric ratios from 0° to 360°
- Trig ratios from the terminal armT2 — Compute the primary trigonometric ratios for an angle from a point on its terminal arm, using quadrant signs.
- Solving problems with the ratios over 0° to 360°T2 — Solve problems by finding all angles in 0° to 360° that produce a given trigonometric ratio value.
The cosine and sine laws, including the ambiguous case
- Applying the cosine and sine lawsT3 — Solve triangle problems using the cosine law and the sine law.
- The ambiguous case of the sine lawT3 — Recognize and resolve the ambiguous (SSA) case of the sine law, finding zero, one, or two triangles.
The official wording — 3 outcomes in this unit
- T1
Demonstrate an understanding of angles in standard position
- T2
using the three primary trigonometric ratios for angles from 00 to 3600 in standard position
- T3
Solve problems, using the cosine law and sine law, including the ambiguous case
Printable workbook · A keepsake of the year
A Pre-Calculus 11 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 11?
Yes. MapleMind's AI tutor covers all 35 skills in Prince Edward Island's Pre-Calculus 11 — 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 11 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 11 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 11?
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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