Get help with Pre-Calculus 11
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The official Nova Scotia Pre-Calculus 11 curriculum
Nova Scotia 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 Nova Scotia's official curriculumRead it on the government site — curriculum.novascotia.ca ↗| Official strand | Outcomes | Where MapleMind teaches it |
|---|---|---|
| Strand AN | 6 | Algebra and Number |
| Strand T | 4 | Trigonometry |
| Strand RF | 10 | Relations and Functions |
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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 of real numbers, operations on radicals and radical equations, and rational expressions and equations.
Absolute value of real numbers
- Understanding absolute valueAN01 — Demonstrate an understanding of the absolute value of real numbers as distance from zero, evaluate absolute-value expressions, and order absolute values.
Radicals and radical expressions
- Simplifying and converting radical expressionsAN02 — Compare and order radical expressions, convert between entire and mixed radicals with numerical or variable radicands, and simplify by performing operations.
- Rationalizing denominatorsAN02 — Rationalize monomial and binomial denominators of radical expressions and solve problems involving radical expressions.
Radical equations
- Solving radical equationsAN03 — Solve radical equations limited to square roots, determine restrictions on the variable, and explain why some roots are extraneous.
Rational expressions and equations
- Equivalent forms of rational expressionsAN04 — Determine equivalent forms of rational expressions, simplify them, and state non-permissible values.
- Operations on rational expressionsAN05 — Perform addition, subtraction, multiplication, and division on rational expressions and simplify expressions involving multiple operations.
- Solving rational equationsAN06 — Solve rational equations, determine non-permissible values, and explain why a value obtained may not be a solution.
The official wording — 6 outcomes in this unit
- AN01
Demonstrate an understanding of the absolute value of real numbers
- AN02
Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands
- AN03
Solve problems that involve radical equations (limited to square roots)
- AN04
Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials)
- AN05
Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials)
- AN06
Solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials or trinomials)
Unit 2TrigonometryOfficial strand · Strand T
Angles in standard position, the primary trigonometric ratios for angles from 0° to 360°, radian measure, and the unit circle.
Angles in standard position
- Sketching angles in standard positionT01 — Sketch an angle in standard position given its measure and identify the quadrant in which it terminates.
- Reference angles and reflectionsT01 — Determine the reference angle for an angle in standard position and use reflections to relate angles from 0° to 360° that share a reference angle.
Trig ratios for 0° to 360°
- Trig ratios from a point on the terminal armT02 — Determine the primary trigonometric ratios for an angle from 0° to 360° using a point on its terminal arm, including exact values and the sign of each ratio by quadrant.
- Solving trigonometric equations and problemsT02 — Solve equations of the form sin θ = a, cos θ = a, or tan θ = a for all values of θ from 0° to 360° and solve contextual problems using trig ratios.
Radian measure
- Radian measure and degree-radian conversionT03 — Understand angles expressed in degrees and radians, sketch angles in radian measure, and convert between degrees and radians.
- Coterminal angles and arc lengthT03 — Determine coterminal angles in degrees and radians and relate the radian measure of an angle to the arc length on a circle of radius r.
The unit circle
- The equation of the unit circleT04 — Derive the equation of the unit circle from the Pythagorean theorem, describe trig ratios using a point on it, and generalize to a circle of radius r.
The official wording — 4 outcomes in this unit
- T01
Demonstrate an understanding of angles in standard position [0° to 360°]
- T02
Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position
- T03
Demonstrate an understanding of angles in standard position, expressed in degrees and radians
- T04
Develop and apply the equation of the unit circle
Unit 3Relations and FunctionsOfficial strand · Strand RF
Factoring polynomial expressions, absolute value and quadratic functions, quadratic and system equations, inequalities, arithmetic and geometric sequences, and reciprocal functions.
Factoring polynomial expressions
- Common factors and quadratic trinomialsRF01 — Factor a polynomial expression by identifying common factors and factor a quadratic trinomial of the form ax² + bx + c.
- Difference of squaresRF01 — Factor a polynomial expression that is a difference of squares of the form a²x² − b²y².
- Quadratic-pattern factoring by substitutionRF01 — Factor a polynomial expression that has a quadratic pattern, including forms a[f(x)]² + b[f(x)] + c and a²[f(x)]² − b²[g(y)]².
Absolute value functions
- Graphing absolute value functionsRF02 — Graph and analyze absolute value functions of linear and quadratic functions, stating intercepts, domain, and range, and express them in piecewise notation.
- Solving absolute value equationsRF02 — Solve absolute value equations graphically and algebraically, explain why |f(x)| < 0 has no solution, and solve problems involving absolute value functions.
Quadratic functions
- Quadratic functions in vertex formRF03 — Analyze quadratic functions in vertex form to determine the vertex, domain and range, direction of opening, axis of symmetry, and intercepts.
- Quadratic functions in standard formRF04 — Analyze quadratic functions in standard form ax² + bx + c by completing the square to identify the vertex and other characteristics and to solve problems.
Quadratic equations and systems
- Solving quadratic equations by several methodsRF05 — Solve quadratic equations by factoring, completing the square, and the quadratic formula, and derive the quadratic formula.
- The discriminant and the roots-zeros-intercepts linkRF05 — Use the discriminant to determine whether a quadratic equation has two, one, or no real roots and explain the relationship among roots, zeros, and x-intercepts.
- Systems involving quadraticsRF06 — Solve algebraically and graphically systems of linear-quadratic and quadratic-quadratic equations in two variables.
Quadratic inequalities
- Linear and quadratic inequalitiesRF07 — Solve problems involving linear and quadratic inequalities in two variables using test points and appropriate boundary lines.
Sequences and series
- Arithmetic sequences and seriesRF09 — Analyze arithmetic sequences and series, deriving and applying rules for the general term and the sum of n terms.
- Geometric sequences and seriesRF10 — Analyze geometric sequences and series, deriving rules for the general term and sums, including convergence of infinite geometric series.
Reciprocal functions
- Graphing reciprocal functionsRF11 — Graph and analyze reciprocal functions of linear and quadratic functions, relating vertical asymptotes to the original function's zeros.
The official wording — 10 outcomes in this unit
- RF01
Factor polynomial expressions of the form
- RF02
Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems
- RF03
Analyze quadratic functions of the form and determine the: ▪ vertex ▪ domain and range ▪ direction of opening ▪ axis of symmetry ▪ x- and y-intercepts
- RF04
Analyze quadratic functions of the form
- RF05
Solve problems that involve quadratic equations
- RF06
Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic- quadratic equations in two variables
- RF07
Solve problems that involve linear and quadratic inequalities in two variables
- RF09
Analyze arithmetic sequences and series to solve problems
- RF10
Analyze geometric sequences and series to solve problems
- RF11
Graph and analyze reciprocal functions (limited to the reciprocal of linear and quadratic functions)
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 28 skills in Nova Scotia'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 Nova Scotia's official curriculum?
Yes. Every skill in this course maps to an official outcome code from Nova Scotia'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 Nova Scotia curriculum for Pre-Calculus 11?
The official source is linked on this page — Nova Scotia'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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