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The official Saskatchewan Pre-Calculus 20 curriculum
Saskatchewan defines Pre-Calculus 20 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 Saskatchewan's official curriculumRead it on the government site — curriculum.gov.sk.ca ↗| Official strand | Outcomes | Where MapleMind teaches it |
|---|---|---|
| Strand AN | 3 | Absolute Value and Radicals · Rational Expressions |
| Strand T | 2 | Trigonometry |
| Strand RF | 6 | Quadratic Functions and Equations · Inequalities, Sequences, and Reciprocals |
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How MapleMind teaches Pre-Calculus 20 — 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 1Absolute Value and RadicalsOfficial strand · Strand AN
Absolute value of real numbers and functions, and radical expressions and equations with numerical and variable radicands.
Absolute Value
- Absolute value of real numbersP20.1 — Determine the absolute value of real numbers and simplify expressions involving absolute value.
- Graphing y = |f(x)|P20.1 — Graph y = |f(x)| given y = f(x), and determine its intercepts, domain, and range.
- Solving absolute value equationsP20.1 — Solve equations involving the absolute value of algebraic expressions, algebraically and graphically.
Radicals
- Mixed and entire radicals and simplifyingP20.2 — Convert between entire and mixed radicals and simplify radical expressions with numerical and variable radicands.
- Rationalizing denominatorsP20.2 — Rationalize the denominator of rational expressions with monomial or binomial denominators.
- Radical equations and extraneous rootsP20.2 — Solve radical equations, determine restrictions on the variable, and identify extraneous roots.
The official wording — 2 outcomes in this unit
- P20.1
Demonstrate understanding of the absolute value of real numbers and equations and functions involving the absolute value of linear and quadratic functions.
- P20.2
Expand and demonstrate understanding of radicals with numerical and variable radicands including: • computations
Unit 2Rational ExpressionsOfficial strand · Strand AN
Equivalent rational expressions, operations on them, and solving rational equations with non-permissible values.
Rational Expressions and Equations
- Equivalent forms and simplifyingP20.3 — Determine equivalent rational expressions and simplify them, stating non-permissible values.
- Operations on rational expressionsP20.3 — Add, subtract, multiply, and divide rational expressions, determining non-permissible values.
- Solving rational equationsP20.3 — Solve rational equations that can be simplified to linear or quadratic equations, checking non-permissible values.
The official wording — 1 outcome in this unit
- P20.3
Expand and demonstrate understanding of rational expressions and equations (up to and including degree 2 numerators and denominators) including: • equivalent forms of expressions
Unit 3TrigonometryOfficial strand · Strand T
The primary trigonometric ratios using reference angles and exact values, and the sine and cosine laws including the ambiguous case.
Trig Ratios and Reference Angles
- Standard position and reference anglesP20.4 — Sketch angles in standard position and determine the reference angle and terminal quadrant for angles from 0 to 360 degrees.
- Trig ratios from a point on the terminal armP20.4 — Determine the values of sine, cosine, and tangent for an angle given a point on its terminal arm, and the sign of each ratio by quadrant.
- Exact values for special anglesP20.4 — Determine the exact value of a trigonometric ratio for angles with a reference angle of 30, 45, or 60 degrees.
The Sine and Cosine Laws
- Sine and cosine lawsP20.5 — Derive and apply the sine law and cosine law to solve triangles without a right angle.
- The ambiguous caseP20.5 — Determine the number of triangles possible in the ambiguous case of the sine law and solve accordingly.
The official wording — 2 outcomes in this unit
- P20.4
Expand and demonstrate understanding of the primary trigonometric ratios including the use of reference angles (0° ≤ θ ≤ 360°) and the determination of exact values for trigonometric ratios.
- P20.5
Demonstrate understanding of the cosine law and sine law, including the ambiguous case.
Unit 4Quadratic Functions and EquationsOfficial strand · Strand RF
Factoring polynomial expressions, quadratic functions and their graphs, and quadratic equations and systems.
Factoring Polynomial Expressions
- Factoring advanced polynomial expressionsP20.6 — Factor polynomial expressions including differences of squares and quadratic-in-form expressions with function arguments.
Quadratic Functions
- Transformations and vertex formP20.7 — Analyze how a, p, and q transform the graph of y = a(x-p)^2 + q, and graph functions by applying transformations.
- Completing the squareP20.7 — Complete the square to write y = ax^2 + bx + c in the form y = a(x-p)^2 + q.
- Graphing and characteristicsP20.7 — Determine the vertex, domain and range, direction of opening, axis of symmetry, and intercepts of a quadratic function and sketch its graph.
Quadratic Equations and Systems
- Solving quadratic equationsP20.8 — Solve single-variable quadratic equations by factoring, completing the square, and the quadratic formula.
- The discriminantP20.8 — Use the discriminant to determine whether a quadratic equation has two, one, or no real roots.
- Linear-quadratic and quadratic-quadratic systemsP20.8 — Solve systems of linear-quadratic and quadratic-quadratic equations graphically and algebraically.
The official wording — 3 outcomes in this unit
- P20.6
Expand and demonstrate understanding of factoring polynomial expressions including those of the form:
- P20.7
Demonstrate understanding of quadratic functions of the form y = ax² + bx + c and of their graphs, including: • vertex
- P20.8
Demonstrate understanding of quadratic equations including the solution of: • single variable equations
Unit 5Inequalities, Sequences, and ReciprocalsOfficial strand · Strand RF
Quadratic and two-variable inequalities, arithmetic and geometric sequences and series, and reciprocal functions.
Inequalities
- Two-variable inequalitiesP20.9 — Determine and graph the solution region for two-variable linear and quadratic inequalities.
- One-variable quadratic inequalitiesP20.9 — Solve one-variable quadratic inequalities using roots and test points or sign analysis.
Sequences and Series
- Arithmetic sequences and seriesP20.10 — Determine terms and sums of arithmetic sequences and series using the appropriate formulas.
- Geometric sequences and seriesP20.10 — Determine terms and sums of geometric sequences and finite geometric series.
- Infinite geometric seriesP20.10 — Determine the sum of a convergent infinite geometric series and analyze whether a series converges or diverges.
Reciprocal Functions
- Graphing reciprocal functionsP20.11 — Graph the reciprocal of linear and quadratic functions, relating vertical asymptotes to non-permissible values.
The official wording — 3 outcomes in this unit
- P20.9
Expand and demonstrate understanding of inequalities including: • two-variable linear and quadratic inequalities.
- P20.10
Demonstrate understanding of arithmetic and geometric (finite and infinite) sequences and series.
- P20.11
Demonstrate understanding of reciprocal functions of: • linear functions • quadratic functions.
Printable workbook · A keepsake of the year
A Pre-Calculus 20 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 20?
Yes. MapleMind's AI tutor covers all 27 skills in Saskatchewan's Pre-Calculus 20 — 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 Saskatchewan's official curriculum?
Yes. Every skill in this course maps to an official outcome code from Saskatchewan'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 20 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 Saskatchewan curriculum for Pre-Calculus 20?
The official source is linked on this page — Saskatchewan'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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