Get help with Pre-Calculus 30
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The official Saskatchewan Pre-Calculus 30 curriculum
Saskatchewan defines Pre-Calculus 30 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 PC | 13 | Trigonometry · Functions and Transformations · Permutations, Combinations, and the Binomial Theorem |
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How MapleMind teaches Pre-Calculus 30 — 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 1TrigonometryOfficial strand · Strand PC
Angles in standard position and radians, the unit circle and six trigonometric ratios, graphs of trigonometric functions, trigonometric equations, and trigonometric identities.
Angles in Standard Position
- Standard position, degrees, and radiansPC30.1 — Sketch angles in standard position and convert between degree and radian measures.
- Coterminal angles and arc lengthPC30.1 — Determine coterminal angles and their general form, and relate radian measure to arc length on a circle.
The Unit Circle and Trigonometric Ratios
- The unit circle and the six ratiosPC30.2 — Derive the equation of the unit circle and define the six trigonometric ratios in terms of x, y, and r for any angle in standard position.
- Exact values at special anglesPC30.2 — Determine exact trigonometric ratios for angles that are multiples of 30°, 45°, and 60° using the unit circle or reference triangles.
- Solving problems with trigonometric ratiosPC30.2 — Determine angles that have a given trigonometric ratio value in a specified domain and solve situational questions using trigonometric ratios.
Graphs of Trigonometric Functions
- Graphing sine, cosine, and tangentPC30.3 — Sketch the graphs of sine, cosine, and tangent and determine their characteristics.
- Transforming trigonometric graphsPC30.3 — Determine and apply the effect of the coefficients a, b, c, d on sine and cosine graphs, write equations for given graphs, and model situations.
Trigonometric Equations
- Solving trigonometric equations algebraicallyPC30.4 — Determine algebraically the exact solutions to first- and second-degree trigonometric equations in a restricted domain.
- General solutions of trigonometric equationsPC30.4 — Determine the general solutions of trigonometric equations and relate them to the zeros of the related functions.
Trigonometric Identities
- Reciprocal, quotient, and Pythagorean identitiesPC30.5 — Use reciprocal, quotient, and Pythagorean identities and prove trigonometric identities algebraically, including non-permissible values.
- Sum, difference, and double-angle identitiesPC30.5 — Apply sum, difference, and double-angle identities to find exact values and prove identities.
The official wording — 5 outcomes in this unit
- PC30.1
angles to angles in standard position, expressed in degrees and radians.
- PC30.2
the unit circle and its relationship to the six trigonometric ratios for any angle in standard position.
- PC30.3
the graphs of the primary trigonometric functions.
- PC30.4
first- and second-degree trigonometric equations.
- PC30.5
trigonometric identities including: • reciprocal identities • quotient identities • Pythagorean identities
Unit 2Functions and TransformationsOfficial strand · Strand PC
Operations on and compositions of functions, transformations, reflections and inverses, logarithms, higher-degree polynomials, and radical and rational functions.
Operations and Compositions of Functions
- Combining functions arithmeticallyPC30.6 — Form the sum, difference, product, and quotient of functions and determine the resulting domain and range.
- Composing functionsPC30.6 — Determine, evaluate, and graph compositions of functions and write a function as a composition.
Transformations of Functions
- Translations and stretches of functionsPC30.7 — Apply horizontal and vertical translations and stretches to the graph of y = f(x) and write the transformed equation.
Reflections and Inverses
- Reflecting functionsPC30.8 — Sketch and write equations for reflections of a function through the x-axis, the y-axis, and the line y = x.
- Inverse relations and functionsPC30.8 — Determine the inverse of a relation, decide whether the inverse is a function, and find the domain restriction needed.
Logarithms
- Logarithms and exponentsPC30.9 — Relate logarithms to exponents and evaluate logarithms exactly and using benchmarks.
- Laws of logarithmsPC30.9 — Derive and apply the laws of logarithms to determine equivalent logarithmic expressions.
- Solving exponential and logarithmic equationsPC30.9 — Solve exponential and logarithmic equations, identify extraneous solutions, and solve situational growth/decay and log-scale problems.
- Graphing exponential and logarithmic functionsPC30.9 — Analyze, sketch, and transform graphs of exponential and logarithmic functions and show they are inverses of each other.
Polynomial Functions
- Polynomial division and the factor theoremPC30.10 — Divide polynomials by binomials using long and synthetic division and apply the Remainder and Factor theorems.
- Graphing polynomial functionsPC30.10 — Graph polynomial functions using zeros and multiplicities, degree, and the leading coefficient.
- Modelling and solving with polynomial functionsPC30.10 — Solve situational questions by modelling with polynomial functions and analyzing their graphs.
Radical and Rational Functions
- Radical functionsPC30.11 — Graph radical functions and their transformations and relate the roots of a radical equation to its x-intercepts.
- Rational functionsPC30.11 — Sketch rational functions and determine their asymptotes and holes from the equation.
The official wording — 6 outcomes in this unit
- PC30.6
operations on, and compositions of, functions.
- PC30.7
transformations to include functions (given in equation or graph form) in general, including horizontal and vertical translations, and horizontal and vertical stretches.
- PC30.8
reflections through the: • x-axis • y-axis • line y = x.
- PC30.9
logarithms including: • evaluating logarithms • relating logarithms to exponents
- PC30.10
polynomials and polynomial functions of degree greater than 2 (limited to polynomials of degree ≤ 5 with integral coefficients).
- PC30.11
radical and rational functions with restrictions on the domain.
Unit 3Permutations, Combinations, and the Binomial TheoremOfficial strand · Strand PC
Counting with the fundamental counting principle, permutations, combinations, and the binomial theorem via Pascal's triangle.
Permutations
- The fundamental counting principlePC30.12 — Apply the fundamental counting principle using lists and tree diagrams to count arrangements.
- The permutation formulaPC30.12 — Determine permutations of n elements taken r at a time using factorial notation, including repeated elements, and solve nPr equations.
Combinations and the Binomial Theorem
- CombinationsPC30.13 — Determine combinations of n elements taken r at a time, distinguish them from permutations, and solve combination equations.
- Pascal's triangle and the binomial theoremPC30.13 — Use Pascal's triangle and the binomial theorem to expand (x + y)ⁿ and determine specific terms.
The official wording — 2 outcomes in this unit
- PC30.12
permutations, including the fundamental counting principle.
- PC30.13
combinations of elements, including the application to the binomial theorem.
Printable workbook · A keepsake of the year
A Pre-Calculus 30 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 30?
Yes. MapleMind's AI tutor covers all 29 skills in Saskatchewan's Pre-Calculus 30 — 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 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 30 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 30?
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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