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The official Alberta Mathematics 20-1 curriculum
Alberta defines Mathematics 20-1 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 Alberta's official programs of studyRead it on the government site — alberta.ca ↗| Official strand | Outcomes | Where MapleMind teaches it |
|---|---|---|
| Algebra and Number | 6 | Algebra and Number |
| Trigonometry | 3 | Trigonometry |
| Relations and Functions | 11 | Relations and Functions |
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How MapleMind teaches Mathematics 20-1 — 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 · Algebra and Number
General outcome: develop algebraic reasoning and number sense. Absolute value, operations on radicals with variable radicands, radical equations, and the algebra of rational expressions and equations.
Absolute Value
- Absolute value as distance20-1.AN.1 — Understand absolute value as distance from zero, determining |a| for real numbers.
- Evaluating and ordering with absolute value20-1.AN.1 — Evaluate expressions involving absolute value and compare/order real numbers using it.
Operations on Radicals
- Radicals with variable radicands20-1.AN.2 — Convert between mixed and entire radicals with numerical and variable radicands, stating variable restrictions.
- Adding and subtracting radicals20-1.AN.2 — Add and subtract like radicals after simplifying to lowest radical form.
- Multiplying, dividing and rationalizing20-1.AN.2 — Multiply and divide radical expressions, rationalizing monomial and binomial denominators.
Radical Equations
- Solving radical equations20-1.AN.3 — Solve equations with square-root radicals by isolating and squaring, checking for extraneous roots.
- Problems with radical equations20-1.AN.3 — Model and solve real problems whose equations involve square roots, verifying solutions in context.
Rational Expressions
- Non-permissible values20-1.AN.4 — Determine non-permissible values of rational expressions (denominator zero).
- Simplifying rational expressions20-1.AN.4 — Simplify rational expressions by factoring and dividing common factors, keeping restrictions.
Operations on Rational Expressions
- Multiplying and dividing20-1.AN.5 — Multiply and divide rational expressions, factoring first and tracking restrictions.
- Adding and subtracting20-1.AN.5 — Add and subtract rational expressions using lowest common denominators of factored denominators.
Rational Equations
- Solving rational equations20-1.AN.6 — Solve rational equations by clearing denominators, rejecting non-permissible solutions.
- Problems with rational equations20-1.AN.6 — Model and solve real problems (rates, work, mixtures) that lead to rational equations.
The official wording — 6 outcomes in this unit
- 20-1.AN.1
Demonstrate an understanding of the absolute value of real numbers.
- 20-1.AN.2
Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands.
- 20-1.AN.3
Solve problems that involve radical equations (limited to square roots).
- 20-1.AN.4
Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials).
- 20-1.AN.5
Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials).
- 20-1.AN.6
Solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials or trinomials).
Unit 2TrigonometryOfficial strand · Trigonometry
General outcome: develop trigonometric reasoning. Angles in standard position from 0° to 360°, the three primary ratios beyond acute angles, and the sine and cosine laws including the ambiguous case.
Angles in Standard Position
- Standard position20-1.T.1 — Sketch angles in standard position from 0° to 360° — initial arm on the positive x-axis, rotation counter-clockwise.
- Reference angles20-1.T.1 — Determine the reference angle for any angle in standard position and relate angles sharing a reference angle across quadrants.
Trig Ratios from 0° to 360°
- Ratios from a terminal-arm point20-1.T.2 — Determine sin, cos and tan of any standard-position angle from a point (x, y) on its terminal arm and r = √(x² + y²).
- Signs by quadrant20-1.T.2 — Determine the sign of each ratio by quadrant (the CAST pattern) and exact values for special angles.
- Finding angles from ratios20-1.T.2 — Solve for angles between 0° and 360° given a ratio value — using reference angles to find BOTH solutions.
The Sine and Cosine Laws
- The sine law20-1.T.3 — Use the sine law to solve oblique triangles given angle-side pairings.
- The cosine law20-1.T.3 — Use the cosine law for two-sides-and-contained-angle and three-sides cases.
- The ambiguous case20-1.T.3 — Analyze the SSA configuration: decide whether zero, one or two triangles exist, and find both when two do.
The official wording — 3 outcomes in this unit
- 20-1.T.1
Demonstrate an understanding of angles in standard position [0° to 360°].
- 20-1.T.2
Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position.
- 20-1.T.3
Solve problems, using the cosine law and sine law, including the ambiguous case.
Unit 3Relations and FunctionsOfficial strand · Relations and Functions
General outcome: develop algebraic and graphical reasoning through the study of relations. Advanced factoring, absolute value functions, quadratic functions and equations, systems, inequalities, sequences and series, and reciprocal functions.
Advanced Factoring
- Trinomials and differences of squares20-1.RF.1 — Factor ax² + bx + c (a ≠ 0) and a²x² − b²y² with rational coefficients.
- Factoring in function form20-1.RF.1 — Factor a(f(x))² + b(f(x)) + c and a²(f(x))² − b²(g(y))² by substitution — treating an expression as a single variable.
Absolute Value Functions
- Graphing y = |f(x)|20-1.RF.2 — Graph absolute value functions of linear and quadratic functions by reflecting below-axis portions up.
- Solving with absolute value graphs20-1.RF.2 — Solve absolute value equations graphically and algebraically by cases, verifying candidate solutions.
Quadratics in Vertex Form
- Reading y = a(x − p)² + q20-1.RF.3 — Determine the vertex, domain and range, direction of opening, axis of symmetry and intercepts from vertex form.
- The roles of a, p and q20-1.RF.3 — Explain how a, p and q transform the parabola (stretch/reflection, horizontal shift, vertical shift) and sketch efficiently.
Quadratics in Standard Form
- Analyzing y = ax² + bx + c20-1.RF.4 — Identify the graph characteristics of a quadratic in standard form, including the vertex from x = −b/(2a).
- Completing the square20-1.RF.4 — Convert standard form to vertex form by completing the square, verifying the two forms are equivalent.
Quadratic Equations
- Roots by factoring and graphing20-1.RF.5 — Solve quadratic equations by factoring and relate roots to x-intercepts (zeros) of the graph.
- The quadratic formula and the discriminant20-1.RF.5 — Solve with the quadratic formula and use the discriminant to determine the nature of the roots.
Linear–Quadratic and Quadratic–Quadratic Systems
- Solving systems graphically20-1.RF.6 — Solve linear–quadratic and quadratic–quadratic systems graphically, relating intersection counts to the geometry.
- Solving systems algebraically20-1.RF.6 — Solve such systems by substitution, interpreting zero, one or two intersection solutions.
Inequalities in Two Variables
- Linear inequalities20-1.RF.7 — Graph linear inequalities in two variables: boundary line (solid/dashed), test point, and shading.
- Quadratic inequalities20-1.RF.7 — Graph quadratic inequalities in two variables (region inside/outside a parabola) and solve problems.
Quadratic Inequalities in One Variable
- Solving with the graph20-1.RF.8 — Solve one-variable quadratic inequalities by reading where the parabola sits above or below the x-axis.
- Solving with roots and sign analysis20-1.RF.8 — Solve algebraically: find the roots, test the intervals, and express solutions as inequalities.
Arithmetic Sequences and Series
- Arithmetic sequences20-1.RF.9 — Derive and apply the general term tₙ = t₁ + (n − 1)d to analyze arithmetic sequences.
- Arithmetic series20-1.RF.9 — Derive and apply the sum formulas for arithmetic series to solve problems.
Geometric Sequences and Series
- Geometric sequences20-1.RF.10 — Derive and apply the general term tₙ = t₁rⁿ⁻¹ to analyze geometric sequences.
- Geometric series20-1.RF.10 — Derive and apply the sum formula for geometric series to solve problems (growth, depreciation, accumulation).
Reciprocal Functions
- Reciprocals of linear functions20-1.RF.11 — Graph y = 1/f(x) for linear f: vertical asymptotes at zeros of f, invariant points where f(x) = ±1.
- Reciprocals of quadratic functions20-1.RF.11 — Graph y = 1/f(x) for quadratic f, handling zero, one or two vertical asymptotes.
The official wording — 11 outcomes in this unit
- 20-1.RF.1
Factor polynomial expressions of the form ax² + bx + c (a ≠ 0), a²x² − b²y² (a ≠ 0, b ≠ 0), a(f(x))² + b(f(x)) + c (a ≠ 0), and a²(f(x))² − b²(g(y))² (a ≠ 0, b ≠ 0), where a, b and c are rational numbers.
- 20-1.RF.2
Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems.
- 20-1.RF.3
Analyze quadratic functions of the form y = a(x − p)² + q and determine the: vertex; domain and range; direction of opening; axis of symmetry; x- and y-intercepts.
- 20-1.RF.4
Analyze quadratic functions of the form y = ax² + bx + c to identify characteristics of the corresponding graph, including: vertex; domain and range; direction of opening; axis of symmetry; x- and y-intercepts; and to solve problems.
- 20-1.RF.5
Solve problems that involve quadratic equations.
- 20-1.RF.6
Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables.
- 20-1.RF.7
Solve problems that involve linear and quadratic inequalities in two variables.
- 20-1.RF.8
Solve problems that involve quadratic inequalities in one variable.
- 20-1.RF.9
Analyze arithmetic sequences and series to solve problems.
- 20-1.RF.10
Analyze geometric sequences and series to solve problems.
- 20-1.RF.11
Graph and analyze reciprocal functions (limited to the reciprocal of linear and quadratic functions).
Printable workbook · A keepsake of the year
A Mathematics 20-1 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 Mathematics 20-1?
Yes. MapleMind's AI tutor covers all 43 skills in Alberta's Mathematics 20-1 — 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 Alberta's official curriculum?
Yes. Every skill in this course maps to an official outcome code from Alberta'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?
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What if I'm stuck on just one topic?
That's the point of skill-level tutoring: open Mathematics 20-1 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 Alberta curriculum for Mathematics 20-1?
The official source is linked on this page — Alberta's official programs of study. 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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