Mathematics 20-1
Advancing Mathematical Thinking
Mathematics 20-1 is the academic pathway that prepares students for Mathematics 30-1 and university programs requiring advanced mathematics. This course deepens students’ understanding of algebra, sequences and series, trigonometry, quadratic functions, and rational and radical expressions. Through these interconnected topics, students strengthen their analytical thinking, mathematical reasoning, and problem-solving abilities while developing the conceptual foundation necessary for success in higher-level mathematics and STEM-related fields.
Our Mathematics 20-1 program at Maple Academic Centre is designed to advance students’ mathematical understanding while cultivating confidence in complex problem-solving and analytical reasoning. We emphasize deep conceptual comprehension, logical analysis, and strategic approaches to challenging problems rather than rote memorization. Students are guided to explore algebraic relationships, interpret functions and trigonometric applications, and communicate their reasoning precisely, developing the critical skills needed for success in higher-level mathematics, STEM courses, and diploma exams.
Couse Overview
Couse Timeline
| Month | Chapters Covered | Focus |
|---|---|---|
| September |
Chapter 1: Radical Expressions & Equations Chapter 2: Rational Expressions & Equations |
Simplifying, adding, subtracting, multiplying, and dividing radicals and rational expressions. Solving radical and rational equations while identifying non-permissible values and extraneous roots. |
| October |
Chapter 3: Trigonometry Chapter 4: Factoring Polynomials |
Solving oblique (non-right) triangles using the Sine Law (including the ambiguous case) and Cosine Law. Mastering advanced polynomial factoring techniques including difference of squares, trinomials, and grouping. |
| November |
Chapter 5: Absolute Value Functions Chapter 6: Quadratic Functions Chapter 7: Linear & Quadratic Systems |
Evaluating absolute value expressions and graphing absolute value functions. Analyzing parabolas in vertex, standard, and factored forms. Solving systems of linear-quadratic and quadratic-quadratic equations algebraically and graphically. |
| December |
Chapter 8: Linear & Quadratic Inequalities Chapter 9: Sequences & Series Chapter 10: Reciprocal Functions |
Solving linear and quadratic inequalities in one and two variables. Deriving formulas for arithmetic and geometric sequences and series. Graphing reciprocal functions and identifying vertical asymptotes and invariant points. |
| January | Full Curriculum Review | Comprehensive revision across all 10 Mathematics 20-1 chapters, full mock exams, test-taking strategies, targeted review of high-weight algebraic concepts, and practice with Alberta provincial-style questions. |
Course Schedule
| Session | Program Duration | Batch 1 | Batch 2 |
|---|---|---|---|
| Fall Session |
September – January (5 Months) |
Monday & Thursday 6:30 PM – 8:00 PM |
Wednesday & Saturday 4:45 PM – 6:15 PM |
| Winter Session |
February – June (5 Months) |
Monday & Thursday 6:30 PM – 8:00 PM |
Wednesday & Saturday 4:45 PM – 6:15 PM |
Tuition Fee
| Fee Type | Amount | Details |
|---|---|---|
| Tuition Fee | $280 CAD / month | Students pay $280 CAD per month. The complete 5-month Mathematics 20-1 program totals $1,400 CAD and covers the entire syllabus, revision sessions, and exam preparation. |