Considerations when selecting Math courses in grades 10 – 12:

- Math 11 and 21 are modified courses which are designed for students who struggle with Math.
- There are three pathways for students who do not require modified Math courses: Workplace and Apprenticeship Mathematics, Foundations of Mathematics and Pre‑Calculus. There is no hierarchy among the three pathways. They are different types of mathematics for different purposes. Students choose the appropriate math pathway(s) based on what best meets their interests and needs after high school.
- Apprenticeship and Workplace Mathematics – This pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for entry into the majority of trades and for direct entry into the work force.
- Foundations of Mathematics – This pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for post-secondary studies in programs that do not require the study of theoretical calculus.
- Pre-calculus – This pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for entry into post-secondary programs that require the study of theoretical calculus.
- The Ministry of Education and Regina Public Schools recommend that Grade 10 students take both Workplace and Apprenticeship Mathematics 10 and the Common Course for Foundations of Mathematics and Pre‑Calculus 10. This will allow students to identify the math pathway that is most suitable for them, as well as allow students to complete any single pathway in one year.
- Students may receive credits for more than one math courses at any grade level (except Math 11 and 21). Most students select two pathways so that they develop a wider skill set and study math in both semesters.
- While only a 20-level math course is required for graduation, most students complete a 30-level Math course.

**Math 11**

Math 11 is a modified course designed for students who struggle with math. Students should receive a recommendation from their math teacher in order to register for Math 11. This course includes many of the same topics as Math 10 but in less depth. Students who successfully complete Math 11 will proceed to Math 21.

**Math 21**

Prerequisite: Math 11

Math 21 is a modified course designed for students who struggle with math. Students should receive a recommendation from their math teacher in order to register for Math 21. This course includes many of the same topics as Math 20 but in less depth. Students who successfully complete Math 21 have met the minimum graduation requirement for math. In order to take further math courses, the student would have to register in Apprenticeship and Workplace Mathematics 10 or Foundations of Mathematics and Pre‑Calculus 10.

**Workplace and Apprenticeship Mathematics 10**

Prerequisite: Math 9

The topics include units of measure, spatial thinking, Pythagorean Theorem, polygons and similarity, trigonometry, parallel and perpendicular lines, geometric constructions, proportional reasoning, income and formula manipulation. Students who successfully complete Workplace and Apprenticeship Mathematics 10 may proceed to Workplace and Apprenticeship Mathematics 20.

**Foundations of Mathematics and Pre-Calculus 10**

Prerequisite: Math 9

The topics include units of measure, trigonometry, irrational numbers and exponents, factoring, relations and linear functions, and systems of linear equations. Students who successfully complete Common Course for Foundations of Mathematics and Pre‑Calculus 10 may proceed to Foundations of Mathematics 20 and/or Pre‑Calculus20.

**Workplace and Apprenticeship Mathematics 20**

Prerequisite: Workplace and Apprenticeship Mathematics 10

The topics include slope and rates of change; graphical representations; measurement; right triangle trigonometry; scale representations, financial services; and personal budgets. Students who successfully complete Workplace and Apprenticeship Mathematics 20 have met the minimum graduation requirement for Math and may choose to proceed to Workplace and Apprenticeship Mathematics 30.

**Foundations of Mathematics 20**

Prerequisite: Foundations of Mathematics and Pre‑Calculus 10

The topics include inductive and deductive reasoning; properties of angles and triangles; triangle trigonometry; statistical reasoning; systems of linear inequalities; quadratic functions and equations; and proportional reasoning. Students who successfully complete Foundations of Mathematics 20 have met the minimum graduation requirement for Math and may choose to proceed to Foundations of Mathematics 30.

**Pre-Calculus20**

Prerequisite: Foundations of Mathematics and Pre‑Calculus 10

The topics include sequences and series; trigonometry; quadratic functions and equations; radical expressions and equations; rational expressions and equations; absolute value and reciprocal functions; systems of equations; and linear and quadratic inequalities. Students who successfully complete Pre-Calculus 20 have met the minimum graduation requirement for Math and may choose to proceed to Pre-Calculus 30.

**Workplace and Apprenticeship Mathematics 30**

Prerequisite: Workplace and Apprenticeship Mathematics 20

The topics include linear relations; limits to measurement; statistics; probability and odds; properties of geometric figures; transformations; trigonometry; and owning a small business.

**Foundations of Mathematics 30**

Prerequisite: Foundations of Mathematics 20

The topics include financial mathematics; set theory and logic; counting methods; probability; polynomial functions; exponential and logarithmic functions; and sinusoidal functions.

**Pre-Calculus 30**

Prerequisite: Pre-Calculus 20

Pre-Calculus 30 is a rigorous math course intended for students who will pursue post-secondary studies involving higher level mathematics and/or science. The topics include function transformations; radical, polynomial, rational, exponential, and logarithmic functions; the unit circle and trigonometric functions; function operations; and permutations, combinations and the Binomial Theorem. Students who successfully complete Pre-Calculus 30 may choose to proceed to Calculus 30.

**Calculus 30**

Prerequisite: Pre-Calculus 30 or Math C30

The topics include limits; derivatives and applications; curve sketching, area under curves, and integrals. This course is recommended for students who plan to take first-year Calculus at university.

**SUMMARY OF THE MATHEMATICS PATHWAYS**