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**MATHEMATICS**

The vision of the Mathematics department is to give opportunities for students to develop their mathematical skills, knowledge and competencies in the hope of developing reasoning skills that are interdisciplinary. We hope to provide a space that encourages risk-taking and views errors as opportunities for further learning, as well as a place to cultivate perseverance and tenacity. Our ultimate goal is that by doing so, students can continue to grow in the understanding and appreciation of God’s creation

**Graduation Requirements Statement**

To graduate, students need to take one Mathematics 10 course and one Mathematics course at the Grade 11 or 12 level.

##### GENERAL

##### Mathematics 9

**Prerequisite:** Mathematics 8

This course provides many of the tools needed to understand God’s creation and is a foundational course for further studies in senior mathematics. Topics include rational numbers, powers and exponents, linear relations, linear equations, polynomials, spatial proportional reasoning, financial mathematics and data analysis.

In this course, students are encouraged to strengthen their mental math skills, and to be less reliant on calculators for the units on rational numbers. Students are also encouraged to develop their math proficiency so that they are able to complete timed tests within the time frames provided. At the end of this course students are prepared for Apprenticeship and Workplace 10, and/or Foundations and Pre-Calculus 10.

**Recommendations: **

– comfortable with comparing, adding, subtracting, multiplying, and dividing fractions and decimals.

– abilities in solving one-step equations.

– capable of describing patterns using words, tables, and graphs.

– adequate mental math abilities.

##### Mathematics 9/10 Accelerated

**Prerequisite**: Mathematics 8 (at least 86%) and strong Mathematics 8 teacher recommendation

**Graduation** **Requirement**: Mathematics 10

**Description**:

This course is designed to challenge students who have been gifted in the field of Mathematics. It combines Mathematics 9 and Foundations of Math and Pre-Calculus 10 curricula in one year. It provides students with the mathematical understandings and critical thinking skills identified for post-secondary studies for both the arts and sciences. At the end of this course, students are prepared for Pre-Calculus 11.

**Recommendations**:

- Students should be proficient in mathematical operations that involve fractions and decimals.
- Students should be highly proficient in problem solving including taking take a complex, essentially non-mathematical scenario and figure out what mathematical concepts and tools are needed to make sense of it.
- Students should be highly proficient in algebra including solving multi-step equations with variables.
- Students should be proficient in solving basic arithmetic using mental math abilities.

##### FOUNDATIONS OF MATHEMATICS

##### Foundations of Mathematics 11

**Prerequisite**: Foundations of Math and Pre-Calculus 10

**Graduation** **Requirement**: Mathematics 11 or 12

**Description**:

This pathway is designed for students who pursue the Humanities in the post-secondary programs. The completion of Foundations of Mathematics 11 and 12 is necessary for entrance to university. This course 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. Topics include financial mathematics, geometry, scale models, logical reasoning, graphical analysis, quadratic functions, systems of equations, optimization and applications of statistics. At the end of this course, students are prepared for Foundations of Mathematics 12.

**Recommendations:**

- Students should be proficient in adding, subtracting, dividing, and multiplying integers, fractions, and decimals, with a calculator.
- Students should be proficient in recognizing patterns represented by numbers, shapes, and graphs.

##### Foundations of Mathematics 12

**Prerequisite:** Foundations of Math 11 or Pre-Calculus 11

**Graduation Requirement:** Mathematics 11 or 12

**Description:**

This pathway is designed for students who pursue the Arts and Humanities in the post-secondary programs. This course 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. Topics include financial planning, probability and chance, graphical analysis, logarithmic and trigonometric functions, and 3-dimensional geometry.

##### PRECALCULUS AND CALCULUS

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

**Prerequisite**: Foundations of Math and Pre-Calculus 10

**Graduation** **Requirement**: Mathematics 10

**Description**:

This course is designed to provide students with mathematical understandings and critical thinking skills identified for post-secondary studies in both the arts and the sciences. This course is based on the new BC Educational Plan. Topics include trigonometry, prime factorization, powers and exponents, arithmetic sequences, polynomials, relations and functions, linear equations and finance.

In this course, students are encouraged to strengthen their mental math skills, and to be less reliant on calculators for the units on rational numbers and polynomials. Students are also encouraged to develop their math proficiency so that they are able to complete timed tests within the time frames provided.

This course will prepare students to go into Pre-Calculus 11 or Foundations of Mathematics 11.

**Recommendations**:

- Students should be proficient in solving mathematical equations with variables.
- Students should be proficient in modelling real world situations using mathematical equations and graphing.
- Students should be highly proficient in adding, subtracting, dividing, and multiplying integers, fractions, and decimals without calculators.

##### Pre-Calculus 11

**Prerequisite**: Foundations of Math and Pre-Calculus 10 (min. 67%) and on final assessments (min. 67%)

**Graduation** **Requirement**: Mathematics 11 or 12

**Description:**

This pathway is designed for students who pursue the Mathematics, Sciences and Business subjects in the post-secondary programs. This course 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. Topics include algebra and real number system, powers with rational exponents, quadratics, radical, polynomial, rational, linear and financial literacy, and trigonometry. At the end of this course, students are prepared for Pre-Calculus 12.

**Recommendations**:

- Students should be highly proficient in polynomial operations, including adding, subtracting, multiplying, dividing, and factoring.
- Students should be proficient in graphing two variable equations.
- Students should be highly proficient in translating word problems into mathematical language.
- Students should be highly proficient in using trigonometric functions to solve questions relating to triangles.

##### Pre-Calculus 12

**Prerequisite**: Pre-Calculus 11 (min. 67%)

**Graduation** **Requirement**: Mathematics 11 or 12

**Description**:

This pathway is designed for students who pursue the Mathematics, Sciences and Business subjects in the post-secondary programs. This course 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. Topics include transformation of relations and functions (polynomial, exponential, rational and logarithms), trigonometry and geometric sequences and series.

**Recommendations:**

- Students should have an extensive understanding of algebraic operations and factoring.
- Students should be highly proficient in creative and critical thinking skills, as well as analytical skills for applying the new concepts.
- Students should have flexible and strategic approaches to solve problems.

##### Calculus 12

**Prerequisite**: Pre-Calculus 11 (min. 73%) and Grade 12 standing

**Corequisite**: Pre-Calculus 12 can be taken concurrently with teacher recommendation

**Graduation** **Requirement**: Mathematics 11 or 12

**Description**:

Calculus is the mathematical study of dynamic (changing) phenomena, and it is fundamentally different from any other mathematics course. It attempts to achieve through indirect methods what appears impossible directly. It is no less than a celebration of human ingenuity, which if perceived correctly, gives glory to God who magnanimously created us in His image. This course allows students to delve into the more complex aspects of God’s creation and the number of applications of calculus is almost limitless. This course is the introduction of Calculus for university which covers the concepts of limits, derivatives and integrals.

##### AP® Calculus AB

**Prerequisite**: Pre-Calculus 11 (at least 86%) at RCS and Grade 12 standing

**Corequisite: **Pre-Calculus 12 can be taken concurrently with teacher recommendation

**Graduation** **Requirement**: Elective

**Description**:

Calculus is the mathematical study of dynamic (changing) phenomena, and it is fundamentally different from any other mathematics course. It attempts to achieve through indirect methods what appears impossible directly. It is no less than a celebration of human ingenuity, which if perceived correctly, gives glory to God who magnanimously created us in His image. This course allows students to delve into the more complex aspects of God’s creation and the number of applications of calculus is almost limitless. An advanced Placement course in calculus consists of a full high school academic year of work that is comparable to calculus courses in colleges and universities.

**Recommendations**:

- Students should have an extensive foundation in reasoning with algebraic symbols and working with algebraic structures.
- Students should have an extensive foundation in algebra, geometry, trigonometry, analytic geometry and elementary functions such as linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric and piecewise-defined functions.
- Students should have an extensive knowledge of the properties of functions, the composition of functions and the graphs of functions

**Additional** **Information**:

There is an optional AP exam (fees apply).

##### AP® Calculus BC

**Prerequisite**: Pre-Calculus 12 (at least 86%) at RCS and Grade 12 standing

**Graduation** **Requirement**: Elective

**Description**:

Calculus is the mathematical study of dynamic (changing) phenomena, and it is fundamentally different from any other mathematics course. It attempts to achieve through indirect methods what appears impossible directly. It is no less than a celebration of human ingenuity, which if perceive correctly, gives glory to God who magnanimously created us in His image. This course allows students to delve into the more complex aspects of God’s creation and the number of applications of calculus is almost limitless. An advanced Placement course in calculus consists of a full high school academic year of work that is comparable to calculus courses in colleges and universities. Calculus BC is a full-year course in the Calculus of functions of a single variable. It includes AP Calculus AP materials “Functions, Graphs and Limits,” “Derivatives and their applications,” and “Integrals and their applications” and AP Calculus BC materials “Derivatives and Integrals of Parametrically defined equations and Polar Curve” and “Sequences and Series.”

**Recommendations**:

- Students should have an extensive foundation in reasoning with algebraic symbols and working with algebraic structures.
- Students should have an extensive foundation in algebra, geometry, trigonometry, analytic geometry and elementary functions such as linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric and piecewise-defined functions.
- Students should have an extensive knowledge of the properties of functions, the composition of functions and the graphs of functions.

**Additional** **Information**:

- This course is 2 periods long.
- There is an optional AP exam (fees apply).