### Courses Offered

#### MATHEMATICS 8

Prerequisite: none

In this course students will build on mathematical concepts studied in prior years and focus on conceptual understanding and numeracy. Students will explore mathematical ideas in the context of concrete ideas and experiences. Learning activities will help students move towards an understanding of more complex, abstract concepts. Course Content**:** data analysis, probability, ratios, rates, proportions, percent, the Pythagorean Relationship, surface area and volume of prisms and cylinders, operations on fractions and integers, linear relations, equations, and tessellations.

#### ACCELERATED MATHEMATICS FOR GRADE 8 STUDENTS

Students who have strong work habits and ability in mathematics and wish to accelerate their study at WGSS have the option of enrolling directly in Mathematics 9 in their Grade 8 year. Acceleration allows students to complete Grade 12 level mathematics in their Grade 11 year, and then take AP Calculus in their final year of high school. This option is ideal for students considering a mathematics/science program.

Requirements for acceleration**:** Students are permitted to accelerate based on performance on the WGSS Mathematics 8 Challenge Exam and Grade 7 teacher recommendation.

The exam will be held at WGSS in March. Please see the Accelerated Math Application Information for more information. The final determination of student placement in Mathematics 9 resides with the Administration.

#### MATHEMATICS 9 (MMA--09)

Prerequisite: Mathematics 8

Students will extend many of the topics and ideas studied in Mathematics 8. Students will continue a contextual approach in the investigation of mathematical concepts and work towards conceptual understanding and numeracy. Learning activities will continue to help students proceed from simple, concrete ideas to more abstract, complex concepts. This course prepares students for both grade 10 level mathematics courses. Course content**: **scale factors and similarity, surface area, rational numbers, powers and exponents, polynomials, linear relations, equations, data analysis, and probability.

__CHOICES IN MATHEMATICS STARTING IN GRADE 10:__

There are several options for math courses starting at the Grade 10 level. Each pathway is designed to provide students with the mathematical understandings, rigor and critical-thinking skills that have been identified for specific post-secondary programs of study and for direct entry into the work force.

The different courses are intended to allow students to focus and specialize on mathematical topics and skills that match their abilities, interests, and future education and career plans. For more information about courses and choices, see a counsellor or math teacher, or visit the Ministry of Education website at https://curriculum.gov.bc.ca/curriculum/mathematics*.*

Just as biology, chemistry, and physics are different courses with different content, the math courses at each grade level contain __different content and concepts__, rather than representing different ‘levels’ of the same content. As such, students may choose to select __more than one math course__ if they desire. For example, a student might choose to take both Foundations and Precalculus starting in Grade 11 to gain a broad mathematical background.

__Post-Secondary Requirements:__ mathematics requirements vary for specific institutions and post-secondary programs. **Students are encouraged to check specific mathematics requirements by consulting** calendars and websites for specific institutions, a WGSS counsellor, or the ‘Education Planner’ website: *http://www.educationplanner.ca*

### 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.

#### WORKPLACE MATHEMATICS 10 (MWMP-10)

Prerequisite: Mathematics 9

Topics in the course include algebra and number: proportional reasoning including unit pricing, formula manipulation and application; financial mathematics: types of income; geometry: spatial puzzles and games, Pythagorean Theorem, similarity of convex polygons; measurement: SI and imperial units and conversions, linear, area, volume, capacity, mass, and temperature; trigonometry: right-angle triangle trigonometry.

#### WORKPLACE MATHEMATICS 11 (MWMP-11)

Prerequisite: Workplace Mathematics 10 or permission of instructor

Topics in this course include algebra and number: proportional reasoning including unit analysis, formula manipulation and application, numerical puzzles and games; financial mathematics: personal budgets, compound interest, financial services including credit cards and loans; geometry: two and three right triangle problems, scale representation of 3D objects, exploded views and component parts of 3D objects; measurement: surface area, volume and capacity in SI and imperial units; relations and functions: slope; statistics: bar graphs, histograms, line graphs and circle graphs; trigonometry: Cosine Law and Sine Law excluding the ambiguous case.

### 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.

#### FOUNDATIONS AND PRE-CALCULUS MATH 10 (MFMP-10)

Prerequisite: Mathematics 9 with a recommended minimum mark of C+ (or Proficient/Extending)

Topics in the course include Algebra and Number: factors of whole numbers, irrational numbers, powers with integral and rational exponents, multiplication of polynomial expressions, common and trinomial factors, finance; relations and functions: relationship between data, graphs and situations, slope linear relations and characteristics of their graphs, function notation, systems of linear equations; Trigonometry: right-angle triangle trigonometry.

#### FOUNDATIONS OF MATHEMATICS 11 (MFOM-11)

Prerequisite: Foundations & Pre-Calculus Math 10

Topics in this course include Algebra and Number: application of rates, finance; Geometry: scale factors, areas, surface area, and volume, proofs for the properties of angles and triangles, spatial puzzles and games; Logic: inductive and deductive reasoning; Relations and Functions: systems of linear inequalities in two variables, quadratic functions; Mathematics Research: research on historical event or area of interest involving mathematics; Statistics: normal distribution, standard deviation, and z-scores, confidence intervals, confidence levels, and margin of error.

#### FOUNDATIONS OF MATHEMATICS 12 (MFOM-12)

Prerequisite: Foundations of Mathematics 11 or Pre-calculus 11

Topics in this course include Finance: compound interest and financial decision making, analysis of buying, leasing, and renting, analyze an investment portfolio in terms of interest rate, rate of return, and total return; Logic: analysis of puzzles and games involving logical reasoning, application of set theory, conditional statements; Probability: interpret and assess the validity of odds and probability statements, mutually exclusive events, combined events, fundamental counting principle, permutations and combinations; Relations and Functions: polynomial functions and regression, exponential and logarithmic functions and regression, sinusoidal functions and regression; Mathematics Research: research on historical event or area of interest involving mathematics. This course is on the list for academically approved Grade 12 courses for admission to __most__ post-secondary institutions.

### 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 study of Calculus is part of post-secondary programs in fields such as science, engineering, mathematics, and business. Note that the precalculus math courses involve highly theoretical, abstract concepts. **A high grade in Foundations of Mathematics and Pre-Calculus 10 is strongly recommended to enroll in Precalculus 11.**

NOTE: Students going into grade 11 who are intending the take AP Calculus 12 in your grade 12 year but have NOT already been accelerated and completed Pre-Calculus 11… it is best if you take BOTH Pre-Calculus 11 AND Pre-Calculus 12 in your grade 11 year. These will be scheduled such that Pre-Calculus 11 is in semester 1 and Pre-Calculus 12 in semester 2.

#### PRECALCULUS 11 (MPREC11)

Prerequisite: Foundations of Mathematics 10 with a recommended minimum mark of 70%

Topics in this course include algebra and number: absolute value, radicals, radical expressions & equations, rational expressions and equations; relations and functions: polynomial factoring, absolute value functions, quadratic functions, linear-quadratic and quadratic-quadratic systems, one-variable quadratic inequalities, two-variable linear and quadratic inequalities, arithmetic sequences & series, geometric sequences & series, reciprocal functions; trigonometry: angles and trigonometric ratios for angles from 0° to 360° in standard position, Cosine Law and Sine Law including ambiguous case.

#### PRECALCULUS 12 (MPREC12)

Prerequisite: Precalculus 11 with a recommended minimum mark of 73%

Topics in this course include trigonometry: radian measure of angles, primary and reciprocal trigonometric ratios, unit circle, primary trigonometric functions and transformations, solving linear and quadratic trigonometric equations, trigonometric identities including reciprocal, quotient, Pythagorean, sum and difference, and double-angle; relations and functions: operations on, and composition of functions, transformations of functions and relations, including translations, reflections, expansions/compressions, and inverses, exponential functions and equations, logarithmic functions and equations, laws of logarithms, polynomial functions and equations, factoring of polynomials, radical functions, rational functions; combinatorics & probability: fundamental counting principle, permutations and combinations, binomial expansion theorem. This course is an academically approved Grade 12 course for post-secondary admission.

### Advanced Placement Courses

#### AP STATISTICS 12 (ASTA-12)

Prerequisite: Pre-calculus 11 with a recommended minimum mark of 73%

In today’s ‘age of information’ we are bombarded with data and statistics all the time. Most people will encounter and use statistics in their lives far more often than they will use algebra, calculus, and other branches of mathematics. Experts in the fields of science, business, social science, medicine, and many others regularly conduct research and use statistics to make effective ‘data-driven’ decisions. The AP Statistics course is equivalent to a university-level, one-semester introductory, non-calculus-based course in statistics. Students are introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students will use technology, investigations, problem solving, and writing as they build conceptual understanding of these four broad themes. Students will have the option to write the AP Statistics exam in May (approximate fee is $135). If a student scores a 4 or 5 on the exam, they have the option to receive credit for a first-year university course. All AP courses are academically approved Grade 12 courses for post-secondary admissions.

#### AP CALCULUS 12 AB (ACAL-12)

Prerequisite: Pre-calculus 12.

The AP Calculus (AB) course is intended for students who are planning to enter a university or college program requiring a Calculus course and would like to do some preliminary study of the subject – the content of this course is equivalent to approximately 70% of that of a first-year university-level Calculus course. In this course students will use a combination of graphical, numerical, and algebraic approaches to investigate, analyze, and apply the broad topics of functions, limits, derivatives, and integrals. There will be a strong focus on conceptual understanding, applications, and problem solving.

Students who successfully complete this course will find themselves very well prepared for any first year, university level Calculus course. Calculus 12 is a requirement for entry into some university programs, AP Calculus 12 AB will meet this requirement.

Students will have the option to write the AP Calculus exam in May (approximate fee is $135). If a student scores a 4 or 5 on the exam, they have the option to receive credit for a first-year university course. All AP courses are academically approved Grade 12 courses for post-secondary admissions

### Other Math Options

#### COMPUTER SCIENCE (12) - CODING (MMACS12)

Prerequisite: Grade 11/12 or permission of instructor.

Computer Science 12 is the perfect course for students interested in a career in computer science. It is also an excellent complement for anyone planning to enter sciences or math at a post-secondary institution. Knowing how to code is becoming key skill for data manipulation in all sciences.

Computer Science 12 teaches students how to use code to solve real-world problems. Using Python, students learn the fundamentals of data types and structures, conditional statements, multidimensional arrays, and modularizing code using functions. Students are also introduced to a variety of algorithms to sort and search data and solve problems recursively, such as the Fibonacci sequence or factorials. In addition, students apply their programming knowledge to search for data on websites, collect and display data using APIs and GUIs, and to code games such as Tic-Tac-Toe and develop simulations such as Conway’s Game of Life.