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# Mathematics

THE GOALS OF ALL THREE PATHWAYS are to provide prerequisite attitudes, knowledge, skills and understandings for specific post-secondary programs or direct entry into the work-force. All three pathways provide students with mathematical understandings and critical thinking skills. It is the choice of topics through which those understandings and skills are developed that varies among pathways. When choosing an appropriate pathway, students should consider their interests, long-term career plans, academic qualifications needed, as well as appropriateness to their current levels of aptitude in mathematics. Math department teachers and counsellors are always ready to advise students on course selection if need be. It is also recommended that students and parents research the admission requirements for post-secondary programs of study as they vary by institution and by year.

#### A CLOSER LOOK – APPRENTICESHIP AND WORKPLACE MATHEMATICS

This pathway is designed to provide students with mathematical understandings and critical-thinking skills identified for entry into the majority of trades and for direct entry into the work-force. Topics include algebra, geometry, measurement, number, statistics and probability.

#### 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. Topics include financial mathematics, geometry, measurement, number, logical reasoning, relations and functions, statistics and probability.

#### PRE-CALCULUS

This pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for post-secondary studies in programs that require the study of theoretical calculus. Topics include algebra and number, measurement, relations and functions, trigonometry permutations, combinations and binomial theorem.

#### MATHEMATICS 9

A scientific calculator is essential for success. Topics covered in this course include number concepts and operations, factoring polynomials, solving equations and word problems, trigonometry, measurement and geometry.

#### APPRENTICESHIP & WORKPLACE MATH 10

Recommendation: Math 9 Teacher recommendation

A scientific calculator (with fraction key) is required. Topics covered in this course include measurement conversions, 2D and 3D measurements, similarity, trigonometry, angle geometry and constructions, consumer decisions, wages and the algebraic manipulations of formulas.

#### FOUNDATIONS & PRE-CALCULUS MATH 10

Recommendation: At least a C+ in Math 9 OR teacher recommendation

A scientific calculator is required for success. Topics covered in this course include 2D – 3D measurement, trigonometric ratios, number sense, exponent rules, polynomial operations, factoring, relations and functions, coordinate geometry, solving systems of linear equations.

#### APPRENTICESHIP & WORKPLACE MATH 11

Prerequisite: Any Math 10 course

Recommendation: Math 10 Teacher recommendation

This practical course meets the mathematics requirements for graduation. Topics of study include relations and formulas, slope, income and debit, graph analysis and interpretation, measurement, technology, trigonometry. Check with your counsellor to see if this course will meet your post-secondary entrance requirements.

#### FOUNDATIONS OF MATH 11

Prerequisite: Foundations & Pre-Calculus Math 10

Recommendation: Math 10 Teacher recommendation

This is an academic course that expands on some of the topics studied in Foundations & Pre-Calculus 10. Topics include systems of equations and quadratic functions, logical reasoning, statistics spatial, and angle geometry. Check with your counsellor to see if this course will meet your post-secondary entrance requirements.

#### PRE-CALCULUS MATH 11

Prerequisite: Foundations & Pre-Calculus Math 10

Recommendation: At least a C+ in Foundations & Pre-Calculus Math 10 or Math 10 Teacher recommendation

This course is designed for students who require a strong mathematical background for future studies in the fields of science, engineering, electronics, computer studies, economics and some business courses. Topics of study include Absolute value, radical and rational equations and expressions, poly-nominal and non poly-nominal functions, sequences and series and trigonometry. Check with your counsellor to see if this course will meet your post-secondary entrance requirements.

Graphing calculators (TI-83) are required and will be used extensively throughout the course.

#### PRE-CALCULUS MATH 12

Prerequisite: Pre-Calculus Math 11

Recommendation: At least a B in Pre-Calculus Math 11OR teacher recommendation

Topics covered included geometric series and sequences, transformations, exponents and logarithms, combinatorics and trigonometry. Graphing calculators (TI-83) are required and will be used extensively throughout the course.

#### CALCULUS 12

Prerequisite: Pre-Calculus Math 12

Recommendation: At least a B in Pre-Calculus Math 12 OR teacher recommendation

Calculus gives grade 12 students, who are proficient in Algebra, the opportunity to advance their knowledge of mathematics and smooth the transition between secondary school mathematics and university calculus. Calculus 12 is intended for students who have above average skills in algebra, geometry, trigonometry, and analytic geometry. The course consists of college-level treatment of elementary functions, limits, differential calculus, integral calculus, and simple differential equations. This is a semestered course.

#### ADVANCED PLACEMENT CALCULUS 12

Prerequisite: Pre-Calculus Math 11

Recommendation: At least an A in Pre-Calculus Math 11 OR teacher recommendation

This is a linear course covering Pre-Calculus Math 12 and AP Calculus AB. AP Calculus allows students to take a university-level course while still in high school and receive advanced placement credit upon entering university or college. This course is intended for students who have a thorough knowledge of pre-calculus topics and are ready for the challenge and enrichment of an Advanced Placement course. AP Calculus consists of a full year of work in elementary and transcendental functions, differential and integral calculus with application. These students will write the College Board AP exam in order to course credit, and potentially university credit.