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| Mathematics |
| Graduation requirement: Geometry and Applications in Mathematics 111, 112, F.I. Geometry and Applications in Mathematics 111, 112 or Applications in Mathematics 113
Many post-secondary institutions offer programs that require additional mathematics courses. Students should consult with their math teachers and guidance counsellors as to which Grade 11 and 12 Mathematics courses they should take.
GEOMETRY AND APPLICATIONS IN MATHEMATICS 111/112 or F.I. GEOMETRY AND APPLICATIONS IN MATHEMATICS 111/112 Prerequisite: Mathematics 10 or FI Mathematics 10 It is strongly advised that students with a marginal pass in Mathematics 10 register for Applications in Mathematics 113 This one semester course covers concepts in circle geometry, Euclidean and transformational proofs, analytic geometry, combinations, permutations, and binomial expansion. An independent research project is required of each student. Text: Mathematical Modelling, Book 2 and 3, Nelson Canada
APPLICATIONS IN MATHEMATICS 113 Prerequisite: Mathematics 10 or recommendation of Mathematics Teacher This one semester course is designed for those students who have not shown an interest or aptitude for the more abstract mathematical concepts. Topics studied in this course include statistics, probability, financial mathematics and more. Text: Constructing Mathematics, Books 2 and 3, Nelson Canada
FUNCTIONS AND RELATIONS 111 / F.I. FUNCTIONS AND RELATIONS 111 Prerequisite: Geometry and Applications in Mathematics 111 or F.I. Geometry and Applications in Mathematics 111 and/or recommendation of Math Teacher This accelerated one semester course is for those students with exceptional mathematical ability coupled with a strong work ethic, who have strong interest in pursuing further topics in Mathematics. The course contains the same concepts as those covered in Math 112 Functions and Relations, but the material is covered with a greater depth and at an accelerated pace. Problem solving skills are emphasized as students are prepared to write external contests. Text: Mathematical Modelling, Books 2 and 3, Nelson Canada
FUNCTIONS AND RELATIONS 112 / F.I. FUNCTIONS AND RELATIONS 112 Prerequisite: Geometry and Applications in Mathematics 112 or FI Geometry and Applications in Mathematics 112 It is strongly advised that students with a marginal pass in Geometry and Applications in Mathematics 112 register for Patterns and Relations 113 This one semester course is for those students who plan to continue with post-secondary education that require further study in mathematics. The course includes the study of trigonometric applications, quadratic functions, rates of change and exponential expressions, logarithms, equations and other applications. Text: Mathematical Modelling, Books 2 and 3, Nelson Canada
PATTERNS AND RELATIONS 113 Prerequisite: Applications in Mathematics 113 This one semester course includes the study of trigonometric applications, patterns and sequences, quadratic and exponential relations and consumer mathematics. Text: Constructing Mathematics, Books 2 & 3, Nelson Canada
TRIGONOMETRY AND 3-SPACE 121 Prerequisite: Geometry and Applications in Mathematics 111 or FI Geometry and Applications in Mathematics 111 Can be taken at the same time as Functions and Relations 111 or Advanced Math with Calculus 120 Topics include the algebra of three dimensional space, systems of equations, matrix algebra, trigonometric definitions, functions, graphs, identities, equations and applications. Text: Mathematical Modelling, Book 2, Nelson Canada
TRIGONOMETRY AND 3-SPACE 122 Prerequisite: Geometry and Applications in Mathematics 112 or FI Geometry and Applications in Mathematics 112 Can be taken at the same time as Functions and Relations 112 with an average of 70% in Geometry and Applications in Mathematics 112 and recommendation of Mathematics Department Head Topics include the algebra of three dimensional space, systems of equations, matrix algebra, trigonometric definitions, functions, graphs, identities, equations and applications. Text: Mathematical Modelling, Book 2, Nelson Canada
ADVANCED MATHEMATICS WITH AN INTRODUCTION TO CALCULUS 120 Prerequisite: Functions and Relations 111 / F.I. Functions and Relations 111 OR Functions and Relations 112 / F.I. Functions and Relations 112 with an average of 70% This one semester course is algebra intensive and includes topics in polynomial and rational functions, equations, inequations and graphs. Additional functions and properties will be examined. Limits of functions are evaluated using a variety of techniques. Differential calculus is introduced, including the definition of the derivative of a function. As well, a few basic rules of differentiation will be derived. Text: Mathematical Modelling, Book 4, Nelson Canada
DIFFERENTIAL AND INTEGRAL CALCULUS 120 Prerequisite: Advanced Mathematics with an Introduction to Calculus 120 and Trigonometry and 3-space 121 or 122 This one semester course is designed for students who wish to take further mathematics at university or community college. It includes the following topics: advanced trigonometry, limits, slopes and rates of change, differentiation rules for sums, differences, products and quotients of functions including trigonometric, exponential and logarithmic functions, implicit differentiation, applications of derivatives such as curve sketching, optimization problems, velocity, acceleration and related rates. finally, we finish the course with a look at the Fundamental Theorem of Calculus and some integration techniques. This is a rigorous course that prepares students well for challenging programs at the university and community college level. Text: Calculus, McGraw, Hill, Ryerson AP CALCULUS 120 Prerequisite: Geometry and Applications in Mathematics 111 or F.I. Geometry and Applications in Mathematics 111, Functions and Relations 111 / F.I. Functions and Relations 111, Trigonometry and 3-space 121 and Advanced Math 120 or approval of Mathematics Department Head Advanced Placement (AP) Calculus is a full year course. The AP Calculus course covers with greater depth the same topics covered by the regular Calculus 120 course, as well as additional topics. Upon completion of the course, a student may choose to write the AP Calculus examination. Text: Calculus – Graphical, Numerical, Algebraic, Addison-Wesley
AP STATISTICS Prerequisite: Geometry and Applications in Mathematics 111 or F.I. Geometry and Applications in Mathematics 111, Functions and Relations 111 / F.I. Functions and Relations 111, Advanced Math 120 or approval of Mathematics Department Head This course follows the curriculum of a typical university introductory course in statistics. The purpose of Advanced Placement (AP) Statistics is to expose students to major concepts and tools for the collection and analysis of data. Areas of study include descriptive statistical measures, designed experiments, probability, probability distributions and densities, mathematical expectation, point and interval estimation, hypothesis testing and linear regression. Upon completion of the course, a student may choose to write the AP Statistics examination. Text: Elementary Statistics, Addison-Wesley
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