Foundations of Mathematics and Pre-Calculus 10
This course leads to the Pre-Calculus 11/12 pathway or the Foundations of Mathematics 11/12 pathway. Topics covered include Measurement (including Imperial/Metric units, surface area and volume), Basic Trigonometry, Roots and Powers (including rational and negative exponents), Polynomials (including factoring of trinomials), Relations and Functions, Linear Functions, and Systems of Linear Equations. Mathematics 9 (Canada) or Algebra I (U.S.) should be completed prior to taking this course.
The Pre-Calculus 11/12 pathway is designed to prepare students for post-secondary studies that require theoretical calculus. Pre-Calculus 11 is on a similar level to Algebra II, but covers a different mix of topics than many Algebra II courses. Topics covered include Arithmetic and Geometric Sequences and Series, Absolute Value and Radical Equations, Solving Quadratic Equations, Analyzing Quadratic Functions, Linear and Quadratic Inequalities and Systems of Equations, Trigonometry (including Sine and Cosine Laws and Standard Position in all quadrants), Rational Expressions and Equations, and Reciprocal Functions.
This course is designed to prepare students for the study of theoretical calculus in university or college. It is equivalent to the U.S. course called Pre-Calculus. Topics covered include Transformation of Functions (including radical functions), Polynomial Functions (including the Remainder Theorem and the Factor Theorem), Trigonometry (including radian measure and the unit circle), Trigonometric Functions and Graphs, Trigonometric Identities, Exponential and Logarithmic Functions, Rational Functions, Function Operations, and Permutations and Combinations (including the Binomial Theorem).
This course covers basic calculus and provides a solid introduction for students who will take calculus in college or university. Topics include Limits, Differentiation, Applications of Differentiation to Graphing Functions, Applications of Differentiation to Applied Situations, Antidifferentiation, and Applications of Antidifferentiation.
*Courses marked with an asterisk (*) are taught from time to time, subject to student interest and instructor availability.