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PreCalculus 12 2021-22 Course Outline Teacher: R Withers contact: rwithers@sd44.ca / 604-903-3500 or TEAMS Core Competencies: Curricular Competencies in Math: Reasoning and modeling communication Understanding and solving personal thinking Communicating and representing and social Connecting and reflecting Big Ideas for more information https://curriculum.gov.bc.ca/curriculum/mathematics/12/pre-calculus ● Using inverses is the foundation of solving equations and can be extended to relationships between functions. ● Understanding the characteristics of families of functions allows us to model and understand relationships and to build connections between classes of functions. ● Transformations of shapes extend to functions and relations in all of their representations. Textbook: Pre-Calculus 12 (McGraw-Hill Ryerson) Replacement Cost $85.00 Course Content: Transformation of Functions Review (2 classes) Radical and Polynomial Functions (8 classes) Ch. 2/3 pages 60-156 Graph and analyze radical functions, factor polynomials with a degree between 3 and 5, Graph and analyze polynomial functions (degree of 5 or less) Transformations of Relations and Functions (5 classes) Ch. 1 pages 4-59 Understanding of transformation of functions and equations (including translations, dilatations, reflections and inverses), application of transformations including absolute values and reciprocals, introduction to conics. Rational Functions and Function Operations (2 classes) Ch. 10 pages 428-513- if time permits Graph and analyze rational functions (limited to numerators and denominators that are monomials, binomials, or trinomials), understanding of composition of functions Trigonometry Trigonometry and the Unit Circle (4 classes) Ch. 4 pages 164-219 Understand angles in standard position measured in both degrees and radians, apply equation of the unit circle, solve problems using the six trigonometric ratios measured in both degrees and radians Trigonometric Functions and their Graphs (5 classes) Ch. 5 pages 220-287 Graph and analyze primary trigonometric functions, transform trigonometric functions, use trigonometric graphs to solve problems Trigonometric Identities (4 classes) Ch. 6 pages 288-324 Solve both algebraically and graphically first and second degrees trigonometric equations, knowledge of trigonometric identities, prove trigonometric identities Exponential and Logarithmic Functions Exponential Functions, Geometric Sequences and Series (7 classes) Ch. 7 pages 332-420, supplemental material Graph and analyze exponential functions, solving problems with exponential equations. Solve problems using geometric sequences and series as an application of exponential functions. Evaluate expressions that use sigma notation to represent a series. 2021-2022 Logarithmic Functions (5 classes) Ch. 7/8 pages 332-420 Understand logarithms and the laws of logarithm. Graph and analyze logarithmic functions in any base including base e, solving problems with logarithmic and exponential equations. Support for Students: Tutorials: If you are experiencing difficulty, please come to tutorials to get additional support. Tuesday- Friday 8:30-9:10 Students are expected to spend about 45-60 minutes practicing, reviewing and studying outside of math class each day. Students will be getting time to complete assignments in class each day, however they will still need to spend a significant amount of time completing assignments at home. Time spent should be productive; if they are getting frustrated, they should plan to attend morning tutorials and bring their questions to class. However, productive time can also be spent preparing study notes to review and organize the material learned, watching supplementary lessons (ask teacher for suggested sites), or working on foundational skills that might require additional practice. Assessment & Grading: Final grades will be approximately determined according to the following breakdown: Quizzes, Homework, Assignments 40% Unit Assessments 35% Final Exam 25% Policies and Expectations: Students are expected to: ● adhere to the school “Code of Conduct”, ● have a binder, lined paper, graph paper, pencil and eraser, ruler and highlighter, ● have a whiteboard marker and small cloth rag or a cotton mitt, ● have a scientific calculator every day, to be used when appropriate; a graphing calculator is recommended, ● keep cellphones/digital devices out of sight, unless specifically used for a class activity, ● notify the teacher in advance when there is a planned absence, ● take the initiative to complete missed work and assignments when absent from class Keys to success… • Come to class on time and prepared. • Stay organized. Keep all of your coursework in your binder. This will be your greatest tool when reviewing for chapter tests or assessments/evaluations. Hand in all assignments on time. • Use class time effectively. Behavior in the class should reflect a serious and responsible attitude.Time given to work on assignments in class must be used effectively. Socializing and inappropriate behavior are not acceptable. • Do your math work in pencil, not pen. Part of learning math is making mistakes, so you may need to erase them! • Ask for help when you do not understand a concept. You are encouraged to attend a tutorial session. ACKNOWLEDGEMENT “I have read and acknowledged the objectives and expectations for Math as described on the course outline provided.” Student name ____________________________________ Student signature ____________________________________ 2021-2022 Parent signature ____________________________________ 2021-2022
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