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