Grade 12 Advanced Functions
Overview of Grade 12 Advanced Functions
York Region Tutoring also accommodates Mathematics for College Technology (MCT4C), Foundations for College Mathematics (MAP4C) and Mathematics for Work and Everyday Life (MEL4E). Please contact us for more details regarding these courses.
Grade 12 Advanced Functions math course extends students’ experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. We suggest to all parents that they obtain the TI-36x pro for their kids. It is especially useful for Grade 11 and 12 quizzes, tests and exams because it performs complex mathematics which students can exploit to check their answers. And yes, it is allowed for both High School and University quizzes/tests/exams*.
McMaster university has a standardized calculator that students MUST use. One Richmond Hill High School teacher to our knowledge does NOT permit the TI-36x pro. In its replacement, a similar calculator that is accepted is the Casio fx-115ES PLUS.
York Region Tutoring urges all students to complete the past tests that we have compiled specifically from YRDSB/YCDSB school teachers. Tests in the Grade 12 maths and sciences tend to follow a very strict layout, and so completing them will give students the opportunity to assess their strengths and weaknesses as well as direct their attention to topics that require more attention. Completing past tests also allows students to approach school evaluations with more confidence as they are familiarized with the organization of the test & general nature of questions asked. *Please note: while there are clear trends in the types of questions asked on tests, it is not guaranteed that past test questions will map perfectly onto school evaluations, since test-making is ultimately a subjective endeavor, meaning teachers can and do exercise their creative liberties when writing tests.
Sources:
https://www.dcp.edu.gov.on.ca/en/curriculum/secondary-mathematics/courses-list
Grade 12 Advanced Functions Curriculum
- Demonstrate an understanding of the relationship between exponential expressions and logarithmic expressions, evaluate logarithms, and apply the laws of logarithms to simplify numeric expressions.
- Identify and describe some key features of the graphs of logarithmic functions, make connections among the numeric, graphical, and algebraic representations of logarithmic functions, and solve related problems graphically.
- Solve exponential and simple logarithmic equations in one variable algebraically, including those in problems arising from real-world applications.
- Demonstrate an understanding of the meaning and application of radian measure.
- Make connections between trigonometric ratios and the graphical and algebraic representations of the corresponding trigonometric functions and between trigonometric functions and their reciprocals, and use these connections to solve problems.
- Solve problems involving trigonometric equations and prove trigonometric identities.
- Demonstrate an understanding of average and instantaneous rate of change, and determine, numerically and graphically, and interpret the average rate of change of a function over a given interval and the instantaneous rate of change of a function at a given point.
- Determine functions that result from the addition, subtraction, multiplication, and division of two functions and from the composition of two functions, describe some properties of the resulting functions, and solve related problems.
- Compare the characteristics of functions, and solve problems by modelling and reasoning with functions, including problems with solutions that are not accessible by standard algebraic techniques.
- Identify and describe some key features of polynomial functions, and make connections between the numeric, graphical, and algebraic representations of polynomial functions.
- Identify and describe some key features of the graphs of rational functions, and represent rational functions graphically.
- Solve problems involving polynomial and simple rational equations graphically and algebraically.
- Demonstrate an understanding of solving polynomial and simple rational inequalities.
York Region Tutoring Provides
If a student is approaching a forthcoming test, we can provide them with a previous test to be completed at home before their upcoming session. Subsequently, during their next class, just before the exam, they can review the test with their tutor. These tests are exclusively sourced from high schools in York Region and other areas in Ontario, serving as the definitive benchmark for students to assess their readiness.
York Region Tutors and are equipped with drawing tablets making collaboration simple, efficient and effective. We also offer drawing tablets at a discount for purchase to students who really take to the functionality of the product.
At the parents’ request, following each tutoring session, our tutors can assign homework tailored to address weaknesses and reinforce strengths in students. Additionally, we incorporate homework questions directly extracted from previous tests and quizzes administered by YRDSB school teachers, allowing students to familiarize themselves with potential test questions.