Grade 11 Math
Overview of Grade 11 Math
Grade 11 Functions, University (MCR3U)
York Region Tutoring enrolls more students in tutoring for Grade 11 than for any other subject. In this course, students investigate properties of discrete and continuous functions, including rational, quadratic, trigonometric and exponential functions. Further, students are expected to demonstrate proficiency in determining and analyzing inverse functions as well as equivalent algebraic expressions. We suggest to all parents that they obtain the TI-36x pro for their children. It is especially useful for Grade 11 Math and Grade 12 Math quizzes, tests and exams because it performs complex arithmetic which students can use 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.
Students tend to experience difficulty in certain key aspects of each Math unit. With regards to rational expressions, we answer all student questions and concerns while giving them fail-safe tools for simplifying expressions and stating restrictions.
In the Quadratics unit, we supplement homework and assignment tutoring with a very short, but critical lesson in placing transformations into 2 distinct categories, thereby easing the process of mapping & graphing transformed functions.
Trigonometry is sometimes the most difficult unit for students because it involves representing abstract trigonometric ratios graphically and as unit circles. The issue here is that there are many ways to represent the same concept, which can spur confusion as students often view them as distinct and disconnected ideas. Our tutoring connects the ideas so that those ideas connect with the student.
Grade 11 Functions and Applications, University/College Preparation (MCF3M)
Grade 11 Functions and Applications builds on students’ knowledge of quadratic relationships to introduce the fundamental aspects of functions. It emphasizes quadratic, trigonometric, and exponential functions, focusing on their application in real-world scenarios. Students will learn to represent functions numerically, graphically, and algebraically; simplify expressions; solve equations; and tackle application-based problems. Throughout the course, students will develop their mathematical reasoning and communication skills while solving complex problems. Prerequisite: Principles of Mathematics, Grade 10, Academic, or Foundations of Mathematics, Grade 10, Applied.
Grade 11 Foundations for College Mathematics, College Preparation (MBF3C)
Grade 11 Foundations for College Math allows students to deepen their understanding of mathematics as a practical problem-solving tool in everyday life. Students will expand their knowledge of quadratic relationships, explore exponential growth scenarios, and address problems related to compound interest. They will tackle financial issues associated with vehicle ownership and enhance their reasoning skills by collecting, analyzing, and evaluating single-variable data. The course also connects probability and statistics and involves solving geometric and trigonometric problems. Throughout, students will refine their mathematical abilities by solving problems and articulating their thought processes. Prerequisite: Foundations of Mathematics, Grade 10, Applied.
Grade 11 Mathematics for Work and Everyday Life, Workplace (MEL3E)
Grade 11 Mathematics for Work and Everyday Life enables students to broaden their understanding of mathematics as it is applied in the workplace and daily life. Students will solve problems associated with earning money, paying taxes, and making purchases; apply calculations of simple and compound interest in saving, investing, and borrowing; and calculate the costs of transportation and travel in a variety of situations. Students will consolidate mathematical skills as they solve problems and communicate their thinking.
Sources: https://www.dcp.edu.gov.on.ca/en/curriculum/secondary-mathematics/courses-list
Grade 11 Math Functions University Curriculum (Academic)
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Demonstrate an understanding of functions, their representations, and their inverses, and make connections between the algebraic and graphical representations of functions using transformations.
- Determine the zeros and the maximum or minimum of a quadratic function, and solve problems involving quadratic functions, including problems arising from real-world applications.
- Demonstrate an understanding of equivalence as it relates to simplifying polynomial, radical, and rational expressions.
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Evaluate powers with rational exponents, simplify expressions containing exponents, and describe properties of exponential functions represented in a variety of ways.
- Make connections between the numeric, graphical, and algebraic representations of exponential functions.
- Identify and represent exponential functions, and solve problems involving exponential functions, including problems arising from real-world applications.
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Demonstrate an understanding of recursive sequences, represent recursive sequences in a variety of ways, and make connections to Pascal’s triangle.
- Demonstrate an understanding of the relationships involved in arithmetic and geometric sequences and series, and solve related problems.
- Make connections between sequences, series, and financial applications, and solve problems involving compound interest and ordinary annuities.
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Determine the values of the trigonometric ratios for angles less than 360º; prove simple trigonometric identities; and solve problems using the primary trigonometric ratios, the sine law, and the cosine law.
- Demonstrate an understanding of periodic relationships and sinusoidal functions, and make connections between the numeric, graphical, and algebraic representations of sinusoidal functions.
- Identify and represent sinusoidal functions, and solve problems involving sinusoidal functions, including problems arising from real-world applications.
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.