MCR3U Course Grade 11 Functions Course and Tutoring

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Welcome to Queen Elizabeth Academy, providing MCR3U Course - Grade 11 Functions Course and Tutoring, for you to excel at grade 11 Functions. Our course instructors and tutors have deep experience in MCR3U course / functions, for you to understand the concepts and be able to tackle application / thinking problems, which many students lose their marks.

MCR3U Course - Functions Grade 11

MCR3U Grade 11 Functions Mathematics is a foundation course for grade 11. It is a significant jump from grade 10, in that a lot of new concepts are introduced with focus on problem solving and application questions. Many students who have weak foundation from grade 10, such as quadratics will find this course very difficult. We help fill up foundation gaps and teach you concepts and problems in a way you understand.

Nikki V.
Math Teacher
Certified Teacher. Master degree in Education. Nikki has been QEA math teacher for 6 years and have over 1,000+ hours of teaching experience.
Pre-Requisite:
Principles of Mathematics, Grade 10, Academic
Grade:
11 (University)
Ministry of Education:
Mathematics
Curriculum Format:

A. In Person lesson 110 hours (credit granted)

B. Online live lesson 110 hours (credit granted)

C. Tutoring (non credit)

Queen Elizabeth Academy offers MCR3U Grade 11 Functions course as an online course or in person (subject to space availability). Our MCR3U Grade 11 Functions online course runs the same as in person, with a small class settings (maximum 9 students) where our students will have a full interactive experience with our teachers. This includes teaching the foundational skills, the concepts step by step in an easy to understand manner, and going over problems, especially the application and thinking problems.

Thank you QE - for the Foundation

Emily H.

admitted to

Queen's Commerce

Jivan K.

admitted to

Waterloo Engineering

Stephanie L.

admitted to

Queen's Commerce

Andrew G.

admitted to

Western Engineering

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Private MCR3U Course - Grade 11 Functions

In Person, Classroom Lectures (Credit Course)
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Experience our Online Live Teaching (Credit Course)
Physics 11 online live
Experience our online live teaching that is fully interactive. Our students participate and clarify their understanding, rather than sitting passively watching a screen.
Calculus class online live
Experience our online live teaching where our teachers explain complicated concepts in an easy to understand, step by step manner. We facilitate understanding of the student, not memorizing.

Benefit to Students - MCR3U Course

1. Small Class Sizes

To maintain the quality of our lessons, class size is limited to a max of 9 students, giving students the opportunity to ask questions throughout an ongoing lecture.

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2. Step by Step Explanations

Our focus is to build step by step on the students’ understanding of the materials. We turn complex concepts into simpler steps for our students to absorb and understand.

 
 
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3. Building Foundations:

For our students who are applying to universities, building a better foundational knowledge is key to success.

 
4. One on One Attention:

We structure a work period in each of our lessons that our teachers walk around and help each student one by one. In our online live class, each student will get a ‘slice’ of time, where our teacher will enter their virtual room, to work with them one by one. This will help clarify any misunderstanding immediately.

Success Stories
Congratulations to our students who were admitted to their top choice university (Queens, Wilfred Laurier, McGill etc.).  Our students obtained scholarships from $2,000 to $23,000
Jeff R. Queen’s Commerce
Paul M. Queen’s Engineering
Melissa W. Western Ivey
Taylor W. Western Medical Science
Josh M. OCAD
Miranda D. Wilfred Laurier BBA (Co-op)
Colin H. Queen’s Commerce
Stephanie L. Queen’s Commerce
Jeremy R. Western Ivey
Robbie M. Wilfrid Laurier BBA (Co-op)
Eric M. Wilfrid Laurier BBA (Co-op)
Jiv S. Wilfrid Laurier BBA (Coop)
Vivian T. U of T Rotman
Stacy L. Western Engineering
Laura P. Western Medical Science
David P. U of T Rotman
Britney R. Wilfred Laurier BBA (Co-op)
Monika S. Western Health Science
Lisa V. U of T Architecture
Katie F. McGill Arts
  And more...

Success Stories

Success Stories

Congratulations to Stephanie L., who ranked Top 15 in Canada selected by University Hub.

mcr3u course 66
Congratulations to our students who were admitted to their top choice university (Queens, Wilfred Laurier, McGill etc.).  Our students obtained scholarships from $2,000 to $23,000
Jeff R. Queen’s Commerce
Paul M. Queen’s Engineering
Melissa W. Western Ivey
Taylor W. Western Medical Science
Josh M. OCAD
Miranda D. Wilfred Laurier BBA (Co-op)
Colin H. Queen’s Commerce
Stephanie L. Queen’s Commerce
Jeremy R. Western Ivey
Robbie M. Wilfrid Laurier BBA (Co-op)
Eric M. Wilfrid Laurier BBA (Co-op)
Jiv S. Wilfrid Laurier BBA (Coop)
Vivian T. U of T Rotman
Stacy L. Western Engineering
Laura P. Western Medical Science
David P. U of T Rotman
Britney R. Wilfred Laurier BBA (Co-op)
  And more...
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Jerry T.
Admitted to Queen’s Commerce
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Taylor W.
Admitted to Western Medical Science
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Sam A.
Admitted to Queen’s Science Honours

Our Math tutor can help you to achieve success in your Math courses

Success of QEA alumni

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Mark J.
Investment banking analyst
Canaccord Genuity
Graduate of Western Ivey
QEA student alumni
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Dr. T. Ward-able
Family Physician
Graduate of Western University
QEA student alumni
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Stephanie L.
Microsoft Manager
Graduate of Queen’s Commerce
QEA student alumni
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Dilina L.
Corporate Lawyer
Graduate Queen's Law School
QEA student alumni
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Julia S.
Business Dev. associate
Fidelity Investments
Graduate of Western University
QEA student alumni
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Justin C.
Master degree candidate
UC Berkeley
Data analyst, Citigroup
Graduate of Boston University
QEA student alumni
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Sam A.
MD Candidate
University of Queensland
Graduate of Queen’s University
QEA student alumni
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Meet our Teachers MCR3U Course

Meet our Teachers for Summer MCR3U Course

Nikki V.
Math Teacher
Certified Teacher. Master degree in Education. Nikki has been QEA math teacher for 6 years and have over 1,000+ hours of teaching experience.
Kosal C.
Master candidate, Mathematics York University QEA Math Tutor
Dev D.
QEA Biology and Chemistry Teacher
Dev is graduated with a science degree at York University, currently enrolled in dental school. Dev has been working with QEA for 4 years.
Chris L.
QEA Physics Teacher
Chris is our physics tutor, explaining his approach in teaching physics. Chris is going to John Hopkins University this fall studying PhD in Physics
Amjad M.
Calculus Teacher
Graduate with Master degree of Mathematics University of Toronto. Employed by U of T to teach calculus tutorial as TA.

QEA Summer School - MCR3U Course - In Action!

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Thank you Queen Elizabeth Academy!

Students from MCR3U Grade 11 Functions and other courses

Yohan B.
Wilfrid Laurier BBA
Emily H.
Queen's Commerce
Mark J.
Western Ivey
Stephanie L.
Queen’s Commerce
Jivan K.
Waterloo Engineering
Andrew G.
Western Engineering
Paige M.
Admitted to Queen’s University student alumni of QEA enrolled in QEA English 12 private credit course
Kristen C.
Admitted to University of Waterloo student alumni of QEA enrolled in QEA English 12 private credit course
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Queen Elizabeth Academy | Private Credit Courses
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Course Description

Summer MCR3U Course

Summer MCR3U Course | Functions Private Credit Course Overview

MCR3U Grade 11 Functions is one of the most important Math courses in grade 11 for university admission

MCR3U Course - Grade 11 Functions - Course Description

This course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic relations. Students will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving applications of functions; investigate inverse functions; and develop facility in determining equivalent algebraic expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

What is taking MCR3U Course like?

In preparing for grade 11 Mathematics, students must have a solid grasp of Grade 11 Mathematics. Although, what we see is that students at this stage are often faced with the difficult choice of choosing between the Mixed level course and the Academic level course. From experience, we advise students to stick with the Grade 11 Academic Math, as it is a more flexible option. However, the challenge with most students is that the course requires a bit more work. But it also creates multiple opportunities for university programs to pick from, typically ranging from engineering to business courses. So, unless a student is absolutely sure of the path he/she wishes to take after high school, they should stick with a flexible option.

Grade 11 Math has several difficult units, including exponents, transformation, trigonometry graphing, and trigonometry identities. This is also the first time they'll encounter proofs. The simpler units include Quadratics, series, and sequences, which are mostly a review of grade 10 topics.

Tips to succeed in MCR3U Course

It's advisable to build strong foundational skills in grade 10 before taking this course. Factoring (especially trinomials), fractions (grade 8-9 level), Linear systems, and quadratics are the critical skills at this stage. Additionally, students will need a good understanding of domain and range, x and y intercepts, and asymptotes to excel in this course. It is always easier to keep pace with all lessons and coursework in this course once the student has mastered the foundational skills.

The thing about grade 11 questions is that they involve multiple steps. To ensure an easy flow, you must understand the logic and concept behind each step you take, and then pinpoint why you`re taking those steps. In other words, “what am I trying to solve?” Work through the steps again after you have done this. This is essentially how you demystify mathematical problems.

MCR3U Course FAQ

What is the MCR3U course?

The MCR3U course is a Grade 11 Mathematics course in the Ontario curriculum, focusing on functions, algebra, and trigonometry.

What are the prerequisites for taking MCR3U?

Prerequisites for the MCR3U course typically include successful completion of Grade 10 Mathematics courses, such as MPM2D or MFM2P.

What topics are covered in the MCR3U curriculum?

The MCR3U curriculum covers a variety of topics, including functions, algebraic skills, trigonometry, analytic geometry, and financial mathematics.

Is MCR3U a mandatory course for graduation?

In many educational jurisdictions, MCR3U (or its equivalent) is a mandatory course for high school graduation, fulfilling mathematics requirements.

UniversityAdmission Tips

Admission Requirements Summary
Admission Requirements Summary. Major university programs. (Grade cut off, Admission essay etc.)
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How to Get into theTop Universities?
How I got into my top choice universities?
by QEA student alumni
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Jeremy R.
Admitted to Western Ivey School of Business former QEA student

Early on in high school, I knew I wanted to apply to the top business schools in Canada, which led me to focus my attention on getting accepted to both the Western and Queen’s business programs. QE has given me significant support in my academic well-being as well as giving advice on ... [to be continued]

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Colin H.
Admitted toQueen’s Commerceformer QEA student

In grade 11, managing your time is critical. You need to allocate your limited resources (i.e. your time) on what matters most. This principle applies to various tasks from focusing your energy on the most important subjects, to scoring the test questions you know first, to focusing on one or two job experiences or extracurricular activities that make you stand out....[to be continued]

Tips on University Application Essays
Western Ivey School of Business (AEO) application essay
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by Jeremy R.
admitted to Western Ivey School of Business (AEO) QEA student alumni

Attaining AEO status to the Western Ivey School of Business is not an easy task. However, with the right approach and execution, getting into this competitive program can certainly be done.

Aside from having strong academics, the main aspect the staff evaluating your application will look for is extra-curricular involvement. Simply put, they want to see. [...to be continued]

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by Colin H.
admitted to Queen’s Commerce QEA student alumni

While applying to universities, many students will focus on their grades, but have often neglected the importance of the application essay. You should start early (one to two months before the deadline) and compose at least 4-5 drafts on each essay.

The words on your essay are very limited, often times you have to deliver your points in about 300-400 words. Therefore you must go [...to be continued]

email to: vlee@QETutoring.com

to receive a FREE University Admission Support Package

StudyTips

MCR3U
by Sam A.BSc. graduate, Queen’s University QEA student alumni
MCR3U
by Jessica K.Master in English literatureQueen’s University QEA English teacher
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MCR3U Course - Syllabus

Topics and Syllabus

Overall Expectation of MCR3U Course

CHARACTERISTICS OF FUNCTIONS - MCR3U Course

1.demonstrate an understanding of functions, their representations, and their inverses, and make connections between the algebraic and graphical representations of functions using transformations;

1.1 explain the meaning of the term function, and distinguish a function from a relation that is not a function, through investigation of linear and quadratic relations using a variety of representations (i.e., tables of values, mapping diagrams, graphs, function machines, equations) and strategies (e.g., identifying a one-to-one or many-to-one mapping; using the vertical- line test)

2. 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;

2.2 determine the number of zeros (i.e., x-intercepts) of a quadratic function, using a variety of strategies (e.g., inspecting graphs; factoring; calculating the discriminant)

3.demonstrate an understanding of equivalence as it relates to simplifying polynomial, radical, and rational expressions.

3.1 simplify rational expressions by adding, subtracting, multiplying, and dividing, and state the restrictions on the variable values

EXPONENTIAL FUNCTIONS for MCR3U Course

1. evaluate powers with rational exponents, simplify expressions containing exponents, and describe properties of exponential functions represented in a variety of ways;

1.1 graph, with and without technology, an exponential relation, given its equation in the form y = ax (a > 0, a ≠ 1), define this relation as the function f(x) = ax, and explain why it is a function

2. make connections between the numeric, graphical, and algebraic representations of exponential functions;

2.1 distinguish exponential functions from linear and quadratic functions by making comparisons in a variety of ways (e.g., comparing rates of change using finite differences in tables of values; identifying a constant ratio in a table of values; inspecting graphs; comparing equations)

3. identify and represent exponential functions, and solve problems involving exponential functions, including problems arising from real-world applications.

3.1 solve problems using given graphs or equations of exponential functions arising from a variety of real-world applications (e.g., radioactive decay, population growth, height of a bouncing ball, compound interest) by interpreting the graphs or by substituting values for the exponent into the equations

DISCRETE FUNCTIONS for MCR3U Course

1.demonstrate an understanding of recursive sequences, represent recursive sequences in a variety of ways, and make connections to Pascal’s triangle;

1.4 1.3 connect the formula for the nth term of a sequence to the representation in function notation, and write terms of a sequence given one of these representations or a recursion formula

2. demonstrate an understanding of the relationships involved in arithmetic and geometric sequences and series, and solve related problems;

2.1 identify sequences as arithmetic, geometric, or neither, given a numeric or algebraic representation

3. make connections between sequences, series, and financial applications, and solve problems involving compound interest and ordinary annuities.

3.1 make and describe connections between simple interest, arithmetic sequences, and linear growth, through investigation with technology (e.g., use a spreadsheet or graphing calculator to make simple interest calculations, determine first differences in the amounts over time, and graph amount versus time)

TRIGONOMETRIC FUNCTIONS for MCR3U Course

1. 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;

1.1 pose problems involving right triangles and oblique triangles in two- dimensional settings, and solve these and other such problems using the primary trigonometric ratios, the cosine law, and the sine law (including the ambiguous case)

2.demonstrate an understanding of periodic relationships and sinusoidal functions, and make connections between the numeric, graphical, and algebraic representations of sinusoidal functions;

2.1 predict, by extrapolating, the future behavior of a relationship modeled using a numeric or graphical representation of a periodic function (e.g., predicting hours of daylight on a particular date from previous measurements; predicting natural gas consumption in Ontario from previous consumption)

3. identify and represent sinusoidal functions, and solve problems involving sinusoidal functions, including problems arising from real-world applications.

3.1 identify periodic and sinusoidal functions, including those that arise from real-world applications involving periodic phenomena, given various representations (i.e., tables of values, graphs, equations), and explain any restrictions that the context places on the domain and range

Sources: Ministry of Education Ontario:http://www.edu.gov.on.ca/eng/curriculum/secondary/math1112currb.pdf

Course organization for MCR3U Course

UnitUnit Title (Description)Time
Unit 1Exponents, Polynomials and Rational Expressions20 hours
Unit 2Function Notation, Inverses & Transformations20 hours
Unit 3Quadratic Functions and Equations13 hours
Unit 4Trigonometry15 hours
Unit 5Trigonometric Functions19 hours
Unit 6Sequences and Series9 hours
Unit 7Financial Applications9 hours
Review, Final Exam5 hours

Total Hours 110 hours

ASSESSMENT AND EVALUATION POLICY for MCR3U Course

Seventy percent (70%) of the grade will be based on evaluations conducted throughout this course. This portion of the grade should reflect the students’ most consistent level of achievement throughout the course, although special consideration should be given to the more recent evidence of achievement.

Thirty percent (30%) of the grade will be based on a final evaluation in the form of an examination, performance, essay and/or other method of evaluation suitable to the course content and administered towards the end of the course.

Assessment is the process of gathering information from a variety of sources (including assignments, demonstrations, projects, performances and tests) that accurately reflects how well students are achieving the curriculum expectations.

Evaluation is the process of judging the quality of a student’s work on the basis of established achievement criteria, and assigning a value to represent that quality.

The term score will be divided into 4 categories:

  • Knowledge (30 – 35%)
  • Applications (20 – 25%)
  • Thinking / Inquiry (15-20%)
  • Communications (15-20%)

TEACHING/LEARNING STRATEGIES for MCR3U Course

  • Whole-class, small group, and individual instruction;
  • Electronic technology – use of dynamic software, calculators, the Internet, spreadsheets and multi-media in activities, demonstrations and investigations;
  • Encourage maximum student participation in classroom activities;
  • Share the rubrics for culminating activities at the beginning of the unit, so expectations are clear
  • Encourage inquiry – questioning, investigating, communicating in a variety of ways;
  • Provide opportunities to acquire knowledge and apply that knowledge in a variety of contexts;
  • Identify & address different learning styles throughout the course;
  • Use self- and peer assessments;
  • Encourage brainstorming, exchange of ideas, debating;
  • Encourage students to take responsibility for learning;
  • Encourage students to apply individual/group learning skills;
  • Respect cultural differences of international students.

CONSIDERATIONS ON PROGRAM PLANNING

Teachers who are planning a program in mathematics must take into account considerations in a number of important areas, including those discussed below.

Queen Elizabeth Academy - Find MCR3U Course at your neighborhood

*Note that Queen Elizabeth Academy offers in class learning at our Mississauga location, at Unit 5, 1020 Johnson’s Lane. The rest of the locations we offer credits online via Zoom (TM) with live teaching.

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