Grade 11 Functions
Course and Tutoring
Google Rating

Welcome to Queen Elizabeth Academy, providing MCR3U 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.

Principles of Mathematics, Grade 10, Academic
11 (University)
Ministry of Education:
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.

to enrolMCR3U:

Private MCR3U Grade 11 Functions

In Person, Classroom Lectures (Credit Course)
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.

Benefits to Students
in taking MCR3U Grade 11 Functions
Private Credit with QEA:

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 on-going lecture.

2. Step by Step

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.

3. Building

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...
to enrolMCR3U:

One on one private tutoring MCR3U Grade 11 Functions course

Queen Elizabeth Academy’s Private Tutoring Program provides our students with one on one, personalized tutoring lessons that are based on a step by step, easy to understand methodology.

Our Approach of Tutoring for
MCR3U Grade 11 Functions

At QEA, we focus on tutoring the students and build his or her foundation and understanding. Our tutoring approach facilitates independent thinking, so that our students can analyze the questions properly. Our tutors go through math and science lessons step by step, and make sure that you have a firm foundation before they move onto more complex math and science concepts.

1. Step by step explanation

For our science and math tutoring programs, we focus on providing step by step explanations during the tutoring session, facilitating the student’s understanding of the math and science concepts.

2. Building Foundations

Math and science are cumulative. Therefore, building a good foundation is important for the student’s long-term success. In our math and science tutoring, we focus on clarifying the student’s knowledge gaps to help them build a good foundation in math and science.

3. Organize Knowledge

Our tutors will categorize types of problems and organize knowledge making it easier for students to retain.

We provide tutoring for students in subjects like Math, English and Science in cities such as Toronto, Ottawa, Calgary and Milton. Students in our program achieve success through building a good foundation in Mathematics, Science and English.

The challenge for students for MCR3U Grade 11 Functions online or in person course, is to understand the concept and have a good foundation skills. On top of this, the student needs to understand how to dissect complex application questions and apply the concepts to the equations and steps. We provide good guidance and lessons, and want our students to work hard and practice to master this skills.

QEA Tutoring - in Action!

MCR3U Functions and other courses


Meet our 25+ Teachers and Tutors

Diana J.
English Teacher
PhD candidate, English literature. York University. 6+ teachers of teaching experience. Teaching university level tutorials at York University.
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.
Angela K.
Chemistry and Biology Teacher
Master graduate in Science, University of Toronto Angela explains how we take an extra step during Covid 19 period, to support our students and ensure that they get a good foundation.
Ben T.
English Teacher
Teaches:  English grade 5 to 12

PhD Candidate, English literature

Writing Course Director, Guelph-Humber University 

Laura C.
MD Candidate
Harvard University

Queen Elizabeth Advisor

Designed Learning Strategies for our courses. 

John C.
Math Tutor and Science Tutor
Teaches:  Calculus, Advanced Functions, Physics

PhD Candidate, University of Toronto

Taught university math tutoring classes for 2+ years

Renuka R.
Math Tutor
Teaches:  Advanced Functions

1200+ hours of tutoring experience.  Specialized in making complex concepts easy to understand

Candy C.
Math Teacher
Teaches:  Calculus, Grade 9-12 Math

Certified Teacher, Mathematics.

6 years of university teaching experience as a TA

Aditya S.
Science Tutor
Teaches:  Chemistry, Math 9-12

Recipient of E.A. Robinson Medal.  Rank#1 in Science, University of Toronto

TA teaching first year university tutorial

and 27+ tutors each specializing in a subject area, grade and student’s need

Tutors working with QEA are specialized in their subject including Math, Science, Chemistry and Physics. QEA tutoring can be found all over Canada such as in Toronto, Ottawa, Calgary and Markham. QEA focuses on building students foundations and skills so that they can be successful long after they finish the program.

Google Rating
Thank you
Queen Elizabeth Academy!

Students from MCR3U Grade 11 Functions and other courses

Matt B.
a grade 12 student admitted to Laurier Business
Sebastian G.
a grade 12 student admitted to McGill University
Andrew G.
admitted to Western University

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
Yohan B.
Wilfrid Laurier BBA
Will O.
Queen’s Engineering
Mark J.
Western Ivey
Google Reviews
Queen Elizabeth Academy | Private Credit Courses
mcr3u functions 25

MCR3U Grade 11 Functions
Private Credit Course Overview

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

MCR3U 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 Grade 11 Functions 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 Grade 11 Functions

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 course work 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.

FAQ for MCR3U Grade 11 Functions course

How can MCR3U Grade 11 Functions tutor help my child?

QE has a strong track record on supporting our students to academic excellence and long term success. Our tutoring program is private one on one, tailored towards the strengths and weaknesses of your child. Our tutoring program is lesson based, which means we don't sit back and wait for questions, because oftentimes they don't know what to ask. We actively teach lessons and provide weekly homework for practice.

How is QE MCR3U Grade 11 Functions different from others?

QE provides quality education. What does this mean? To achieve high grade, it is important to have a systematic approach to build your child's foundation: Lessons, Homework Practice and coaching. For lessons, we actively teach the material, organizing knowledge in a step by step fashion. This way we facilitate understanding, without forcing memorization equations or steps. We provide packages of homework practic so that our students can learn a variety of problems and prepare well for tests. We also provide past tests and mock exams, such that we teach test writing techniques to optimize their performance.

How can my child achieve higher grade in MCR3U Grade 11 Functions?

Academic excellence comes with understanding and hardwork. We take care of the understanding part in our lessons, where we teach the concepts in a easy-to-understand manner. To achieve high grade, the students need to practice and establish a good routine for working through homework. Making their own study notes will be preferred. We also teach test writing strategies, such as tackling multiple choice and complex application questions.

What are QE's credentials?

QE is Ministry accredited, which means we offer high school courses. We know the curriculum of each subject inside-out. We know what foundation building block is important leading to the next grade. As we have worked with 5,000+ students over the past 9 years, we are familiar with the common weakness and challenge they face on each subject. Therefore, we focus on what matters most to achieve success. Our students were admitted to top universities: Waterloo, Laurier, Queen's, Western, McGill with scholarship from $2,000 to $50,000.

How much does MCR3U Grade 11 Functions tutoring cost?

We charge per month (4 or 8 lessons a month). Depending on the program, we offer very competitive and fair rate. We provide much more value than the average tutoring centers or go-to-home agencies: successful experience, coaching, homework package, mock tests and exams, test writing strategies and lesson based tutoring.

What MCR3U Grade 11 Functions tutor will be assigned to my child?

The average tenure of our tutors at QE is at least 3 years. Many of our tutors stay with QE for 5-6 years. In this way, they are experienced and have worked with hundreds of students. Many of them have taught our 110 hours credit courses. New tutors need to go through a rigorous audition process in order to join QE. This includes showing in depth knowledge on our tests while also being able to explain concepts in a way that students can understand.


Admission Requirements Summary
Admission Requirements Summary. Major university programs. (Grade cut off, Admission essay etc.)
mcr3u functions 26
How to Get into the
Top Universities?
How I got into my top choice universities?
by QEA student alumni
mcr3u functions 27
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]

mcr3u functions 28
Colin H.
Admitted to
Queen’s Commerce
former 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
mcr3u functions 27
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. [ be continued]

mcr3u functions 28
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 [ be continued]

email to:

to receive a FREE University Admission Support Package


by Sam A.
BSc. graduate,
Queen’s University
QEA student
by Jessica K.
Master in English
Queen’s University
QEA English teacher

Overall Expectation for Math grade 11


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 repre- sentations (i.e., tables of values, mapping dia- grams, 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


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 expo- nential 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 compar- isons 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; compar- ing 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 Math grade 11

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)


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 behaviour of a relationship modelled using a numeric or graphical representation of a periodic function (e.g., predicting hours of daylight on a particu- lar date from previous measurements; predict- ing 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:

Course organization for Math grade 11

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


Seventy per cent (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 per cent (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%)


  • 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.


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

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*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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