tutoring Toronto

Math Tutoring Toronto

1 on 1 Math Tutoring Lessons Near Me

Welcome to Queen Elizabeth Academy, where we provide high quality Private 1 on 1 tutoring to our students.

Our students were admitted to top universities: Waterloo, Queen's, McGill, Laurier, University of Toronto, Western with scholarship ranging form $2,000 to $23,000.

Tutoring Toronto
QE tutor Philip teaching a QE student

How can our Math tutor in Toronto help you?

Math is a challenging subject. It is cumulative in a sense that, if you miss the foundation or have gaps, the next year you will run into the same problem. So building a foundation is the first steps.

QE teaching approach is based on understanding, not memorizing

Memorizing steps and equations doesn't work, because your teacher will change the questions on tests. Students need to understand the concepts and learn how to apply. This means understanding the why behind the cconcepts and know how each piece fit together in a big picture.

All QEA math tutoring in Toronto is one on one private. We teach the full lesson and review what you have learnt during that week. In this way, you won't miss anything.
Meet our Math
Tutoring Team in Toronto
Meet our Math
Tutoring Team in Toronto
Nikki V.

QEA Math Teacher

Nikki is a certified teacher with Master degree in Education from University of Toronto. She has been working with QEA for over 6 years, and many of QEA top students came out of her class

What you can expect from our high quality tutoring lessons:

  • Focus on foundation and patch up foundational gaps from previous years

  • Focus on foundation and patch up foundational gaps from previous years under each unit, for you to score higher on tests

  • Teach you the concepts proactively. We don't just sit back and wait for questions, because very often you don't know what to ask. Answering a few questions will not help you to score well on tests. You need to understand the concepts and apply

  • Go through your homework / problems that you don't understand, with step by step explanation

  • Provide worksheets for weekly practice, including difficult application / thinking problems that you will encounter on tests

  • Exam review packages and mock exams at year end, to prepare you for the finals.

Math 11 - MCR3U - Math Tutoring Toronto

Grade II Math is a major stepping stone into more advanced math in the 12th grade. From experience, we've seen that lots of students at this stage are often at a crossroads. Many of them do not know whether to choose the Mixed keel math course or the Academic level math course. But we usually advise them to go for the Academic level math, as it gives them options to choose from a more diverse range of university courses. The challenge is that they'll have to do more work. So unless they are certain of the path they want to take, we encourage them to go for the Advanced level math course.

There are several challenging units in grade II Math, such as exponents, transformation, trigonometry graphing, and trigonometry identities. In fact, it is at this level that they get introduced to proofs. The simpler units include quadratics, series, and sequences.

Welcome to join us: Math Tutoring Toronto

Math 12 - MHF4U - Math Tutoring Toronto

Advanced Functions, students learn units like factoring, graphing, trigonometry, and exponents. Most university programs require this course as a prerequisite, hence they very important. Typically, students will build upon the skills they learned in the Grade 11 course. At this point, things can get even tougher for an average student. Some units, such as polynomial functions, are quite simple, while others, such as trigonometry and proofs are on the hard side. For this reason, some students have described Advanced Functions as a rollercoaster ride of a course, considering all the thrills and challenges it entails.

Welcome to join us: Math Tutoring Toronto

IB SL and HL Tutoring (Grade 11-12)

The IB SL and HL syllabus approaches university difficulty. IB tutoring support is important. We have successful track record, in helping our IB students achieving 6 and 7. We provide quality lesson on teaching the concepts first, then showing the student how to apply the concept in difficult IB problems. IB is different from regular program in its difficulty and a variety of problems. Learning how to solve each type of questions is essential and this is what we teach.

Beside this, we provide IB level worksheets, so that our students can practice on a weekly basis, and accustomed to its level of difficulty. We also guide our students to purchase IB exams, so that they build confidence in tackling the IB final exam.

Welcome to join us: IB SL and HL Tutoring Toronto

Grade 7-10 - Math Tutoring Toronto

We focus on foundation building, from grade 7 (integers, fractions, algebra) to grade 10 (quadratics, linear systems, word problems) We follow the school curriculum and explain the concepts and problems step by step, in a one on one scenario. This will help your child to excel through the elementary / junior high school curriculum and have a good foundation for senior high school, where the mark counts for university.

Welcome to join us: Math Tutoring Toronto

Why does QE student achieve higher marks?

QE Foundation approach to tutoring

Step 1.

Review the concepts from school

To build a good foundation, students must understand the concepts first. QE is Ministry accredited, we have lesson plans on every unit, down to every single step. We teach the concepts first and then teach them how to apply.

Step 2.

Go over school homework and our Test-level worksheets - better preparation for application test questions

Students can’t memorize solutions. They must understand the rationale behind each step and that’s what we teach.

Step 3.

Weekly Test-level worksheets + Mock exams

Teachers sometimes give easy homework and put tough tests. QE develop our own worksheets, that is on par on tests difficulty, especially on application problems.

For most of the subjects, we provide mock exams, to simulate an exam writing environment. This will reduce stress.

Step 4.

QE students get Seminars on Study skills, Test writing strategies to build the students long term success

We provide seminars throughout the year for our student.

We focus on building the long term success of the student - on study skill, time management, test writing strategies and how to reduce test anxieties.

Agencies / tutor centers Random approaches

Agency / center tutors come to the session empty handed - students get low grade

They randomly answer some questions from the student and burn out the hour.

Kids often doesn’t know what to ask - they don’t know what they don’t know.

As a result, students get poor grade and develop foundation gaps. This will damage their grades in future years.

Agency tutors have limited access to test level problems

Most of the textbook problems are easy, where the teacher gives tough problems on tests. 30% of each test are based on application problems which they have no access to. Therefore, their students get low grade.

Lack of extra worksheets. No test level difficulty problems

Their students get low grade due to a lack of practice

None. Students don’t learn any study skills or test writing strategies from Agencies / centers.

The Foundation QE built for our students

Emily H.

admitted to

Queen's Commerce

Jivan K.

admitted to

Waterloo Engineering

Stephanie L.

admitted to

Queen's Commerce

Endrew G.

admitted to

Western Engineering

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Browse this page - Math tutoring Toronto

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Success
Stories
Congrats to Orly O.
a QE student since grade 9

Admitted to Yale University

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
Carter S. Western Ivey
James B. Wilfred Laurier BBA
Sydney H. Queen’s Engineering
Brianna M. Waterloo Science
Sam A. Queen’s Science
Bill N. Waterloo Mathematics
Catherine M. McGill Engineering
Jennifer F. Queen’s Commerce
Craig C. Western Engineering
Allen T. Queen’s Engineering
math tutoring Toronto 62
Stephanie L., who scored 95% and ranked top 15 in Canada, shares her secrets of success in QEA interview.
Math Tutoring Toronto
Jerry T.
Admitted to Queen’s Commerce
Math Tutoring Toronto
Taylor W.
Admitted to Western Medical Science
math tutoring Toronto 56
Sam A.
Admitted to Queen’s Science Honours

Success of QEA alumni

math tutor Toronto
Mark J.
Investment banking analyst
Canaccord Genuity
Graduate of Western Ivey
QEA student alumni
math tutor Toronto
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
math tutor Toronto
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
math tutor Toronto
Sam A.
MD Candidate
University of Queensland
Graduate of Queen’s University
QEA student alumni
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Meet our math tutors in Toronto

Meet our online and private math tutors in Toronto

QEA approach to tutoring students in Toronto
Nikki V.
QEA Math Teacher
Nikki is a certified teacher with Master degree in Education from University of Toronto. She has been working with QEA for over 6 years, and many of QEA top students came out of her class
Kosal C., explains our approach of tutoring Math
Kosal C.
Master candidate, Mathematics
York University
QEA Math Tutor

QEA also offers Summer School in Toronto , where students can get a credit. We are accredited by the Ministry of Education, and we offer the following courses:
Adv Functions, Calculus, Math 11, Math 10 and Math 9.

QEA Tutoring in Toronto - in Action!

Math Tutoring Toronto
Math Tutoring Toronto
Math Tutoring Toronto
Math Tutoring Toronto
Math Tutoring Toronto
Math Tutoring Toronto
Math Tutoring Toronto
Math Tutoring Toronto
Math Tutoring Toronto
Math Tutoring Toronto
join us in Math tutoring Toronto
Learn math via temperature conversation, to check how to convert 100 degrees celsius to fahrenheit, you can learn it here
You can learn subsequent conversion on 16 degrees c to f, and 37 degrees c to f, 25 degrees c to f and 40 degrees c to f.
We also support teacher appreciation day. Please check here
https://www.qetutoring.com/teacher-appreciation-day.html
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The QEA Approach to Math Tutoring
 - How is our math tutoring lessons run?
Private 1 on 1, Teaching based Math tutoring - that focuses on understanding, not memorizing
For each session in Math Tutoring Toronto, you will get:
  • A full lesson on the concepts, review what you learn during the week. e.g. What is domain and range? What are the types of problems? What are the steps? (example from Math 10)
  • Step by step explanation of major application / thinking problems. Math students mostly stumbled upon application / thinking problems. This part is very difficult, as it requires deep understanding of the concepts and good explanation. Your teacher will change the questions all the time and to solve them, you need to understand and apply.
  • Good notes from our lesson board. As we teach the materials, we write everything down - explanations, solutions etc. These are valuable notes you can keep and use for reviewing for future math courses.
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How to get high marks in Math?

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How to get high marks in Math 11 (MCR3U)?

Common challenges for math 11

Grade 11 Math is a major stepping stone into more advanced math in the 12th grade. From experience, we`ve seen that lots of students at this stage are often at a crossroads. Many of them do not know whether to choose the Mixed level math course or the Academic level math course. But we usually advise them to go for the Academic level math, as it gives them options to choose from a more diverse range of university courses. The challenge is that they'll have to do more work. So unless they are certain of the path they want to take, we encourage them to go for the Advanced level math course.

There are several challenging units in grade 11 Math, such as exponents, transformation, trigonometry graphing, and trigonometry identities. In fact, it is at this level that they get introduced to proofs. The simpler units include quadratics, series, and sequences.

2 tips to score higher marks on math 11 MCR3U

Tip #1.
Have a good foundation

Before taking this math course, try to strengthen your math foundational skills from grade 10. Key math skills include factoring (especially trinomials), fractions (grade 8-9 level), Linear systems and quadratics with a good understanding of domain and range, x and y intercepts and asymptotes. With math foundational skills down it will be easier to follow the lessons and work in this math course, and less time will be spent catching up on previous material.

Tip #2.
Organize your steps

Many grade 11 math questions involve multiple steps. Ensure you understand why you are undertaking each step from a logical or math perspective, and the pinpoint the goal of the steps, that is to say as ‘what am I trying to solve?’ Work through the steps after you have done this. By breaking the problems into steps, the questions will seem less overwhelming.

Inquiry for Math Tutoring Toronto: (905) 257 9009

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How to get high marks in Advanced Functions (MHF4U)?

Common challenges for advanced functions

In Advanced Functions, students learn units like factoring, graphing, trigonometry, and exponents. Most university programs require this course as a prerequisite, hence they`re very important. Typically, students will build upon the skills they learned in the Grade 11 course. At this point, things can get even tougher for an average student. Some units, such as polynomial functions, are quite simple, while others, such as trigonometry and proofs are on the hard side. For this reason, some students have described Advanced Functions as a rollercoaster ride of a course, considering all the thrills and challenges it entails.

2 tips to score higher marks on advanced functions MHF4U

Tip #1.
Strengthen your math foundation

It would be a good idea, before the beginning of Advanced Functions, to brush up on the foundation's skills of math, such as factoring (especially trinomial factoring), domain and range, graphing, adding rational expression, and trigonometry ratios. If you wait until the course begins, it may be difficult to keep pace with the new material in Advanced Functions. Foundations are always important, and as with all mathematics course, this one builds upon your past knowledge, so be sure to review before starting Advanced Functions!

Tip #2.
Practicing of variety of application problems

Also, make sure to keep good, organized notes to stay on top of the course units in Advanced Functions. Do not be afraid to practice problems beyond those assigned in the homework, as Advanced Functions is known for containing a very wide variety of questions and problems, and therefore the more you expose yourself to such problems, the better prepared you will be. Because of this, the Queen Elizabeth Academy provides all of our students with extra worksheets on Advanced Functions and practice tests to hone their skills and succeed.

Inquiry for Math Tutoring Toronto: (905) 257 9009

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How to get high marks in Calculus and Vectors 12 (MCV4U)?

Common challenges for Calculus and Vectors 12

In Calculus, there are two different sections - derivative (extends from work in Advanced Functions) and Vectors Calculus, which is completely unrelated to the first. Vector Calculus is similar to Physics in terms of problem-solving. The Calculus derivative section takes root in and branches out from Advanced Functions. It includes units like algebra, graphing, trigonometry, and logarithms. The vector component, on the other hand, is entirely new, and involves 3D equations of lines and planes. The problem-solving aspects of Vector Calculus are also similar to physics. Generally, many students find Advanced Functions difficult.

2 tips to score higher marks on Calculus and Vectors 12 MCV4U

Tip #1.
Understanding the concept

In order to succeed in Vector Calculus, make sure you are proficient in exponents, factoring, combining rational expressions such as fractions with algebra, and solving equations.

Make sure to pay special attention to the Optimization Unit in Calculus, which includes many word problems. If you struggle with word problems, make sure to prepare for this Calculus unit in particular. As always, make sure to keep your notes organized. Identify the different kinds of Calculus problems. This will help you to clarify the Calculus concepts in this course significantly, and also help to keep track of your progress.

Tip #2.
Write down the steps clearly and understand the reasons behind them

When approaching vectors in Calculus, the concepts are highly complex. To address this, try to lay out and write down all of the steps clearly, and write down why you are taking such steps as well. What variable are you attempting to achieve at every step? This approach to tackle Calculus will simplify some of the more complex questions, and will also allow you to pinpoint areas in which you will require extra help.

Inquiry for Math Tutoring Toronto: (905) 257 9009

Math course Description

with QE Math Tutoring Toronto

MHF4U Grade 12 Advanced Functions Private Credit Course Overview

MHF4U Grade 12 Advanced Functions is one of the most important Math courses in grade 12 for university admission

Learn advanced functions with Math tutoring Toronto

What is MHF4U Grade 12 Advanced Functions?

MHF4U Grade 12 Advanced Functions is a key math course in grade 12, pre-calculus. It explores important concepts in trigonometry, graphing, polynomials and rational functions.

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What does MHF4U Grade 12 Advanced Functions stand for?

MHF4U Grade 12 Advanced Functions is a course code designed by the Ministry of Education. MHF stands for Advanced Functions, 4 stands for 4th year in high school (grade 12) and U stands for a course preparing for university

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What is Advanced Functions?

Advanced Functions is one of the 3 math courses in grade 12, besides calculus and data management. It’s a pre-calculus course, therefore many concepts you learn in this course will serve as a foundation for calculus, whether you are taking it in grade 12 or first year.

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Is Advanced Functions harder than Calculus?

Some units in Advanced Functions are very difficult, such as trigonometry (double angle formulas). We will say that in general Calculus is harder.

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MHF4U Grade 12 Advanced Functions - Course Description

MHF4U Grade 12 Advanced Functions 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.

MHF4U is intended both for students taking the Calculus and Vectors course as a prerequisite for a university program and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.

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What is taking MHF4U Grade 12 Advanced Functions like?

MHF4U Grade 12 Advanced Functions is a very important course for many students because most university programs require this course as a pre-requisite. The skills learned in the Grade 11 course are built upon in this course, including factoring, graphing, trigonometry and exponents.

Students will likely have varying levels of proficiency when taking this course, as some units, such as polynomial functions, are quite simple, while others, such as trigonometry and proofs. Some students have thus described it as a roller coaster ride of a course, with all the thrills (and challenges) that that entails.

Learn advanced functions with Math tutoring Toronto

Tips to succeed in MHF4U Grade 12 Advanced Functions

It would be a good idea, before the beginning of this course, to brush up on the foundations of mathematics, such as factoring (especially trinomial factoring), domain and range, graphing, adding rational expression, and trigonometry ratios. If you wait until the course beings, it may be difficult to keep pace with the new material which is being taught. Foundations are always important, and as with all mathematics courses, this one builds upon your past knowledge, so be sure to review.

Also, make sure to keep good, organized notes to stay on top of the course units. Do not be afraid to practice problems beyond those assigned in the homework, as MHF4U Advanced Functions is known for containing a very wide variety of questions and problems, and therefore the more you expose yourself to such problems, the better prepared you will be. Because of this, the Queen Elizabeth Academy provides all of our students with extra worksheets and practice tests to hone their skills and succeed.

Learn advanced functions with Math tutoring Toronto

MCV4U Calculus Private Credit Course Overview

MCV4U / Calculus is one of the most important Math courses in grade 12 for university admission

Learn Calculus with Math tutoring Toronto

MCV4U Calculus - Course Description

This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three-dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who choose to pursue careers in fields such as science, engineering, economics, and some areas of business, including those students who will be required to take a university-level calculus, linear algebra, or physics course.

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What is taking MCV4U Calculus like?

There are two different sections in this course; the first is derivative or extends from work in Advanced Functions; the second other is Vectors, which, unlike the first, is totally new. Vectors are essentially similar to Physics when it comes to problem-solving.

The derivative section takes root in work done in Advanced Functions and will typically include algebra, graphing, trigonometry, and logarithms.

The vector aspect of the course includes 3D equations of lines and planes. Because of the similarity of vector problem-solving to physics, many students find this course component more complicated than the first one.

Learn Calculus with Math tutoring Toronto

Tips to succeed in MCV4U Calculus

For students to succeed in Vector Calculus, they must be proficient in exponents, factoring, combining rational expressions such as fractions with algebra, and solving equations.

You want to pay special attention to the Optimization Unit, which usually includes many word problems. However, if you have trouble dealing with word problems, be sure to prepare for this unit in particular. Do not forget to keep your notes organized while you identify the different kinds of problems. This will significantly help you to clarify the concepts in the course, and to keep track of your progress.

The concepts of vectors are very complex. So when approaching vector problems, be sure to layout and write down all of the steps clearly. Also, write down why such steps are necessary. For instance, what variable are you attempting to achieve with each step? This approach will undoubtedly simplify even more complicated questions and allow you to easily identify areas where you need additional help.

Learn Calculus with Math tutoring Toronto

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FAQ for Math Tutoring Toronto

How much does a math tutor cost per hour in Canada?

The cost per hour for math tutor in Canada, depends on the grade. For QE Math tutoring, you get the most value out of the money you spend. You get great education and caring tutors who will help your child to build foundation, not just answering a few questions.

How much is a math tutor in Ontario?

The cost for a math tutor in Ontario depends on the grade level. For QE math tutoring, you get the best learning experience, building the foundation and great education for the money you spend. It's more than just getting someone to answer a few questions. Your child will get a role model, a top academic achiever, who will coach and guide your child step by step.

Is Mathnasium better than Kumon?

We don't comment on our competitor, but QE delivers one on one private tutoring (not groups) that is lesson based with high quality tutors.

Are math tutors worth it?

Math tutor is worth it, if you can find a good one, who will help you to build a good foundation It's important because math counts for most of your university application marks, and it's very competitive.

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Our Approach of Tutoring for students in Toronto

At QEA, we focus on building the foundation of our students and understanding of the materials, not memorizing. Our tutoring approach facilitates independent thinking, whether it is analyzing a math solution or a Shakespeare text. Our tutors teach each lesson meticulously step by step, explain in a manner that our students can understanding.

If you live in Toronto would want your children to enhance their academic standing and build long term success, you are welcome to join our private tutoring program comprising of chemistry, biology, physics, math and English. Our team of tutors are specialized in each of these subject areas, and will become a role model of your children for academic achievements.

The Queen Elizabeth Quality

Queen Elizabeth Academy has a strong tradition of providing high quality education through our science tutoring programs.  Many of our students were admitted to top universities with scholarship ranging from $2,000 to $23,000.  Queen Elizabeth student's alumni had built strong foundation, which had helped them to pursue their science career in university.  Many of our student's alumni had successfully entered medical school and Master degree program in chemistry and biology. 

In our science tutoring programs, we coach our students with care and with easy to understand explanation over complex science concepts.  We work with our student through step by step.

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Math Tutoring Toronto Curriculum

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The Ontario Curriculum, Grades 11 and 12: Mathematics

High school math topics

In taking high school math course, here are the topics covered:

 

MPM1D. Grade 9 Principle of Mathematics

Grade 9 Math Tutoring Curriculum

Unit 1. Numeracy and Number Sense

  1. Numbers: Percents, Ratios and Rates
  2. Understanding Exponents
  3. Learning the principles of Fractions

Unit 2. Polynomials

  1. Exponent Laws
  2. Polynomials
  3. Distributive Property

Unit 3. Equations

  1. Simplifying Expressions and Solving Equations
  2. Algebra

Unit 4. Linear Relations

  1. Determining Characteristics of Linear Relations
  2. Investigating Constant Rate of Change
  3. Variation

Unit 5. Measurement and Geometry

  1. Slope and intercept
  2. Investigating the Properties of Slope
  3. Solving Problems Involving Perimeter, Area, Surface Area, and Volume

MPM2D. Grade 10 Principles of Mathematics

Grade 10 Math Tutoring Curriculum

Unit 1. Quadratic Relations

  1. Solving Linear Systems
  2. Basic Properties of Quadratic Relations
  3. Solving Problems Involving Quadratic Relations

Unit 2. Analytic Geometry

  1. Solving Problems by Using Linear Systems
  2. Exploring Line Segments
  3. Understanding Geometric Properties

Unit 3. Trigonometry

  1. Properties of Triangles
  2. Circumcentre of a Triangle
  3. Investigating Similarity and Solving Problems Involving Similar Triangles

Unit 4. Polynomials and Factoring

  1. Different types of Factoring
  2. Laws of Exponent
  3. Multi-Stage of Factoring

MCR3U. Grade 11 Functions

Grade 11 Math Tutoring Curriculum

Unit 1. Exploring Functions

  1. Introduce Rational Expressions
  2. Domain and Range
  3. Function Notation
  4. Learning Transformations of Functions
  5. Exponential Functions
  6. Discrete Functions

Unit 2. Trigonometry

  1. Primary and Secondary Trigonometric Ratios
  2. Laws of Sine and Cosine
  3. Applications of Trigonometry
  4. Solving problems using Trigonometry

Unit 3. Trigonometric Functions

  1. Sketching graphs of Sine, Cosine and Tangent
  2. Understanding Transformations of Trigonometric Functions
  3. Solving problems using Trigonometric Equations

Unit 4. Sequences and Series

  1. Introduce Sequences
  2. 3 types of Sequences
  3. Pascal’s Triangle
  4. Binomial Theorem
  5. Arithmetic and Geometric Series

MHF4U. Grade 12 Advanced Functions

Grade 12 Math Tutoring Curriculum

Unit 1. Polynomial Functions

  1. Transformations of Polynomial Functions
  2. Sketching graphs of Polynomial Functions
  3. Average Rate of Change
  4. Instantaneous Rate of Change

Unit 2. Polynomial Equations

  1. Descartes’ Rule of Signs
  2. Understanding Polynomial Equations
  3. Theorem of Factors

Unit 3. Trigonometric Functions

  1. Application of radian measure
  2. Transformations of Trigonometric Functions
  3. Solving problems involving Trigonometric equations

Unit 4. Logarithmic Functions

  1. Transformations of Logarithmic Functions
  2. Understanding Exponential and Logarithmic Functions
  3. Solving problems involving Logarithmic equations
  4. Properties of Logarithms

MCV4U. Grade 12 Calculus and Vectors

Grade 12 Math Tutoring Curriculum

Unit 1. Vectors

  1. Introduction to vectors and scalars
  2. Understanding vector properties
  3. Vector operations

Unit 2. Vector Applications

  1. Forces as Vectors
  2. Velocities as Vectors
  3. Dot Cross Product

Unit 3. Lines and Planes

  1. Parametric and Vector Equations of Lines in 2-Space
  2. Symmetric and Scalar Equations of Lines in 2-Space
  3. Lines in 3-Space

Unit 4. Rates of Change and Limits

  1. Rates of Change
  2. Learning the limits of functions
  3. The Derivative of a Function

Unit 5. Derivative Rules

  1. Power rule
  2. Product rule
  3. Chain Rule
  4. Quotient Rule

Unit 6. Curve Sketching

  1. Functions' Increasing/Decreasing Intervals
  2. Asymptotes
  3. Optimization
  4. L’Hôpital’s Rule
  5. Related Rates
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Thank you Queen Elizabeth Academy!

Students tutored by QEA in Toronto

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 course

Kristen C.
Admitted to University of Waterloo student alumni of QEA enrolled in course

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*Note that Queen Elizabeth premise are currently located in Mississauga, Oakville and Etobicoke. For the other locations, we offer online live tutoring over zoom.

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