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Expert Math Tutoring in Toronto
Build Foundations based on understanding
What course?
Completed:
QE students
were admitted to:
Queen’s
University
Western
University
University of
Waterloo
McGill
University
Wilfrid
Laurier
University of
Toronto
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Expert Math Tutors Toronto Build Foundations

16+ Years of Academic Excellence in Canada | 40+ Specialized Tutors | Ontario Ministry Inspected

Queen Elizabeth Academy delivers high quality tutoring services aligned with Toronto District School Board (TDSB) curriculum. Our tutoring programs are all private 1 on 1 with our Specialized Tutors. We aim to to build foundations for our students based on understanding, not memorizing.

Our students have gained admission to leading universities such as Waterloo, Queen’s, Laurier, Western, U of T, McGill with scholarship from $2,000 to $48,000

The Queen Elizabeth Academy Standard of Excellence and our Philosophy

  • We focus on foundation via a lesson based, active teaching approach. This is to ensure that we cover all the critical parts of the unit, rather than just passively answering a few random questions (although we answer questions of course)
  • Queen Elizabeth Academy is Ministry Accredited. Our tutors know the Ministry curriculum
  • Question Bank and extra worksheets that is test level difficulty, to prepare students better for tests
  • We offer year round seminars on university admission strategies, time management test writing strategies. We want to build our students long term success.
  • Stellar Track Record of our students successfully admitted to Queen’s, Western, Waterloo, Laurier, U of T and McGill.
Tutoring Inquiry
(905) 257 9009
vwlee2008@gmail.com

QEA approach to Tutoring Math

How we build foundations for our students

Math can be challenging for many students because it is cumulative — each year builds upon the next. That’s why building a strong foundation is essential.

Memorizing equations doesn't work. Students need to understand Math.

It means to understand the “why” behind a concept and know how to apply to a variety of problems.

This is the essential QEA strategy to Math Success.

Foundation Quiz: Is Your Child Ready for Grade 12 MHF4U in Toronto TDSB?

Before entering Grade 12 Advanced Functions (MHF4U), it is imperative that your child has a strong foundation on the key component of Grade 11 Math (MCR3U).

Use this 5 question quick diagnostic to assess your child:

At QE tutoring, the first lesson is always review the foundation problem, which we have a full package of 650 problems covering all the foundation going to grade 12.

Question 1: Polynomial & Quadratic Factoring

Problem: What are the roots of the quadratic equation 3 x 2 - 11 x - 20 = 0 ?

Question 2: Solving Exponential Equations

Problem: What is the value of x in the equation 4 2 x - 1 = 32 x + 1 ?

Question 3: Trigonometry Identity

Problem: Which of the following is equivalent to sin ( θ ) tan ( θ ) + cos ( θ ) 2 ⋅ sec ( θ ) ?

Question 4: Domain Restriction of Rational Functions

Problem: What is the domain of the function f ( x ) = 2 x + 1 x 2 - 9 ?

Question 5: Absolute Value Equation

Problem: What are all the solutions to the equation | 2 x - 5 | = 9 ?

Final Report
Your Score: / 5
Score Status Recommended Action
5/5 Correct MHF4U Ready Since your foundation is good, your focus should be on problem solving techniques on major application / thinking problems. QEA provide such tutoring.
3-4 Correct Foundation Gaps Exist Foundation Gap review needed. QEA tutoring provide a foundation review package with 650 problems, divided into 8 sections. We review this with our student first day.
1-2 Correct Major Foundation Gaps Exist Several units must be revisted / relearn. This can avoid losing marks across all the tests on MHF4U. Extra practice provided by QEA must be done parallel to the current MHF4U curriculum
Private MHF4U Tutoring: 905 257 9009. Vwlee2008@gmail.com

Curriculums We Cover: Toronto’s Elite High School Math Programs

The Gifted Programs:

Specialized support for the enriched curriculum at Toronto TDSB Gifted centers like Marc Garneau Collegiate Institute , North Toronto Collegiate Institute, and Martingrove Collegiate Institute.

IB

IB Schools: Expert coaching for the International Baccalaureate Diploma Programme (DP) at Monarch Park Collegiate Institute, Parkdale Collegiate Institute, and Victoria Park Collegiate Institute.

Enriched
STEM Tracks

Doing just the basic homework assigned by teachers is not enough. Toronto schools like Earl Haig Secondary School and Northern Secondary School make tests a lot harder. QEA provides extra worksheets, test-level difficulty, at no extra charge. Practice makes perfect.

Meet our Math Tutors

Our Toronto math tutors are all specialized in their specific areas - Grade 9, 10, 11 and 12 math - MCR3U, MHF4U, MCV4U

Nikki V.

- Advanced Functions & Calculus Specialist

Nikki is a University of Toronto specialist with over 5 years of teaching experience. She is our lead tutor for MHF4U (Advanced Functions) and MCV4U

Kosal

- Master's degree graduate in Mathematics

Kosal is a Mathematics Master’s graduate at York University. Kosal is specialized in teaching problem solving techniques, on advanced subjects such as IB Math, AP Math, and calculus (MCV4U)

Meet QEA 40+ tutors team

All QEA tutors are our employees with dedication and multiple years of experience and service at QEA. They are not random freelancers or contractor.

Amjad M.
PhD Candidate Western University Major in Mathematics

5 years of teaching experience

Dr. Subhajit M.
PhD Candidate McMaster University Major in Mathematics

4 years of teaching experience

Renuka R.
PhD candidate
University of Toronto

6 years of teaching experience

Tutoring Inquiry
(905) 257 9009
vwlee2008@gmail.com
Toronto Grade 11 Functions (MCR3U) Exponents:
5 Essential Problem Types & Solved Examples
Type 1: Basic Exponent Rules & Common Pitfalls
(Negative Exponents & Base Distinction)

4 Rules of exponents

Rule 1: Multiply ➔ Add exponents

22×23=22+3=25

Rule 2: Divide ➔ subtract exponents

23+25=23-5=2-2

23÷25=23-5=2-2

Rule 3: () of ➔ multiply exponents

(23)2=26

Rule 4: negative exponent ➔ flip

2-2=122=14

12-2=22=4

Pro Tip

Note that (23)2 vs. 23×22

They are different. The first one is bracket of the bracket. The second one is multiplying two numbers together.

(23)2 means (23)⁢(23)=26

23×22 means 2×2×2×2×2=25

Tutoring Inquiry
(905) 257 9009
vwlee2008@gmail.com
How Much Harder is Advanced Functions (MHF4U) vs. Functions 11 (MCR3U) in Toronto?
Feature MCR3U MHF4U
Foundation
Required
High demand on Foundation from G10, especially on quadratics, linear system, and solving word problems High demand on a much larger Foundation base. To perform well on Advanced Functions, students must master Trigonometry, Exponents, Polynomials, Factoring, and Graphing.
Challenging Concepts This MCR3U course moves in a fast pace. There are many new concepts introduced, such as Trig on a Grid, Exponential Graphs, Transformation. Students find these new concepts hard to adapt and comprehend. The toughest unit for MHF4U is double angle formula which appraoch to univesrity level difficulty. Beside this, logarithm is challenging, as well as the asymptote concepts under Rational Functions.
Application / Thinking Problems Application / Thinking problems can get very tricky. Students need to learn problem solving skills. These are not one way going through a series of steps to get an answer. Students need to learn how to dissect a problem and how to combine formulas to get to the final answer. The biggest challenge for Application / Thinking problems in MHF4U is knowing how to start. This requires an indepth understanding of the concept and a strong foundation - meaning that the student can recognize patterns on a problem and know what technque to unlock that problem.

QEA expert advice to achieve high grades in Math

Expert tips from QEA PhD tutors and OCT teachers

Amjad M. - PhD candidate Western University

- Advanced Functions & Calculus Specialist

Amjad is a PhD candidate at Western University, with 4 years of university teaching experience at Western and University of Toronto as a TA, and over 500+ hours of high school tutoring experience at QEA

Select Course to Get QEA Expert Advice

Grade 7 and 8 Math - QEA Expert Study Tip to achieve higher grades

The challenges

Grade 7 and 8 are critical years preparing for grade 9. One key challenge is that students lack awareness of how difficult grade 9 is, and didn't prepare enough.

Foundation gaps in grade 7-8 years will drag the student in his / her high school years.

QEA Insights and Strategies

Tip: Strengthen foundation skills and regularly practice math. Have a routine.

Key foundation topics: Integers, Fractions, Algebra, Word Problems

For students in grade 7 and 8, the demand from school tests and homework are minimal.

Therefore, the student need to chart ahead and setup his / her own routine for regular practice. It is important for students to learn ahead in the foundation area of integers, Algebra and Word Problems. This will ensure a smooth transition to high school.

Grade 9 and 10 Math - QEA Expert Study Tip to achieve higher grades

The challenges

Grade 9 and 10 are foundation years. Students who didn't prepare well in elementary school will become to face issues. In addition, teacher marks harder - grades are based on Knowledge, Application, Thinking and Communication. student lose track, he / she will lose confidence and spiral down.

QEA Insights and Strategies

Tip: Strengthen foundation skills and regularly practice math. Have a routine.

Key foundation topics: Linear Systems, Quadratics, Trigonometry, Factoring

Grade 9 and 10 Math suddenly gets a lot harder, because concepts are interconnected. For example, how does x intercept relates to the equation and the graph? Students need to understand deeper into these concepts, instead of just memorizing steps and formulas. It is advisible to construct a "big picture" diagram to map out the components and how to get from one to another. This is the QEA approach.

Grade 11 Math - QEA Expert Study Tip to achieve higher grades

The challenges

Grade 11 math is a significant jump from grade 10. It is preparing the student for Math 12 and calculus. A lot of new concepts are packed into this course, and therefore it can be overwhelming.

Students must learn problem solving skills to achieve beyond 80%

QEA Insights and Strategies

Tip: Don't memorize steps. Master the underlying logic to solve unseen problems.

Key foundation topics: Domain / Range, Trig, Exponents.

In Grade 11 Math (MCR3U), topics like Domain/Range, Trig, and Exponents become abstract. Instead of teaching repetitive procedures, QEA focuses on the mathematical "Why." For example, we don't just teach how to find an inverse function; we explain why it reflects over the line $y = x$. This conceptual depth transforms memorizers into high-90s problem solvers.

Advanced Functions - QEA Expert Study Tip to achieve higher grades

The challenges

Advanced Functions counts for most university applications. Students face challeges due to the foundations gaps from Math 11. The common gaps are factoring, algebra and quadratics. Students need to learn how to apply concepts to a variety of problems. Students struggle on tests - "blanking out" or "not knowing how to start". This shows a lack of understanding.

QEA Insights and Strategies

Tip: Review Math 11 Foundation. Apply concepts to a large variety of problems

Key foundation topics: Asymptotes, Graphing, Log, Trigonometry

For Advanced Functions, students first need to review the foundational skills from Math 11. QEA prepares such package for our students with 650 problems. Next step is to understand the "Why" behind each key concept. eg., Why is the numerator’s degree one higher for an oblique asymptote?

Once the student understands this, he / she can further reason the scenarios where the numerator degree is equal or lower. This will help the student to solve complex problems on tests.

QEA teaches students to understand, not memorize

Calculus - QEA Expert Study Tip to achieve higher grades

The challenges

Calculus combines all core foundation skills from grade 9-12 and wrap around complex calculus concepts.

Students with foundation gaps will lose a lot of marks. e.g. the first two steps on a calculus solution is new, but all the subsequent steps in simplifying the solution are based on the previous years.

QEA Insights and Strategies

Tip: Achieve solid foundation skills. Learn problem solving techniques on complex problems

Key foundation topics: Limits, Derivatives, Vectors

For Calculus, Make sure to pay special attention to the Optimization Unit in Calculus, which includes many word problems. 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.

Write down the steps clearly and understand the reasons behind each step. eg.

Why do you set y'=0 to find the max or min points, and why would y'' = 0 gives you the change in curvature?

FAQ

Why do Toronto students experience a mark drop in Grade 11 Functions (MCR3U)?

Answer: The leap from Grade 10 math to TDSB/TCDSB Grade 11 Functions introduces abstract concepts like transformed trigonometric functions and sequence series. QEA helps students bridge this gap before marks drop, securing the foundation needed for Grade 12.

How does QEA support White Oaks and St. Thomas Aquinas students in IB Math?

We provide specialized 1-on-1 coaching for IB Math Analysis & Approaches (AA) and Applications & Interpretation (AI), including guidance on structuring high-scoring Internal Assessments (IAs) and mastering Paper 1/Paper 2 exam strategies.

Do you offer targeted AP Calculus (AB/BC) tutoring for Abbey Park and Iroquois Ridge students?

Yes. Abbey Park and Iroquois Ridge feature competitive Advanced Placement tracks. We provide rigorous drill practice, AP-style free-response question breakdowns, and speed techniques to excel in AP exam scoring.

How do you handle the Grade 9 De-Streamed Math (MTH1W) curriculum in Halton schools?

MTH1W combines mixed skill levels, classroom instruction can leave gaps. QEA ensures students master core algebraic manipulation, linear relations, and coding-math extensions so they are fully prepared for Grade 10 Academic math.

What is your approach for Grade 12 Calculus & Vectors (MCV4U) test prep?

We break down vector proofs, 3D geometry, line/plane equations, and rate-of-change applications into structured problem-solving steps that align directly with TDSB unit assessment rubrics.

How does QEA prepare Toronto high schoolers for competitive university admissions like Waterloo and UofT?

High school marks alone aren't always enough. We focus on achieving 90%+ in MHF4U and MCV4U while simultaneously training students for Waterloo CEMC Math Contests (Euclid, Fermat) to strengthen their university Supplementary Applications.

What is the difference between TDSB and TCDSB math grading standards?

TDSB emphasizes Thinking & Application open-ended questions, while TCDSB often focuses heavily on cumulative unit tests and strict rubric criteria. QEA tailors session practice to match your specific school board’s marking system.

Do you tutor students attending private schools in Toronto like Appleby College or St. Mildred's-Lightbourn?

Absolutely. Private school curricula in Toronto often move at an accelerated pace or follow custom term schedules. Our tutors adapt directly to Appleby or SMLS course outlines and exam schedules.

Can we get 1-on-1 math tutoring tailored specifically to a student's Garth Webb or Holy Trinity teacher?

Answer: Yes. We track teacher-specific testing styles across Garth Webb, Holy Trinity, and Oakville Trafalgar, tailoring custom review sheets that mimic actual unit test structures.

How do you assist students struggling with Grade 10 Academic Math (MPM2D)?

MPM2D is a critical prerequisite for senior math. We focus heavily on quadratics, analytic geometry, and trigonometry, ensuring complete mastery before Grade 11.

Need more answers?
Est. 2010 | Queen Elizabeth Academy | Ministtry Accredited Private Tutoring School (BSID 882306)