- 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.
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
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.
Complete Math Tutoring Programs in Toronto:
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.
Problem: What are the roots of the quadratic equation ?
Problem: What is the value of x in the equation ?
Problem: Which of the following is equivalent to ?
Problem: What is the domain of the function ?
Problem: What are all the solutions to the equation ?
| 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 |
Curriculums We Cover: Toronto’s Elite High School Math 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 Schools: Expert coaching for the International Baccalaureate Diploma Programme (DP) at Monarch Park Collegiate Institute, Parkdale Collegiate Institute, and Victoria Park Collegiate Institute.
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
Nikki V.
- Advanced Functions & Calculus SpecialistNikki 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 MathematicsKosal 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.
5 Essential Problem Types & Solved Examples
4 Rules of exponents
Rule 1: Multiply ➔ Add exponents
Rule 2: Divide ➔ subtract exponents
Rule 3: () of ➔ multiply exponents
Rule 4: negative exponent ➔ flip
Note that vs.
They are different. The first one is bracket of the bracket. The second one is multiplying two numbers together.
means
means
| 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 SpecialistAmjad 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
Grade 7 and 8 Math - QEA Expert Study Tip to achieve higher grades
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.
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
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.
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
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%
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
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.
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
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.
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
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.
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.
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.
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.
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.
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.
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.
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.
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.
MPM2D is a critical prerequisite for senior math. We focus heavily on quadratics, analytic geometry, and trigonometry, ensuring complete mastery before Grade 11.