MCV4U
Course and Tutoring
Google Rating
4.9

Welcome to Queen Elizabeth Academy, providing MCV4U Course and Tutoring, for you to excel at grade 12 Calculus and Vectors. Our course instructors and tutors have deep experience in MCV4U course / calculus and vectors, for you to understand the concepts and be able to tackle application / thinking problems, which many students lose their marks.

MCV4U Course - Grade 12 Calculus and Vectors

MCV4U Course / Grade 12 Calculus is a key grade 12 course for students going into business, science and engineering. This course contains two parts, one with derivative and the other with vectors. If you want to do well in this course, your foundation skill must be improved with a deep understanding of the concept. We teach both in our tutoring / course program.

Pre-Requisite:
The new Advanced Functions course (MHF4U) must be taken prior to or concurrently with Calculus and Vectors (MCV4U)
Grade:
12 (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)

Ministry of Education curriculum and policy:
https://www.edu.gov.on.ca/eng/curriculum/secondary/math1112currb.pdf

Credit
Course
MCV4U
Tutoring
MCV4U

Queen Elizabeth Academy offers MCV4U course as an online course or in person (subject to space availability). Our MCV4U 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 enrolMCV4U:
(905) 257 9009

Private MCV4U course | Calculus and Vectors

In Person, Classroom Lectures (Credit Course)
MCV4U
MCV4U
MCV4U
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 MCV4U
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.

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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...

MCV4U Calculus and Vectors
Private Credit Course Overview

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

MCV4U Calculus and Vectors - 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.

What is taking MCV4U Calculus and Vectors 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.

Tips to succeed in MCV4U Calculus and Vectors

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.

MCV4U Calculus and Vectors Unit Outline
Unit 1: Limits
MCV4U Topics covered:
  • Introduction to Limits
  • Finding Limit from Graphs
  • Limit Properties
  • Finding Limits Algebraically
  • Continuity
  • Rate of change and tangent line
Unit 2: Derivative
MCV4U Topics covered:
  • Introduction to Derivatives
  • Derivative Properties
  • Derivative Rules
Unit 3: Derivative Application (part 1)
MCV4U Topics covered:
  • Implicit Differentiation
  • Related Rates
  • Optimization
Unit 4: Derivative Application (part 2)
MCV4U Topics covered:
  • First Derivative and Critical points
  • Second Derivative and Points of Inflection
  • Curve Sketching
Unit 5: Vectors
MCV4U Topics covered:
  • Introduction to Vectors
  • Vectors Properties
  • Vector Addition
  • Forces and Velocity Word Problems
  • Vectors in 2D and 3D
  • Dot Product
  • Cross product
  • Scalar and Vector Projection
Unit 6: Lines and Planes
MCV4U Topics covered:
  • Row Reduction
  • Representation of Lines in 2D and 3D
  • Intersections of Lines and Planes
  • Intersection of Planes

MCV4U Calculus and Vectors Assessment and Final Exam
Assessments (Assignments, Tests) and Final Exams for MCV4U Calculus and Vectors
Assessments (Assignments, Tests, Term work 70%)

One Test and one assignment per unit

Final Exam (30%)

The exam is the final evaluation of MCV4U Calculus and Vectors. The final exam includes all the topics taught in MCV4U, covering all areas of evaluation: knowledge, application, thinking and inquiry, communications.

The final exam for MCV4U is 2 hours in length.

MCV4U Calculus and Vectors Report Card
Report card for MCV4U Calculus and Vectors

Mid term report will be issued when the student has completed 55 hours of lessons.

Final report card will be issued when the student has completed 110 hours of lessons including the final exam.

to enrolMCV4U:
(905) 257 9009

One on one private tutoring MCV4U course

In Person or Live online
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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
MCV4U Calculus and Vectors

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.

QEA prepares students to succeed in subject areas such as Math, English and Science. We have excellent online tutors in Canadian cities such as Toronto, Ottawa, Calgary and Milton. Students who have worked with us have developed good foundations in the area of Mathematics, Science and English.

The challenge for students for MCV4U 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!

MCV4U Calculus and Vectors and other courses

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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.
MCV4U
Ben T.
English Teacher
Teaches:  English grade 5 to 12

PhD Candidate, English literature

Writing Course Director, Guelph-Humber University 

MCV4U
Laura C.
MD Candidate
Harvard University

Queen Elizabeth Advisor

Designed Learning Strategies for our courses. 

MCV4U
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

MCV4U
Renuka R.
Math Tutor
Teaches:  Advanced Functions

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

MCV4U
Candy C.
Math Teacher
Teaches:  Calculus, Grade 9-12 Math

Certified Teacher, Mathematics.

6 years of university teaching experience as a TA

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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

QEA tutors are qualified in subjects including Math, Science, Chemistry and Physics. They teach students across Canada in cities such as Toronto, Ottawa, Calgary and Markham by helping them develop skills and build a foundation of learning to help them in the long run.

Google Rating
4.9
Thank you
Queen Elizabeth Academy!

Students from Calculus and Vectors MCV4U 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
MCV4U
Yohan B.
Wilfrid Laurier BBA
MCV4U
Will O.
Queen’s Engineering
MCV4U
Mark J.
Western Ivey
Google Reviews
Queen Elizabeth Academy | Private Credit Courses
mcv4u calculus vectors 25
4.9
Andrew Gallacher
4.9 Stars
I credit QEA for my entry into Western Engineering! Tutors/Teachers actually teach and care about ensuring students fully grasp the learning, their on-line group learning format far exceeds that in the public school system, numerous additional resources were available to set me up for success, and the school is very well run and organized. Thank you QEA!read more
Jamal Shihadeh
4.9 Stars
It was a pleasure and a turning points for my children education when they joined Queen Elizabeth's Academy. What really make this Academy different is the great attention given to students, they analyse carefully the strength and weakness of their student, they work on clear strategy to improve students performance and are very flexible to change strategy when needed. they worked patiently with my son and improved his performance to excellency. It is great how management and especially Mr. Victor follow up with us on my son progress , I received many phone calls and emails with updates, this tight follow up and advices we received resulted in huge difference in my son performance and his awareness to his education. I highly recommend QEA.read more
Nancy Eliou
4.9 Stars
My daughter decided to get a jump start to her last year in high school and decided to take the Gr 12 English summer course at Queen Elizabeth Academy. She had a great experience with Victor and her teacher Justin. Based on current circumstances classes were held virtually. Content was delivered in a professional manner, with group discussions and constant support throughout the course. I would highly recommend Queen Elizabeth Academy.read more
Connie Routhier
4.9 Stars
At a time when school had to be done differently, Queen Elizabeth Academy stepped up to the plate. During the initial change of school due to Covid my son was going to a public ally funded school and the most contact he had with his teachers was to read or watch something on-line and then do an assignment which he got a grade back but no feedback on what he did right or wrong. At Queensway academy my son has to sign on daily with his teacher and classmates ( small class size only 8 students) and she actually teaches a class. There is plenty of time for questions and my son gets feedback on his tests. Being at work I can’t monitor if my son actually signs on but there is great communication from the school. One day my son slept in and I got text and emails asking where my son was. They follow up quickly if you have any questions or concerns. I highly recommend attending here. Great learning happens here.read more
N Pais
4.9 Stars
My daughter Megan has had the opportunity to take grade 11 math and grade 12 advanced functions at queen Elizabeth Academy. She is registered for physics 12 in the fall. Due to the pandemic situation we have been very worried that our child is not going to get the foundations in math and science that she needs. Thanks to Victor and his team of highly qualified teachers our concerns have been alleviated. Megan has had the traditional in class model with QEA and has just finished up with an online platform. Both have been great and I am confident that Megan is now prepared for university. I truly believe that the public school system of distance learning cannot do what Victor and his team have done for my daughter. She has been prepared for success as a direct result of professional teaching methods that work.read more
Hyeja Otsuki
4.9 Stars
Have had nothing but positive experience with QEA for my 2 kids. We have taken both credit courses and some tutoring as necessary. Private credit courses were mainly grade 12 English over the summer and grade 12 math courses throughout the fall semester in the evening. I have heard quite a bit about private credit courses offered by other schools that are not as through and almost too easy for students to get high average. Courses at QEA are well laid out and very extensive to make sure they provide good foundations for post secondary education.
Victor is excellent at communicating with parents and students and he is also very good at listening and acting on everyones feedback. Highly recommend QEA!!read more
quan van
4.9 Stars
My son took a summer class from Queens Elizabeth Academy to improve his ability to do math. During this month, I can see a huge improvement because his mindset of learning and practicing his math skills are incredible. Huge thank you to Queens Elizabeth Academy for helping my son and helping his learning abilities.
Jasmine Duong
4.9 Stars
My brother has enjoyed his tutoring immensely, and the tutors were kind and attentive throughout the quick paced overall tutoring period. Would definitely recommend QEA to anyone looking for summer tutoring.

FAQ for MCV4U course

How can MCV4U 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 MCV4U 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 MCV4U?

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.

What is MCV4U?

MCV4U is a Grade 12 University preparation level course for Calculus and Vectors.

What course is MCV4U?

Course description: This course builds on your previous experience with functions and your developing understanding of rates of change.

University
Admission
Tips

Admission Requirements Summary
Admission Requirements Summary. Major university programs. (Grade cut off, Admission essay etc.)
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How to Get into the
Top Universities?
How I got into my top choice universities?
by QEA student alumni
mcv4u calculus vectors 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]

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Colin H.
Admitted to
Queen’s Commerce
former QEA student

In Grade 12, 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
mcv4u calculus vectors 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. [...to be continued]

mcv4u calculus vectors 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 [...to be continued]

email to:
vlee@QETutoring.com

to receive a FREE University Admission Support Package

Study
Tips

MCV4U
by Yun C.
MD-PhD,
Harvard University
QEA advisor

Building Academic Success Step by Step

How to Increase Test Performance

How to Avoid Careless Mistakes on Tests

MCV4U
by Sam A.
BSc. graduate,
Queen’s University
QEA student
alumni

What Parents can do to Help Students In this Pandemic

Self Learning during a Pandemic Shutdown

MCV4U
by Jessica K.
Master in English
literature
Queen’s University
QEA English teacher

How to Write a
Book Report

Find Queen Elizabeth
at your neighbourhood

*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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Queen Elizabeth
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Queen Elizabeth Academy:

Unit 5, 1020
Johnson’s Lane
Mississauga. ON.

(905) 257 9009