TDSB
Summer School
Queen Elizabeth
Academy

Math TDSB Summer School | High School Credits

The Queen Elizabeth Standard on Academic Excellence
Summer High School Credits that builds foundation and enable students to achieve higher

Queen Elizabeth Academy is a premier education facility providing high-quality academics for our students. We focus on building a sound foundation for our students preparing for successful entry to top universities.

Over the past 9 years, we worked with thousands of students, many of whom were admitted to top universities: Waterloo, Queen’s, Western, Laurier, and McGill, with scholarships from $2,000 to $23,000.

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.

Subjects for Math TDSB Summer School

Summer
School
Advanced
Functions
Summer
School
Chemistry 12
Summer
School
Physics 12
Summer
School
English 12
Summer
School
Math 11
Summer
School
Chemistry 11
Summer
School
Physics 11
Summer
School
Math 10
Summer
School
Math 9
Summer
School
English 11
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Browse this page - Math TDSB Summer School

Inquiry for Math TDSB Summer School: +1 (365) 800-3775

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When does summer school starts 2024?

Summer school at QE starts on July 2nd, 2024 to July 29th. We run a full month of classes, Mon to Friday, 9.00am to 2.30pm.

During this month, you can focus on doing one subject only, and this will increase your performance and score better.

When does summer school starts 2024 - Time Table?

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Math TDSB Summer School
How our lessons are conducted?

Math TDSB Summer School - In Person, Classroom Lectures

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TDSB summer School
TDSB summer school

Math TDSB Summer School - Experience our Online Live Teaching

Math TDSB Summer School: Benefits to Students

1. Small Class Sizes

To maintain the quality of our summer school lessons, class size is limited to a maximum of 9 students, giving our summer school students the opportunity to ask questions throughout an on going lecture

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2. Step by Step
Explanations
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Our focus in our summer school 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
Foundations:

For our students who are applying to universities, building a better foundational knowledge is key to success. This is achievable given the focus in our summer school, with only one single subject for the student.

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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. Our summer school students can clarify any misunderstanding.

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Success
Stories

Success Stories

Congratulations to Stephanie L., who ranked Top 15 in Canada selected by University Hub.

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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)
  And more...
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Jerry T.
Admitted to Queen’s Commerce
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Taylor W.
Admitted to Western Medical Science
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Sam A.
Admitted to Queen’s Science Honours

Our Math tutor can help you to achieve success in your Math courses

Success of QEA alumni

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Mark J.
Investment banking analyst
Conaccord Genuity
Graduate of Western Ivey
QEA student alumni
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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
chemistry tutor Cambridge
Dilina L.
Corporate Lawyer
Graduate Queen's Law School
QEA student alumni
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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
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Sam A.
MD Candidate
University of Queensland
Graduate of Queen’s University
QEA student alumni
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Meet our
Teachers

Math TDSB Summer School

Amjad M.
Calculus Teacher
Graduate with Master degree of Mathematics University of Toronto. Employed by U of T to teach calculus tutorial as TA.
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
Chris L.
QEA Physics Tutor
Chris is our physics tutor, explaining his approach in teaching physics. Chris is going to John Hopkins University this fall studying PhD in Physics
Dev D.
QEA Biology and Chemistry Tutor
Dev is graduated with a science degree at York University, currently enrolled in dental school. Dev has been working with QEA for 4 years.
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Ben T.
English Teacher
Teaches:  English grade 5 to 12

PhD Candidate, English literature

Writing Course Director, Guelph-Humber University 

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Laura C.
MD Candidate
Harvard University

Queen Elizabeth Advisor

Designed Learning Strategies for our courses. 

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

PhD Candidate, University of Toronto

Taught university mathematics tutoring classes for 2+ years

QEA Math TDSB Summer School - in Action!

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Stay on top

Since summer school runs rather quickly, it is important to organize your time well, so that you don't fall behind In summer school, you will expect to have a test every 3 days. There is no gap between the last day of class and the exam. Therefore, it is imperative for you to stay on top daily.

Organize your time

Dedicate 1 to 1.5 hour each day after class, to review your notes. This will help you to stay on top. In addition, practice as if you will get a test tomorrow on the new materials. Do your reading (if you are taking English) ahead of time, such as Shakespeare or the novel.

Maximize your learning during class

It is important to listen attentively, take notes, so that you will learn most of the materials in class. Since summer school runs quickly and your duration of the day is 5 hours. It is important to utilize that time effectively. Try to understand the concepts in class, do practice and ask questions.

Preparing for tests

Keeping on top is important, so that you are always ready for tests. Practice daily. On the day before the test, you need to review your own study notes / notes taken in class, and practice a variety of questions Label questions under type 1, type 2, type 3 etc., and this will help you organize your knowledge and avoid getting confused. On concepts, try write out the concepts in your own words, and this will facilitate your understanding of the materials.

Math TDSB Summer School FAQ

What is Summer School in TDSB?

Summer school in TDSB is an educational program offered during the summer months for students to continue their learning, catch up on credits, or explore new subjects. It provides a variety of courses and opportunities for academic growth.

When does Summer School in TDSB typically start and end?

The start and end dates for summer school in TDSB can vary from year to year and between schools. It usually begins in July and runs for a duration of several weeks, typically ending in early August.

Who can attend Summer School in TDSB?

Summer school in TDSB is open to students of all ages, including elementary, middle, and high school students. It's also available for adults looking to further their education.

What courses are offered during Summer School in TDSB?

Summer school programs in TDSB offer a wide range of courses, including core subjects like mathematics, science, English, and social studies, as well as elective courses. The specific courses available may vary by school and grade level.

How can I enroll my child in Summer School in TDSB?

To enroll your child in summer school, you typically need to contact your local school board or the school your child attends during the regular school year. They will provide information on registration, available courses, and deadlines.

Are there any fees associated with Summer School in TDSB?

The cost of summer school in TDSB can vary depending on the school board and the courses selected. Some courses may be free, while others may have a fee. Financial assistance may be available for eligible students.

What are the benefits of attending Summer School in TDSB?

Summer school can help students catch up on missed credits, improve their grades, or explore new interests. It can also provide a structured and supportive learning environment during the summer break.

Can students earn credits during Summer School in TDSB?

Yes, students can earn academic credits for successfully completing courses in summer school. These credits are typically recognized by the school board and can count towards graduation requirements.

Are online Summer School options available in TDSB?

Some school boards may offer online summer school options, allowing students to complete courses remotely. This can provide flexibility for those who cannot attend in-person classes.

How can I find more information about Summer School in TDSB?

For more information about specific summer school programs in TDSB, including registration details, course offerings, and contact information, you can visit the official website of your local school board or contact your child's school directly.

What course should I take in TDSB summer school?

English 11 and 12 are the most popular summer school credits. These two courses are heavily loaded. By completing these courses in summer school, you can lighten your workload significantly in the school year, allowing you to focus on the math, science and other critical courses for university application

Advanced Functions, Physics and Chemistry are also viable choice. if you want to focus on one single subject and optimize the performance, these important credits are good options.

Do universities discount students taking summer credits?

Not from our experience or any QE students. We have been running summer credits for 9 years and our students have successfully entered Waterloo engineering, Queen's Commerce, McMaster life science, Western Ivey AEO, Wilfrid Laurier BBA and other top schools.

Will I do better in TDSB summer school?

To achieve good grades, hard work pays off. You need to work hard regardless of when you are taking the course, summer or regular school year. The key benefit of taking courses in the summer, is that you can focus on one subject only. From our experience, our students achieve higher in the summer. The other reason is that you are not under as much stress, and in a more peaceful mindset, students can perform better.

Why should I take TDSB summer school?

The most popular reason is to fast track. A lot of our students fast track and get the credit done ahead of time. The other reason is to catch up. Students who did not perform well during the school year may consider taking a summer school / retake the course to strengthen the foundation and offer them a fresh start in the fall. You may also consider taking academic math (11) or advanced functions in the summer, if you have completed the mixed math program during the school year. In this year, you are caught up and can have a great fresh start in the fall.

How long is summer school in TDSB?

Civics (CHV20Z) and Careers (GLC2OZ) will run concurrently for the 20 days of Summer School at all online sites.

Is there summer school in Ontario?

Summer school courses in Ontario usually have a duration of four weeks and are conducted for about half of the regular school day.

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How to get high marks in Math Summer School?

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How to get high marks in Math 11 Summer School (MCR3U)?
- Math TDSB Summer School

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 pathe 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
From our Math TDSB Summer School

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
From our Math TDSB Summer School

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 TDSB Summer School: +1 (365) 800-3775

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How to get high marks in Advanced Functions (MHF4U)?
- Math TDSB Summer School

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
From our Math TDSB Summer School

It would be a good idea, before the beginning of Advanced Functions, to brush up on the foundations 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
From our Math TDSB Summer School

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 TDSB Summer School: +1 (365) 800-3775

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How to get high marks in Calculus (MCV4U)?
Math TDSB Summer School

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
From our Math TDSB Summer School

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
From our Math TDSB Summer School

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 TDSB Summer School: +1 (365) 800-3775

Inquiry:

Study effectively
with QE Math TDSB Summer School

Enhance your study with QE Math TDSB Summer School

How do you study more effectively with our Math tutoring in TDSB? The key lies in a good team work with our math tutors in TDSB. QE will provide good lessons so that you can understand the concepts. This will give you a boost in your confidence. But remember, if you want to excel math, merely getting good math tutoring lessons isn’t enough. You need to spend time and practice. This consistent effort that you put in will distinguish you from a top student and an average student.

Inquiry for Math TDSB Summer School: +1 (365) 800-3775

How to get the most out of QE Math TDSB Summer School

Math TDSB Summer School

1. Read ahead

It is important for you to know what you don’t know. This involves reading ahead before the tutoring session. Our Math tutors in TDSB will explain to you the concepts during our lessons and attempt to find out your gaps. However, it will be very effective if you know your gaps ahead of time. All our top students do that, they read ahead, circle on the parts they don’t understand, and seek clarifications right away.

Inquiry for Math TDSB Summer School: +1 (365) 800-3775

2. Make your own study notes

After the sessions in our Math tutoring in TDSB, we advise you to write your own notes. To start off, you can screenshot your lessons our math tutors in TDSB write on screen, when it’s conducted online. You can then organize it. From our lessons, read over the textbook and try out the practice questions. You can then summarize in your own words, with the example questions you attempted. Why not just rely on QE math tutor’s notes? Yes you can do this, but you can understand much better if you summarize them in your own words, and you can apply better on tests.

Inquiry for Math TDSB Summer School: +1 (365) 800-3775

3.How to manage your time better with QE Math Tutors in TDSB?

Time management is a key to your success, especially when you enter senior high school grades. The key to time management is to dedicate a time that you can put 100% of your efforts in your studies. We recommend you to use a calendar, so you can visualize your plan.

All our top students do this. You can pencil down a dedicated time, say Mon to Fri 5-6pm, for math, or other subjects. During this time, you take out all the distractions - turn off your phone, wifi, and focus solely on your work. You want to dedicate 100% of your effort to your work. QE Math tutors in TDSB will provide you with homework, plus you get the ones from your school. Therefore, you time in making your own study notes and practice through the homework is important.

Inquiry for Math TDSB Summer School: +1 (365) 800-3775

Any tips from QE top students - with QE Math tutors in TDSB?

Here are two interviews that we conducted with Caroline (admitted to Cornell University, Engineering) and Madhavan (admitted to university of Michigan, neuroscience program).

You can get a lot of good tips from them! The key is not just listening to them, but to start using it!



Caroline C.

Admitted to: Engineering at Cornell University

Inquiry for Math TDSB Summer School: +1 (365) 800-3775

If I am doing poorly, how can I use the help from QE Math tutoring in TDSB?

If you aren’t performing well in the subject, chances are you have foundation gaps. The first step is really to address your foundation gaps. That’s also one of the focus on QE Math tutors in TDSB. Once we discover your gaps during the tutoring session, we will re-teach you that particular component. Take an example, a lot of grade 11 and 12 students struggle with factoring, that’s one of the common foundation gaps. We will then re-teach it. Now, once you understand how to perform it, you need to practice at least 10-15 questions, so it sinks with you.

The next step is to review the lessons after the tutoring session. The best way is to write your own study notes. Then you need to practice homework problems. If you do all these 3 things, you will see measurable improvements from QE Math tutoring in TDSB.

Inquiry for Math TDSB Summer School: +1 (365) 800-3775

If I am doing well, and want to achieve higher to enter the top universities, how can I use QE Math tutoring in TDSB?

QE have such good track records, on our students to Waterloo, Laurier, Queen’s, Western and McGill. We know the process and what it takes. To maintain a good grade, you need to schedule dedicated time to your study. Practice is really key. QE Math tutors in TDSB will provide you with good lessons and if you are already achieving 80%+, then we will focus on the tough, application / thinking problems. The challenge for these types of problems is that your teachers always change the questions on tests. It is imperative for you to practice a variety of problems, and with the explanation from QE tutors in TDSB, you will understand how to apply your knowledge on tests.

Keep in mind that, if you are aiming for the top schools, they are very competitive. You need to always keep up the work, and with the support from QE Math tutors in TDSB - You can do it!

Inquiry for Math TDSB Summer School: +1 (365) 800-3775

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Our Approach of Tutoring for students in TDSB

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 TDSB and 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 students alumni had build strong foundation, which had helped them to pursue their science career in university.  Many of our students 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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Find Queen Elizabeth Academy
- Summer School at your neighbourhood

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

Inquiry for Math TDSB Summer School: +1 (365) 800-3775

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Course
Description

with Math TDSB Summer School

Math TDSB Summer School

Curriculum of the main courses

ENG4U English
Math TDSB Summer School
Overview

MHF4U Advanced Functions
Math TDSB Summer School
Overview

MCR3U Functions
Private Credit Course Overview

SCH3U Chemistry
Math TDSB Summer School
Overview

SPH4U Physics Grade 12
Private Credit Course Overview

SCH4U Chemistry Grade 12
Private Credit Course Overview

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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 Prinicple of Mathematics

Grade 9 Math Summer School Tutoring TDSB Curriculum

Unit 1. Numeracy and Number Sense - Math Summer School Tutoring TDSB

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

Unit 2. Polynomials - Math Summer School Tutoring TDSB

  1. Exponent Laws
  2. Polynomials
  3. Distributive Property

Unit 3. Equations - Math Summer School Tutoring TDSB

  1. Simplifying Expressions and Solving Equations
  2. Algebra

Unit 4. Linear Relations - Math Summer School Tutoring TDSB

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

Unit 5. Measurement and Geometry - Math Summer School Tutoring TDSB

  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 Summer School Tutoring TDSB Curriculum

Unit 1. Quadratic Relations - Math Summer School Tutoring TDSB

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

Unit 2. Analytic Geometry - Math Summer School Tutoring TDSB

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

Unit 3. Trigonometry - Math Summer School Tutoring TDSB

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

Unit 4. Polynomials and Factoring - Math Summer School Tutoring TDSB

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

MCR3U. Grade 11 Functions

Grade 11 Math Summer School Tutoring TDSB Curriculum

Unit 1. Exploring Functions - Math Summer School Tutoring TDSB

  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 - Math Summer School Tutoring TDSB

  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 - Math Summer School Tutoring TDSB

  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 - Math Summer School Tutoring TDSB

  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 Summer School Tutoring TDSB Curriculum

Unit 1. Polynomial Functions - Math Summer School Tutoring TDSB

  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 - Math Summer School Tutoring TDSB

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

Unit 3. Trigonometric Functions - Math Summer School Tutoring TDSB

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

Unit 4. Logarithmic Functions - Math Summer School Tutoring TDSB

  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 Summer School Tutoring TDSB Curriculum

Unit 1. Vectors - Math Summer School Tutoring TDSB

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

Unit 2. Vector Applications - Math Summer School Tutoring TDSB

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

Unit 3. Lines and Planes - Math Summer School Tutoring TDSB

  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 - Math Summer School Tutoring TDSB

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

Unit 5. Derivative Rules - Math Summer School Tutoring TDSB

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

Unit 6. Curve Sketching - Math Summer School Tutoring TDSB

  1. Functions' Increasing/Decreasing Intervals
  2. Asymptotes
  3. Optimization
  4. L’Hôpital’s Rule
  5. Related Rates
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Teaching/Learning Strategies - Math TDSB Summer School

  • 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

CONSIDERATIONS ON PROGRAM PLANNING

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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