Grade 7 Mathematics in Canada

(Course development is still in progress, 90% completed.)

Course development is still in progress.

We are dedicated to help you succeed in your math learning, and prepare you with a solid math foundation to go through challenges in high school programs.

This is a self-directed learning website. Also, it can work perfectly with teachers helping students to learn math effectively by using the Blended Model of Learning. That is the integration of school learning and the watching of video enrichment on the web after class. In addition to getting benefit from the content of learning materials, students can experience the way of managing their progress in learning. The learning materials in the website are developed by two experienced teachers with Master’s Degrees in relevant fields. One completed the Master of Education program (2015) at Brock University (St. Catharines, Ontario, Canada). Another one earned the Master’s Degree of Science (2006) at The Chinese University of Hong Kong. The tutoring videos are always available to help students whenever they need. Mobile phones, tablets and desktop computers work smoothly with the website.

We create learning videos based on the Ontario Curriculum (Mathematics) with necessary updates to meet the present learning needs of the topics. Education theories are integrated with the most current information technologies in our video production. The course contents are divided into 4 categories:

1. Teaching sections: Introduce mathematics knowledge on the topics with examples and their relevant applications in real-life situations.

2. Exercises: Reinforce students’ understanding and their application of the concepts.

3. Video-solutions for the exercises: Allow students flexibility to select any question number to watch the step-by-step video-solution.

4. Numerical answers for the exercises: Help students to check their answers quickly.

Additional supports:

1. Teacher’s Notes: We have Teacher’s Notes at the beginning of each chapter to provide a high level summary of the video content of the chapter using the screenshots from the learning videos. It is the condensed version of the mathematics videos in a written format.

2. Visual Notes: Visual Notes can be found under each video. Students or teachers can read the high level summary contents of the videos within a minute.

They are very helpful for review and preparation before quizzes and examinations.

About the instructors

Ms Lau: Experienced Teacher (BSc, Dip Ed, MSc)
Mr. Lau: Experienced High School Teacher (BSc, Dip Ed, Dip C Sc, MEd)
Ida Lau and Silver Lau

Ms. Lau is experienced in teaching Mathematics from junior grade to high school mathematics.

“Mr. Lau is a caring and capable teacher of the highest calibre. He works diligently and efficiently. He has made immense contribution to the implementation of information technology in school. He was well-liked and respected by colleagues and students alike.”

Mr. T.M. Yung

Former Principal of CCC Kei Heep Secondary School

"Mr. Lau was a student in my Master’s of Education class, The Challenges of Educational Leadership, at Brock University in the fall of 2014. In that class of international students Mr. Lau was one of the top students. He brought a maturity and a wealth of experience to the class and was able to use that experience to deepen his understanding of the key concepts of the course ....

In addition, I worked with Mr. Lau on an Independent Study course in the Spring term, 2015. Once again his work was of high quality and he enjoyed exploring new sources of information and translating research into defensible educational practice. .... He has the ability to listen carefully and then ask good questions which take a task to another level of exploration and implementation. His classmates enjoyed working with him as he raised the performance of the groups he worked with. I especially liked how he put course ideas into practice."

Dr. John M. Novak

Professor of Education (Emeritus)Brock University

Course Contents

1. Teacher's Notes 01
2. Unit 1.1 (Introduction to Directed Numbers)
3. Unit 1.1.1 (Directed Numbers)
4. Unit 1.1.2 (Number Line)
5. Exercise 1.1
6. Unit 1.2 (Addition and Subtraction of Directed Numbers)
  FREE PREVIEW
7. Unit 1.2.1 (Addition and Subtraction of Directed Numbers with brackets)
8. Unit 1.2.2 (Rules for Addition and Subtraction of Directed Numbers)
9. Exercise 1.2
10. Unit 1.3 (Multiplication and Division of Directed Numbers)
11. Unit 1.3.1 (Rules for Multiplication and Division of Directed Numbers)
12. Unit 1.3.2 (Arithmetic of Directed Numbers)
13. Exercise 1.3
14. Beauty of Math: Amazing Math
1. Exercise 1.1 (numerical answer)
2. Exercise 1.1 (video-solution)
3. Exercise 1.2 (numerical answer)
4. Exercise 1.2 (video-solution)
5. Exercise 1.3 (numerical answer)
6. Exercise 1.3 (video-solution)
7. Beauty of Math: Amazing Math (video-solution)
1. Teacher's Notes 02
2. Unit 2.1 (Introduction to Algebra)
3. Unit 2.1.1 (Representing Numbers with Symbols)
4. Exercise 2.1
5. Unit 2.2 (Algebraic Expressions)
6. Exercise 2.2
7. Unit 2.3 (Representing Algebraic Expressions)
8. Exercise 2.3
9. Unit 2.4 (Method of Substitution)
10. Exercise 2.4
11. Unit 2.5 (Multiplication and Division of Algebraic Expressions)
12. Exercise 2.5
13. Unit 2.6 (Terms of Algebraic Expressions)
  FREE PREVIEW
14. Unit 2.6.1 (Addition and Subtraction of Algebraic Expressions)
15. Exercise 2.6
16. Unit 2.7 (Addition and Subtraction of Algebraic Expressions with Brackets)
17. Exercise 2.7
18. Unit 2.8 (Distributive Law)
19. Unit 2.8.1 (Examples on Distributive Law)
20. Exercise 2.8
21. Diophantus's Riddle (Part of Solution)
22. Beauty of Math: Alphabetic Operations
23. Beauty of Math: Alphabetic Operations (video-solution)
1. Exercise 2.1 (numerical answer)
2. Exercise 2.1 (video-solution)
3. Exercise 2.2 (numerical answer)
4. Exercise 2.2 (video-solution)
5. Exercise 2.3 (numerical answer)
6. Exercise 2.3 (video-solution)
7. Exercise 2.4 (numerical answer)
8. Exercise 2.4 (video-solution)
9. Exercise 2.5 (numerical answer)
10. Exercise 2.5 (video-solution)
11. Exercise 2.6 (numerical answer)
12. Exercise 2.6 (video-solution)
13. Exercise 2.7 (numerical answer)
14. Exercise 2.7 (video-solution)
15. Exercise 2.8 (numerical answer)
16. Exercise 2.8 (video-solution)
1. Teacher's Notes 03
2. Unit 3.1 (Constructing Linear Equations)
3. Exercise 3.1
4. Unit 3.2 (Solving Equations)
5. Unit 3.2.1 (Examples on Solving Equations)
6. Exercise 3.2
7. Unit 3.3 (Solving Word Problems - Part 1)
8. Exercise 3.3
9. Unit 3.4 (Solving Word Problems - Part 2)
10. Exercise 3.4
11. Diophantus's Riddle (Final Solution)
12. Beauty of Math: How to work out the correct answer?!
13. Beauty of Math: How to work out the correct answer?! (Solution)
1. Exercise 3.1 (numerical answer)
2. Exercise 3.1 (video-solution)
3. Exercise 3.2 (numerical answer)
4. Exercise 3.2 (video-solution)
5. Exercise 3.3 (numerical answer)
6. Exercise 3.3 (video-solution)
7. Exercise 3.4 (numerical answer)
8. Exercise 3.4 (video-solution)
1. Teacher's Notes 04
2. Unit 4.1 (Fundamental Geometry)
3. Unit 4.1.1 (Point, Line and Plane)
4. Exercise 4.1
5. Unit 4.2 (Classification of Angles)
6. Unit 4.2.1 (Measurement of Angles)
7. Exercise 4.2
8. Unit 4.3 (Plane Figures and Areas)
9. Unit 4.3.1 (Areas of Triangle and Trapezoid)
10. Unit 4.3.2 (Area of Circle)
11. Exercise 4.3
12. Unit 4.4 (3D Figures)
  FREE PREVIEW
13. Unit 4.4.1 (Nets and Uniform Cross-section)
  FREE PREVIEW
14. Exercise 4.4A
15. Exercise 4.4B
16. Beauty of Math: Think More Deeply
17. Beauty of Math: Think More Deeply (video-solution)
1. Exercise 4.1 (numerical answer)
2. Exercise 4.1 (video-solution)
3. Exercise 4.2 (numerical answer)
4. Exercise 4.2 (video-solution)
5. Exercise 4.3 (numerical answer)
6. Exercise 4.3 (video-solution)
7. Exercise 4.4A (numerical answer)
8. Exercise 4.4A (video-solution)
1. Teacher's Notes 05
2. Unit 5.1 (HCF and LCM_1)
3. Unit 5.1.1 (HCF and LCM_2)
4. Exercise 5.1
1. Exercise 5.1 (numerical answer)
1. Teacher's Notes 06
2. Unit 6.1 (Review on Areas)
3. Unit 6.1.1 (Calculating Area)
4. Exercise 6.1
5. Unit 6.2 (Volume and Prism)
6. Unit 6.2.1 (Calculating Volume)
7. Unit 6.2.2 (Calculating Volume - Examples)
8. Exercise 6.2
9. Unit 6.3 (Total Surface Area)
10. Unit 6.3.1 (Total Surface Area - Example)
11. Exercise 6.3
1. Exercise 6.1 (numerical answer)
2. Exercise 6.1 (video-solution)
3. Exercise 6.2 (numerical answer)
4. Exercise 6.2 (video-solution)
5. Exercise 6.3 (numerical answer)
6. Exercise 6.3 (video-solution)
1. Teacher's Notes 07
2. Unit 7.1 (Laws of Indices_1a)
3. Unit 7.1.1 (Laws of Indices_1b)
4. Exercise 7.1
5. Unit 7.2 (Laws of Indices_2a)
6. Unit 7.2.1 (Laws of Indices_2b)
7. Exercise 7.2
8. Unit 7.3 (Exponent 0)
9. Unit 7.3.1 (Answers for Challenge Questions)
10. Exercise 7.3
11. Unit 7.4 (Algebraic Expressions and Polynomials)
12. Unit 7.4.1 (Values of Polynomials)
13. Exercise 7.4
14. Unit 7.5 (Like Terms and Unlike Terms)
15. Exercise 7.5
16. Unit 7.6 (Multiplication of Polynomials)
17. Exercise 7.6
18. Beauty of Math: Where does 0 come from?
1. Exercise 7.1 (numerical answer)
2. Exercise 7.1 (video-solution)
3. Exercise 7.2 (numerical answer)
4. Exercise 7.2 (video-solution)
5. Exercise 7.3 (numerical answer)
6. Exercise 7.3 (video-solution)
7. Exercise 7.4 (numerical answer)
8. Exercise 7.4 (video-solution)
9. Exercise 7.5 (numerical answer)
10. Exercise 7.5 (video-solution)
11. Exercise 7.6 (numerical answer)
12. Exercise 7.6 (video-solution)
1. Teacher's Notes 08
2. Unit 8.1 (What is Percentage?)
3. Unit 8.1.1 (Review on Fractions)
4. Unit 8.1.2 (Addition and Subtraction of Fractions)
5. Unit 8.1.3 (Multiplication and Division of Fractions)
6. Unit 8.1.4 (Fractions, Decimals and Percentage)
7. Unit 8.1.5 (Arithmetic of Percentages)
8. Exercise 8.1
9. Unit 8.2 (Relationship between Percentage and Portion)
10. Unit 8.2.1 (Examples on Percentage and Portion size)
11. Exercise 8.2
1. Exercise 8.1 (numerical answer)
2. Exercise 8.1 (video-solution)
3. Exercise 8.2 (numerical answer)
4. Exercise 8.2 (video-solution)
1. Teacher's Notes 09
2. Unit 9.1 (Reflectional Symmetry)
3. Unit 9.1.1 (Examples of Reflectional Symmetry)
4. Unit 9.1.2 (More Examples of Reflectional Symmetry)
5. Exercise 9.1
6. Unit 9.2 (Rotational Symmetry)
7. Unit 9.2.1 (Examples of Rotational Symmetry)
8. Exercise 9.2
9. Unit 9.3 (Transformation - Translation and Reflection)
10. Unit 9.3.1 (Transformation - Rotation)
11. Unit 9.3.2 (Transformation - Enlargement / Reduction)
12. Exercise 9.3
1. Exercise 9.1 (numerical answer)
2. Exercise 9.1 (video-solution)
3. Exercise 9.2 (numerical answer)
4. Exercise 9.2 (video-solution)
5. Exercise 9.3 (numerical answer)
6. Exercise 9.3 (video-solution)
1. Teacher's Notes 10
2. Unit 10.1 (Introduction to Coordinates)
3. Unit 10.1.1 (Cartesian Coordinate System)
4. Unit 10.1.2 (Examples of Cartesian Coordinate System)
5. Exercise 10.1
6. Unit 10.2 (Distance Between Two Points)
7. Exercise 10.2
8. Unit 10.3 (Area on the Cartesian Coordinate Plane)
9. Exercise 10.3
10. Unit 10.4 (Transformation - Translation and Reflection)
11. Unit 10.4.1 (Transformation - Rotation)
12. Exercise 10.4
13. Unit 10.5 (Polar Coordinates)
14. Exercise 10.5
1. Exercise 10.1 (numerical answer)
2. Exercise 10.1 (video-solution)
3. Exercise 10.2 (numerical answer)
4. Exercise 10.2 (video-solution)
5. Exercise 10.3 (numerical answer)
6. Exercise 10.3 (video-solution)
7. Exercise 10.4 (numerical answer)
8. Exercise 10.4 (video-solution)
9. Exercise 10.5 (numerical answer)
10. Exercise 10.5 (video-solution)
1. Teacher's Notes 11
2. Unit 11.1 (Congruence and Similarity)
3. Unit 11.1.1 (Properties of Congruent Triangles)
4. Exercise 11.1
5. Unit 11.2 (Constructing Triangles)
6. Exercise 11.2
7. Unit 11.3 (Conditions of Congruent Triangles_a)
8. Unit 11.3.1 (Conditions of Congruent Triangles_b)
9. Exercise 11.3
10. Unit 11.4 (Properties of Similar Triangles)
11. Exercise 11.4
12. Unit 11.5 (Conditions of Similar Triangles_a)
13. Unit 11.5.1 (Conditions of Similar Triangles_b)
14. Exercise 11.5
1. Exercise 11.1 (numerical answer)
2. 練習11.1 影片詳解
3. Exercise 11.2 (numerical answer)
4. 練習11.2 影片詳解
5. Exercise 11.3 (numerical answer)
6. 練習11.3 影片詳解
7. Exercise 11.4 (numerical answer)
8. 練習11.4 影片詳解
9. Exercise 11.5 (numerical answer)
10. 練習11.5 影片詳解
1. Teacher's Notes 12
2. Unit 12.1 (Introduction to Statistics)
3. Unit 12.1.1 (Data Collection)
4. Unit 12.1.2 (Categorization of Data)
5. Exercise 12.1
6. Unit 12.2 (Data Organization)
7. Exercise 12.2
8. Unit 12.3 (Statistical Chart: Bar Chart & Broken-Line Graph)
9. Unit 12.3.1 (Statistical Chart: Pie Chart)
10. Unit 12.3.2 (Statistical Chart: Stem-and-Leaf Plot)
11. Unit 12.3.3 (Statistical Chart: Scatter Plot)
12. Exercise 12.3
1. Exercise 12.1 (numerical answer)
2. 練習12.1 影片詳解
3. Exercise 12.2 (numerical answer)
4. 練習12.2 影片詳解
5. Exercise 12.3 (numerical answer)
6. 練習12. 3 影片詳解

About this course

$600.00
13.5 hours of video content
more than 280 files

What others have been saying about this course:

Visible progress

Teresa Lu

My daughter started this course 6 months ago as an Ontario Grade 6 student. Her recent progress report shows A+ in Maths, the first time ever. She is now mor...

My daughter started this course 6 months ago as an Ontario Grade 6 student. Her recent progress report shows A+ in Maths, the first time ever. She is now more confident in Maths, and more recognized as one of the leading students in her class.

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Very helpful!

Monica Lu

I started taking this course in Grade 6. At first, I found it tough and I couldn’t see myself using any of the information. But, as time went by, I was getti...

I started taking this course in Grade 6. At first, I found it tough and I couldn’t see myself using any of the information. But, as time went by, I was getting A pluses in my math classes which was really great to see. And now in Grade 7, I am learning these exact things in school. As I watch my friends around me struggle to learn these new concepts, I smile proud because I have a head start to this year and am the best in my class.

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