Art of Sketching Linear & Quadratic Graph

Optimum Sequence of Learning

If a piece of music is well arranged, it will become a masterpiece. Similarly, the sequence of the topics to be learnt in A. Maths is critical and is usually overlooked by most people. I propose the following "arrangement" for student to learn A. Maths effectively:

1. Art of Sketching Linear and Quadratic Graph

2. Simultaneous Equations

3. Coordinate Geometry - Straight line

4. Further Geometry

5. Partial Frations

6. Quadratic Equations and Roots

7. Functions

8. Linear Graph

9. Factor & Remainder Theorem

10. Trigo - Basic Angle

11. Trigo - Advanced

11. Indices Law

12. Exponential & Logarithm

13. Basic Diffferentiations

14. Differentiation & Graph

15. Differentiation & Triogo

16. Differentiation & Ln

17. Small Changes

18. Rates of Change

19. Maxima & Minimum

20. Integration - Basic

21. Applications of Integration

22. Geometri Proofs

23. Matrix

The Art of Learning

There is NO secret to The Art of Learning, which is as below:

1. Be trueful to yourself that you have really understood the fundamentals or the basic principles of the topics.

2. A test as to whether you have understood the fundamentals or not is to ask yourself the questions below:
i. Would I be able to teach another person this topics?
ii. Can i write a 5 minutes summary which captures the gist of the topics

3. When you face a question which looks alien to you, ask yourself the questions below:
i. what topics does that question belong to ?
ii. recall the gist and summary of that topics
iii. ask yourself why certain information is given in the question? Just like pillars are needed to build the house, the information given is needed to build the solution to the question.