Many students use the words “And/Or” indiscriminately in solving inequalities. However, there is a very important difference. ‘And‘ means you take the intersection of the solutions sets. ‘Or‘ means you take the union of the solutions sets.
Example
For the composite function fg,
To find the range of the composite function, there are 3 approaches
Method 2 (Only for strictly increasing or decreasing function)
Since both function g and f are strictly increasing, we can deduce the range in the following manner:
Method 3
Determine the range based on the rule and domain of the composite function
Using the same f and g definition above,
http://www.h2maths.webs.com/ is a good website.
H2 math student can use it to help them understand transformation of graph
The website also help students in visualising topics such as
1. Sampling
2. Solids of revolution
3. Vectors
Meditation can benefit the students in the following ways:
Where to learn meditation?
If students don’t mind attending meditation in a Buddhism enviroment, they can attend this good course near Aljunied MRT.
http://www.fpmtabc.org/education_beginners.php
The course is free
1. Achieve a deep understanding of the concepts. Understand the ‘how’ or ‘why’ the concept is such, instead of memorizing the steps.
2. Practise a few routine or basic questions to build foundation, speed and accuracy.
3. Attempt challenging or a variety of problems. Instead of doing all the questions in the practice paper, you can attempt only those that are challenging or different.
4. Compare your solution with the solution provided. Is it correct and as elegant as the provided solution? Can you think of alternative solutions?
5. Produce your own summary notes which can be used for quick revision. It is like producing your own secret manual after all the training and challenges.
6. Teach your peers. The more you teach others, the better you become.
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