Additional Maths Module 1 Lesson 4

Hi Students! Today makes the end of our Additional Maths Module 1. I hope you have enjoyed your stay with us. The topics covered during this lesson are:

1.)Coordinate Geometry
2.)Linear Law

For Coordinate Geometry, do remember the following formulae:

• Distance between 2 points
• Mid point between 2 points
• Gradient of line joining 2 points
• Proving collinearity
• 3 ways to find the equation of a line
• Finding the equation of perpendicular bisector
• Finding the perpendicular distance
• Area of a polygon (shoelace method)
• Proving for parallelogram (using mid point formula)

Once you master them, you should be able to solve any Coordinate Geometry question!

For Linear Law, do remember the following:

• Converting a non-linear equation to a linear equation
• To find the gradient from the linear graph to solve for unknowns
• To find the Y-intercept from the linear graph to solve for unknowns.

That should be all. Please prepare for the Additional Maths Module 1 Exam on the 5th of July from 3pm-7pm. ( The paper will last 2hr 30min, explanation of the solutions will last 1hr 30min)

This is purely optional but I highly encourage students to attend it. If you have friends who are interested, please bring them to attend as well. No charges will be imposed for new comers.

Oh yes, remember to bring your stationary, calculator, long ruler! Ok see you guys!! =)

Additional Maths Module 1 Lesson 3

Yo Students! We have covered the following during lesson 3.

1.)Logarithms

2.)Exponential

3.)Modulus Functions

Let's not forget the common mistakes that we have gone through during the class. Please complete your homework and submit to me next lesson. See you then!

Additional Maths Module 1 Lesson 2

Yo Students! We have covered the following topics in Lesson 2:

1)Simultaneous Equations in Two Variables
2)Partial Fractions
3)Binomial Theorem

Pls do your homework and submit on the coming Sunday 21st Jun! See ya!

Additional Maths Module 1 Lesson 1

Yo students! I hope Lesson 1 had not been too boring! Ok, let us do a quick recap of the topics we had covered in Lesson 1:

1.)Quadratic Equations and Inequalities
2.)Surds and Indices
3.)Polynomials (Remainder and Factor Theorem)


Quadratic Equations and Inequalities
I am sure everyone remembers the "Discriminant" right?
Always remember that for an expression/curve/quadratic equation that is always positive, the parabola faces upwards (smiling curve) and will never cross/touch the x-axis, which means no roots (imaginary roots) Therefore...

For an expression/curve/quadratic equation that is never negative the parabola faces downwards (frowning curve) and it may either cut the x-axis at two distinct points or just touch the x-axis at one point. This means that it may have 2 distinct roots or repeated roots. Therefore ...

As for the Alpha/Beta section, things to note when solving such questions:

• Find the coefficients of the quadratic equation (a,b,c)
• Find the sum of roots.
• Find the product of roots.
  

You will be asked to find the new roots,which you will need to manipulate the equation to the original sum and product of roots. By substituiting them, you will get the new sum and product of roots. Following that always remember that you must an additional minus sign (-) for the new sum of roots for the new equation. That should solve the question. =)

Surds and Indices
Remember the law of indices on page 19 of the course book....
For surds, rationalising the denominator will be common and always remember the following:

Polynomials (Remainder and Factor Theorem)

For solving of cubic equations, do you remember how to use the equation mode in the calculator? Under Mode, choose Eqn. Choose 3. Plug in the values of a,b,c,d. Press “=” and you will get all the 3 roots. Use the first root as the factor and perform long division. From there, you will be able to factorise the quadratic equation.

Thats all for now! See you in Lesson 2!!!

Cambridge O Level Question 2002Q1

A curve has gradient ,

at point (x, y). Given that the curve passes through the point (0,3), find the equation of the curve.

Answer:
We need to integrate the equation of gradient in order to find the equation of the curve.

How to practice more A-Maths questions in shortest time.

Often, when the exam is coming soon, students will encounter a problem while trying to practice more questions.

Below are a few tips to practice more questions in short period:


1. Do more challenging questions first.

• Normally, in an assessment book, the easier questions come first, followed by the tougher question. If the assessment book is in topical format, you may try the last question, normally denoted with a *, or highlighted by the book. If you are comfortable in solving a few of such questions, you may proceed to do another topic.

2.Think, with no writiing.

• It maybe very time consuming if you want to write down all the steps and working to get the answer. Furthermore, normally students are facing the problem of understanding the questions during exam, rather than don't know certain topic. Hence, this is to practice the students on understanding the question pattern and hence help in solving question in shorter time.

3.Learn beyond scope.

• Normally, experience help when solving question. If the scope of learning is only to know how to solve simple questions, find more challenging questions to do. It will not be a waste to know more than current scope, as eventually students will learn it in higher level, however, keep in mind that, if we know how to solve the questions of higher level, normally to solve lower level questions will not be tough.
  

4.Practice, Practice, and Practice

• Although we have summarize on how to practice more effectively, practices are still something that must not be missed. Students need to do a lot of practices, to prepare for the high tension environment during exam. For students with more practices, normally the questions will be solved with ease.
  

All the best for the coming exam. In Flexi Tuition Learning Group website, we will keep posting questions , some with answers to help students in preparing for the exam.:

For E-Maths:
http://ftemaths.blogspot.com/