singaporeolevelmathssketch | singaporeolevelmaths http://www.singaporeolevelmaths.com Simple Tips for Better Maths Results! Thu, 05 Jan 2012 14:02:12 +0000 en hourly 1 http://wordpress.org/?v=3.0.4 Quadratic Equation – Completing The Square Method http://www.singaporeolevelmaths.com/2008/05/14/quadratic-equation-completing-the-square-method/ http://www.singaporeolevelmaths.com/2008/05/14/quadratic-equation-completing-the-square-method/#comments Wed, 14 May 2008 04:46:01 +0000 Ai Ling http://singaporeolevelmaths.com/2008/05/14/quadratic-equation-completing-the-square-method/ I have talked about the 3 main representations of a quadratic equation and each of its significance previously.

Today, I am using a real examination question to illustrate on The Completed Square Form and its significance.completingsquare.PNG

completedsquareform.PNG

sketchquadraticgraph.PNG

]]> http://www.singaporeolevelmaths.com/2008/05/14/quadratic-equation-completing-the-square-method/feed/ 1 What Is The Difference Between Sketch And Draw? http://www.singaporeolevelmaths.com/2008/04/07/what-is-the-difference-between-sketch-and-draw/ http://www.singaporeolevelmaths.com/2008/04/07/what-is-the-difference-between-sketch-and-draw/#comments Mon, 07 Apr 2008 01:34:03 +0000 Ai Ling http://singaporeolevelmaths.com/2008/04/07/what-is-the-difference-between-sketch-and-draw/ It is important to know the difference between Sketch A Graph & Draw A Graph.

Sketch ==>

  • On foolscap paper
  • Best Representation of the graph
  • Less time as it reflects only the general shape of the graph.

Draw ==>

  • On graph paper
  • Accurate representation of the graph
  • More time needed as it usually involves more points on the graph
  • Curve rule/french curve is usually required.

Example:

Sketch y=-3x+1

What I will do :

  1. Find x-intercept (i.e. set y = 0)
    x=\frac{1}{3}
  2. Find y-intercept (i.e. set x = 0) y = 1
  3. Put the 2 points on the axes I have drawn on foolscap, join the 2 points, label the line.

Draw y=-3x+1

  1. Set up a table of 3 values of x choosen randomly i.e x = -1 , 0, 1
  2. Find out values of y for each value of x by substituting into the equation of the line.
  3. Plot the points on a graph paper accurately.
  4. Join the 3 points, label the line.

Good in straight line? You might want to check out how you can draw Exponential Graph here even with NO Math knowledge.

]]> http://www.singaporeolevelmaths.com/2008/04/07/what-is-the-difference-between-sketch-and-draw/feed/ 1 What Has My Left Palm Got To Do With Math? http://www.singaporeolevelmaths.com/2008/04/02/what-has-my-left-palm-got-to-do-with-math/ http://www.singaporeolevelmaths.com/2008/04/02/what-has-my-left-palm-got-to-do-with-math/#comments Wed, 02 Apr 2008 04:56:06 +0000 Ai Ling http://singaporeolevelmaths.com/2008/04/02/what-has-my-left-palm-got-to-do-with-math/ Palm Reading for my Destiny? Nope.

I was recently doing graph topics with some students. And some were complaining how much they have to memorize until I revealed to them some of the Underground Secrets on Mastery Of Graphs. They were amazed and amused.

expographhand.jpg

expographhand.PNG

Click on pictures for clearer view

Our palms have the exponential graph y=e^x embedded on them! Now you have 1 less graph to take care of. Just ensure you keep your hands nice and clean so that the palm lines stay on for you forever.

When the need to draw y=e^x arises, flip that palm up :)

Warning: You ought to do it tactfully in case the invilgator suspects you of cheating. Haha

I will be writing on more secrets on Mastery of Graphs. If you like these secrets, subscribe to singaporeolevelmaths for free to be posted of more updates.

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