Xuan Jie here. I visited Ms Lim yesterday together with Gerald and Cheeyang and we found that we have lots of thing to take note for our maths CA, especially the graph topic (Chapter 8 & 9). Well, these are the things that Ms Lim want us to take note for our exam:
For graph topic:
1) Please revise all the Math worksheets (Worksheet of linear graphs & curve) that Mr Leung and Mr Tan gave us.
2) Please revise the math workbook, worksheet 18-20.
3) Keep practice drawing graphs over the weekends so that you can will to the curve rule.
For other topics:
1)Probability - remember the concepts:
a. Sample space (s)
eg: The possible outcome of a dice
= {1,2,3,4,5,6}
n(s) = 6
b. P(E) = (Number of favourable outcome for Event E)/(Number of possible outcome)
*refer to textbook pg.357 & math 1
2)Simultaneous Linear Equations
a. Elimination and Sublimation,revise your workbook,worksheet and math 1.
3)Volume and Surface Area
a. Learn all the formulas (cone,cylinder...)
b. Pythagoras theoram & similarity,although this topic is not tested, but they are linked to volume and surface area.
Well,let's go back to graph...
Linear graph:
1)y = mx + c
2)To find the equation of a line,
you have to find m and x
3)m=(y1-y2)/(x1-x2)
4)eg.eqns of the line: y=2x + 3
y=-2.5x + 1.5
y=(-5/2)x + 1/1/2 ( sorry that i cnt type fractions...)
DO NOT write: y= (-2/1/2)x + 1/1/2
5) There's 3 solutions to solve simultaneous linear equations.
1st eqn: 1 set of unique eqns>>>x=?,y=?
2nd eqn:no solution>>>gradient is the same for both lines,they are parallel line(parallel line will never meet)
3rd eqn:infinite solution>>>both eqn are the same & line are overlapping
Quadratic graph:
1) Draw the curve in 5 min only! :(
(I know it's tough but no choice...so practice more during the weekends...)
2)Answer the whole graph qns in max 10 min,you can't spend much time on it.
3)Use a combination of french curve and flexible curve to draw the curve,you are encouraged to buy a french curve.
4)Plot 2 pts at a time.(You are encouraged to use french instead of flexible to plot.)
For the turning pt,use flexible to plot 3 pt at a time.
5)Use the rough edge of the flexible curve & the outerside to draw the curve.
6)Scale is not neeeded if it is given. If the scale is not given, the scale should be written on the top right hand corner of the graph paper.
7)Table might not be necessary if it is given all the values. Also,draw it outside the gridbox or behind the graph paper after drawing the curve.
8) If the question ask "calculate a and b in the table'', no table is needed while drawing the graph unless the qn tell you to do so.
9) Always state the equation of curve on the curve itself.
10) Use dotted lines to answer qns from the graph
11) Use a straight line to indicate the line of symmetry(x=?),no line is needed if the line of symmetry is on the y axis(0,0).
12) When answering the qns for the graph(when y=2,find x...), always use the value on the graph eventhough it may not be accurate,do not use cross algorithm to solve the qns.
13)eg qn.: find the solutions of 4x^2-4x-15=0(workbook worksheet 20 qn 3)
>Do not use cross algorithm
>Since y-axis is 0, use the value of x-intercept from the graph(2 pts on the x-axis)
14)Presentation
eg.coordinates of turning pt=(2,1)>>>must put the brackets!!!
If qns ask for the coordinates of A,B,C in the graph(refer to workbook,worksheet 20 qn 1)
A(-4,0)
B(2,0)
C(0,-8)
DO NOT write: A=(-4,0)
A is (-4,0)
A=-4,0
A are (-4,0)....
They are all wrong!!!
If the question asks a)find the line of symmetry'
a)x=-1
No need to write x = -1 is the line of symmetry or
line of symmetry = x=-1,wrong presentation.
I will photocopy the notes and distribute it to all of you. I know you have lots of questions in your mind after reading, so you can ask me on Tuesday. I'll go through with you on Tuesday or after the exams, or I'll ask Mr Tan to go through. Please revise your Maths 1, workbook and worksheets as they are extremely IMPORTANT!!! And please practice drawing graphs over the weekends until you have use to it, and remember to buy a french curve for the best of chance.
I know it is very tough for us to strive for this math exam, but still all the best to all... Let us hope that Miss Lim will get well soon and let us thank her for taking the time in passing this message on to us regardless of the circumstances she is facing. She will be back in Term 4 and everything will be fine by that time.
After reading this message, please tell other 2B and 2A people to visit this blog and read this message...
Lastly, all the best for our CA paper, and Nil Sine Labore...
Xuan-Jie
This post has been rigorously edited in some grammar, punctuation and spelling inaccuracies by Justin.
This post has also been edited in colour of fonts by the duriaan lover YongSiang
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