Add Math KEEP IT UP
-
Upload
mohd-hisyam -
Category
Documents
-
view
218 -
download
0
Transcript of Add Math KEEP IT UP
-
8/11/2019 Add Math KEEP IT UP
1/7
PENINGKATAN PRESTASI
MATEMATIK TAMBAHAN
Mengenalpasti kelemahan dan kesilapan lazim
pelajar dan cadangan cara mengatasinya Mengikut kategori pelajar:
Pelajar Lemah (Markah 0 29)
Pelajar ederhana (Markah !0 "0)
Pelajar #arget $ (Markah "% &9)
Pelajar 'emerlang (Markah 0 %00)
GENERAL COMMENTS
For Very Weak Students :
Organise a class where teacher emphasises on how to get at least one mark for every
question (sub questions either in !aper " or !aper #$
For %ntermediate students:
&mphasise on topics where questions are certain to come out$
For &'cellent Students
o a lot of papers in S!) format to reduce careless mistakes$
&mphasise on the steps * details required to get full marks+ especially in
paper # such as round off errors$
PAPER 1
Topic Weakness / Common Mistakes Rectification / Reminder
Functions Weak Students (0 !"
(a ,nable to determine the type of
function especially when the relation
is not given as arrow diagram$
(b ,nable to distinguish between ob-ect
and image eg: (* . /
Suggestion
(a 0sk student to convert to arrow diagram$
(b &mphasised on ob-ect and image$
raw an arrow diagram
"
-
8/11/2019 Add Math KEEP IT UP
2/7
Topic Weakness / Common Mistakes Rectification / Reminder
(c )ake mistakes when question asks to
find the ob-ect if the image is given$
A#era$e Students (%0 &0"
(d ,nable to find inverse function$
E'ceent Students ()0 100"
(e id not write the condition for(*
involving fractions$
+ronto,ject -ack image
(d Suggestion:
&'plained inverse function as the inverse of the operation for simple function as a*1 b $
(* . * a*1 ,
2hus
3"(*.a
bx *
(e For functions involving fractions+ the
condition for(* ),S2 be written:
for (* .
x
+ * 4
*uadratic
E+uations
Weak Students (0 !"
(a ifficulty in converting to general
form$
,nable to identify the constants a+ b
and c when the equation is not
written in general form$
&'ample : 5*#6 k*1 #k. " 6 7*
Suggestion:
i$ )ake the 89S . 4 5*#6 k*1 #k6 " 1 7*. 4
ii$ raw 5 bo'es for each constant as such:
*# 1 * 1 . 4
Fill in any Fill in any Fill in any
constants constants constants
with*# with* without*or*#
a ; b ; c ;
*uadratic
Functions
Tar$eted A Students (&1 ,!"
(a could not relate the information
given in equation of completing thesquare form with the graph given$
(b !roblems in inequalities ,nable
to determine the range$
(a o more e'ercise on sketching$
-
8/11/2019 Add Math KEEP IT UP
3/7
2
"
.
Topic Weakness / Common Mistakes Rectification / Reminder
(a !roblem in finding c+ e'ample+
5
#7
7"=
=
=m
Students tend to do: > . m? 1 c
*y . 5*#1 c
su,st/ (2 ") to * and y/(#(7 . 5(## 1c
Write down: > . m? 1 c
Find mand c@&FO8& substituting theyand
the *3a'is given from the graph$
R
,se calculator to find the y3intercept and the
gradient$
Pro$ression Tar$eted A Students (&1 ,!"
(a Weak in finding+ e'ample+
(i S56 A(ii 2nwhen Snis given$
uggestion
(a &'plain using diagram : e'ample
(i 1 2 3 4 5 6 7 S3 7= S7 S2 (Sa b= Sb Sa-1)
(ii 1 2 3 4 5 T5= S5 S4(Tn= Sn Sn-1)
(b ,se only # data to show it is a
(b 8emind students that they must use at least 5 datato show whether itBs a
Circuar
Measures
Weak Students (0 !"
(a ,nable to change degree to radian
and vice versa$
(b ,se angle in degree in the formula$
A#era$e Students (%0 &0"
(c When finding usings1ror
$.r# students tend to multiply the
value of with"C4
as if to change it to
rad$
(d ifficulty finding the area of
segment
formula not given$
(a &mphasise on the use of calculator to change
radian to degree$
(c &mphasise that is in radian$
(d 8emind students of the formulae not given$
DD For 0rea of segment . r#( 3 sin
(since is in radian+ to get sin use calculator
to mark it as rad+ thus+ no need to change to degree
*ample: %f r. 5 and
. "$#7 radian
4$7 5 *# ( "$#7 3 sin "$#7 shift 0ns # .
On screen 4$7'5#("$#7 6 sin "$#7r
2ectors Weak Students (0 !"
(a ,nable to write unit vector correctly
(b for parallel vectors : ais parallel to ,
(a &mphasise on phythagoras theorem to find the
magnitude$
Show the formula and how to substitute$
uggestion
(b ,se the ratio of each vector$
5
(#+ 7
(7+ "=
*y
*
Mode
AC
Reg LinEnter points
2 5 M+
5 14
S3ift 2 Press rightarrow twice A =
,
, M+
y-intercept
S3ift 2 Press rightarrow twice B = gradient
-
8/11/2019 Add Math KEEP IT UP
4/7
Topic Weakness / Common Mistakes Rectification / Reminder
students tend to take a. ,$ *ample: 3 p. 5i1 =4and 4. mi1 C4are
parallel find m$
olutions:C
=5=
m similar
triangle;
5ifferentiation Weak Students (0 !"
(a Eo attempt to answer
Tar$eted A Students (&1 ,!"
(b onfuse between rate of change and
small changes$
(a 2each how to get at least one mark$
Suggestion
(b Observe the unit given ms3"rate of change
Gist out questions involving the subtopics and
ask students to identify the e'act subtopic$
Trio$onometric
Functions
Tar$eted A Students (&1 ,!"
(a o not give all the values of
especially involving 4$
Suggestion
(a(i ,se the 8 H 8 0 steps$
3
-
8/11/2019 Add Math KEEP IT UP
5/7
Topic Weakness / Common Mistakes Rectification / Reminder
A#era$e Students (%0 &0"
8 Tar$eted A Students(%0 ,!"
(b Forget to find the other unknown
(c
(a 9istogram: 3 raw with incorrect a'is
3 Forget how to get the mode
3 ,nable to read the value$
(b ,nable to use the formula for median
correctly wrong median class$
use the F from the median class
(a rilling
(b rilling
Coordinate
-eometr.
A#era$e Students (%0 &0"
(a Find 0rea+ forget+
i$ to close the points: 0 @ 0
ii$ the constant included in the formula$
(b !roblems to find the equations of line$
(b rill students with finding equations of
parallel line and perpendicular lines$
3 use formula y . m' 1 c
7
-
8/11/2019 Add Math KEEP IT UP
6/7
Topic Weakness / Common Mistakes Rectification / Reminder
Tar$eted A Students (&1 ,!"
(c ,nable to find the equation of locus$
A#era$e Students (%0 &0"
8 Tar$eted A Students (&1 ,!"
(d Gocus: )ake mistake when giving the ratio
of the distance$(e Gocus: When solving+ it is required to
square both sides to get rid of the square
rootsstudents forget to square the
constants too$
or y 6 y". m(' 6 '"
(c 8emind students to apply the distance
formula whenever the word MlocusB is seen$
(d onvert the ratio into fraction+ eg+
$-:$' . # : 7 7
#=
$'
$-
or 7$-. #$'
6orma
5istri7ution
E'ceent Students ()0 100"
(a ifficulty solving problems when the
probability is given$ &'ample!(I N k . 4$A+ find k$
Suggestion:
(a (i sketch the graph
(ii remember these shortcuts$
%ntegrations A#era$e Students (%0 &0"
(a When given the gradient function :
Students make mistake such as:
(i use equation of the straight line to find
the equation of the curve$
(ii differentiate the gradient function toget the gradient of tangent$
(a &mphasise on
(i the term gradient function
(ii y
d*d*dy
d*
dy
Ginear Gaw Weak Students (0 !"
(a o not show tables for the new a'es$
(b @est3fit line does not touch the y3a'is$
A#era$e Students (%0 &0"
8 Tar$eted A Students (&1 ,!"
(c )istakes when finding the value of ' giveny or v$v$do not use the a'es given$
(d Values in tables are not given to at least #
decimal places$
(e o not use points on the graph to find the
gradientstudents tend to take any #
points from the table without checking
whether the points are on the line or not$
When doing revision+ emphasise on where
the marks are given$
For weaker students+ make sure that they
are able to do part(a of the questions$
2rigonometric
Functions
Tar$eted A Students(&1 ,!"
(a ,nable to get the equation of the required
straight line to solve the equation given$
(a
-
8/11/2019 Add Math KEEP IT UP
7/7
Topic Weakness / Common Mistakes Rectification / Reminder
trigo e'pression$
Ginear
!rogramming
Weak Students (0 !"
(a ,nable to interpret the problem given into
mathematical inequality$
(b Weak in drawingy. m*$
A#era$e Students (%0 &0"
(c ,nable to get the correct shaded region
&'ample for ' N #y students shade the
upper region$
(a &mphasise on the terms: at least+ at most+
not more than+ not less than+ e'ceeds by+twice+ three times+ P
(b 8emind students to read from the
direction of positivey$
*N #y can be written as #y*
8ead from positive3y+ thus+ it is the lower
region$
DD 2wo ways to find the ma' * min value
%t is recommended to use the points of thecorners of 8+ and substitute into the
optimum equation$
The End
A