RPT Math F4 2013
RPT Math F4 2013
RPT Math F4 2013
PREPARED BY: (PN NOOR AZILAWATI BINTI MOHD ARIF) GURU MATAPELAJARAN
MATHEMATICS FORM 4
W !" D#$ L #%&'&( A% # L #%&'&( O)* +$', L #%&'&( O.$+/0 CCTS R 0#%!-
Students will e a le to: 1. round off positi!e num ers to a gi!en num er of significant figures when the num ers are:
2 2/1-10/1/2013
1.
greater than 1 less than 1 perform operations of addition" su traction" multiplication and di!ision" in!ol!ing a few num ers and state the answer in specific significant figures sol!e pro lems significant figure in!ol!ing
1.
conte#tual wor$ing out mentall% finding all possi le solutions identif%ing relations
2.
1.
Understand
state positi!e num ers in standard form when the num ers are:
wor$ing mentall%
out
greater than or e&ual to 10 less than 1 con!ert num ers in standard form to single num ers perform operations of addition" su traction" multiplication and di!ision" in!ol!ing an% two num ers and state the answers in standard form sol!e pro lems in!ol!ing num ers in standard form classif%ing arranging se&uentiall% translating
identif%ing relations
124 21/12'/1/2013
Chapter 2: 2.1 Understand the (uadratic concept of (uadratic )#pressions and )#pression )&uations
1. 2.
*dentif% &uadratic e#pressions Form &uadratic e#pressions % multipl%ing an% two linear e#pressions 3. Form &uadratic e#pressions ased on specific situations
3 24"1 225"1"11
CUTI TAHUN BARU CINA 10"124"2 iii Factorise &uadratic e#pressions of the form a#2, bx ,
arranging se&uentiall%
c" where a" b and c not e&ual to +ero i! Factorise &uadratic e#pressions
1.
*dentif% &uadratic e&uations with one un$nown 2. 1rite &uadratic e&uations in general form i.e. a#2 , bx , c - 0 3.
Form &uadratic e&uations ased on specific situations determine the solutions &uadratic e&uations %: 3. trial and error method 4. factori+ation for
1.
comparing differentiating
1. 2.
sort gi!en o 7ects into groups define sets % 3. descriptions 4. using set notation
iii identif% whether a gi!en o 7ect is an element of a set 7 17/216/2/2013 Chapter 3: Sets 3.1 Understand the concept of Set
and use the s%m ol or i!. represent sets % using 8enn diagrams
!. list the elements and state the num er of -comparing elements of a set differentiating !i. determine whether a set is an empt% set !ii. determine whether two sets are e&ual
and
determine whether a gi!en set is a su set of a specific set and use the
% using 8enn
16/2-21/2/13
diagram list the su sets for a specific set illustrate the relationship etween set and uni!ersal set using 8enn diagram determine the complement of a gi!en set determine the relationship etween set" su set" uni!ersal set and the complement of a set
5 24"2227"2
using 8enn diagram state the relationship etween and A and B determine the complement of the intersection of sets sol!e pro lems in!ol!ing the intersection of sets. determine the union of two sets three sets
1. 2.
1. 2.
and use the s%m ol represent the union of sets using 8enn diagram state the relationship etween and A and B determine the complement of the
1. 2.
union of sets sol!e pro lems in!ol!ing the union of sets determine the outcome of com ined operations on sets
11 10/3-
determine whether a gi!en sentence is a statement determine whether a gi!en statement is true or false3
1;/3/2013
construct true or false statement using gi!en num ers and mathematical s%m ols construct statements using &uantifier all some determine whether a statement that contains the &uantifier >all? is true or false determine whether a statement can e generali+ed to co!er all cases % using the &uantifier >all? construct a true statement using the &uantifier >all? or >some? gi!en an o 7ect and a propert%? change the truth !alue of a gi!en statement % placing the word >not? into the original statement identif% two statements from a compound statement that contains the word >and? form a compound statement %
*nterpreting
12 16"1 8 15"1"12 ;.2 Understand the concept of (uantifiers >all? and >some?
out
12
out
20/3
21/3/2013
com ining two gi!en statements using the word >and? identif% two statement from a compound statement that contains the word >or? form a compound statement % com ining two gi!en statements using the word >or? determine the truth !alue of a compound statement which is the com ination of two statements with the word >and? determine the truth !alue of a compound statement which is the com ination of two statements with the word >or?
identif%
the
antecedent
and
wor$ing
out
write two implications from a compound statement containing >if and onl% if? construct mathematical statements in the form of implication: *f p" then q p if and onl% if q determine the con!erse of a gi!en implication determine whether the con!erse of an implication is true or false
mentall% classif%ing
31/3-1/4
concept of *mplication
1. 2.
11 2/;-3/;
1.
identif% the premise and conclusion of a gi!en simple argument 2. ma$e a conclusion ased on two gi!en premises for: 3. 3rgument Form * 4. 3rgument Form ** C. 3rgument Form *** 3. complete an argument gi!en a
premise and the conclusion determine whether a conclusion is made through: 3. reasoning % deduction 4. reasoning % induction 2. ma$e a conclusion for a specific ;.' Understand and use case ased on a gi!en general the concept of @eduction statement" % deduction and *nduction 3. ma$e a generali+ation ased on the pattern of a numerical se&uence" % induction ;. use deduction and induction in pro lem sol!ing determine the !ertical and hori+ontal distances etween two gi!en points on a straight line 1.
13 4/4-6/4
classif%ing ma$ing inferences ma$ing generali+ation loo$ing for patterns ma$ing analog%
/.l Understant the concept of gradient of a straight ii. determine the ratio of !ertical distance to line hori+ontal distance
*nterpreting
13
1.
interpreting
2.
1;/;-10/;
calculate the gradient of a straight line passing through two points 3. determine the relationship etween the !alue of the gradient and the: 3. steepness 4. direction of inclination of a straight line
classif%ing
14 1.
21/;-2//;
intercept of a straight line 2. deri!e the formula for the gradient of a straight line in terms of the x intercept and the y-intercept 3. perform calculations in!ol!ing gradient x-intercept and y-intercept
interpreting
16
/.;Understand and use the 1. draw the graph gi!en an e&uation of the form y = mx , c concept of )&uation of a straight line 2. determine whether a gi!en point lies on a specific straight line 3. write the e&uation of the straight
line gi!en the gradient and y-intercept ;. determine the gradient and yintercept of the straight line which e&uation is of the form: aB y = mx , c B ax , by - c /. find the e&uation of the straight line which: 3. is parallel to the x-a#is 4. is parallel to the y-a#is C.
20/; -2//
wor$ing mentall%
out
passes through a gi!en point and has a specific gradient @. passes through two gi!en points '. find the point of the intersection of two straight lines %: 3. drawing the two straight lines 4. sol!ing e&uations simultaneous
1.
!erif% that two parallel lines ha!e the same gradient and !ice !ersa 2. determine from the gi!en e&uations whether two straight lines are parallel 3. find the e&uation of the straight line which passes through a gi!en point and is parallel to another straight line ;. sol!e pro lems in!ol!ing e&uations of straight lines
21
Chapter ':
1.
wor$ing
out
of data gi!en one of the class inter!als 2. determine: 3. the upper limit an lower limit 4. the upper oundar% and lower oundar% of a class in a group data
3.
22 1//' .
1.
determine the class inter!al" gi!en a set of data and the num ers of classes 2. determine a suita le class inter!al for a gi!en set of data
20"4"11
3.
21 23"4 8 26"4"11
i. determine the modal class from the fre&uenc% ta le of grouped data 1. calculate the midpoint of a class 2. !erif% the formula for the mean of '.2Understand and use the grouped data concept of <ode and 3. calculate the mean from the mean of grouped data fre&uenc% ta le of grouped data ;. discuss the effect of the si+e of class inter!al on the accurac% of the mean for a specific set of grouped data
24 30/' 24"6"11
draw a histogram ased on the fre&uenc% ta le of a grouped data '.3 represent and interpret 2. interpret information from gi!en data in histograms with histogram class inter!als 3. sol!e pro lems in!ol!ing histograms
1.
a histogram '.;2epresent and interpret a fre&uenc% ta le data in Fre&uenc% 2. interpret information from a gi!en pol%gons to sol!e pro lem fre&uenc% pol%gon 3. sol!e pro lems in!ol!ing fre&uenc% pol%gon
1.
construct the cumulati!e fre&uenc% ta le for: 3. ungrouped data 4. grouped data 2. draw the ogi!e for:
out
ungrouped data grouped data determine the range of a set data determine: the median the first &uartile the third &uartile
24
1;/F -10/F/2013
from the ogi!e 1. 2. interpret information from an ogi!e sol!e pro lems in!ol!ing data representations and measures of dispersion determine whether an outcome is a possi le outcome of an e#periment list all the possi le outcomes of an e#periment: from acti!ities % reasoning
26 216222"6
Chapter F: 9ro a ilit% *
iii determine the sample space of an e#periment i! write the sample space notations % using set
1.
26
23/F 2//F/2013 F.2 Understand the concept of )!ents
identif% the elements of a sample space which satisf% gi!en conditions 2. list all the elements of a sample which satisf% certain conditions using set notations
28 30/7-1/8
F.3Understand and use the 1. find the ratio of the num er of times concept of 9ro a ilit% of an e!ent occurs to the num er of trials an e!ent 2. find the pro a ilit% of an e!ent from a ig enough of trials iii calculate the e#pected num er of times an e!ent will occur" gi!en the pro a ilit% of the use e!ent and num er of trials 1. sol!e pro lems in!ol!ing pro a ilit% 2. predict the occurrence of an outcome and ma$e a decision ased on
identif%ing relations
$nown information G 2F-20/F CU=* E32* 23H3 UI*3C 4UA3C :D:S 29 ;/0-0/0
30 11/0-1'/0
0.1 Understand and use 1. identif% tangents to a circle the concept of =angents of 2. ma$e inference that the tangent to a a circle circle is a straight line perpendicular to the radius that passes through the contact point
out
iii construct the tangent to a circle passing through a point: 1. 2. on the circumference of the circle outside the circle
i!. determine the properties related to two tangents to a circle from a gi!en point
1.
11 10/0 . 22"7"11 0.2 Understand and use the properties of 3ngle etween tangent and chord
identif% the angle in the alternate segment which is su tended % the chord through the contact point of the tangent 2. !erif% the relationship etween the angle formed % the tangent and the chord with the angle in the alternate segment which is su tended % the chord 3. perform calculations in!ol!ing the angle in alternate segment ;. sol!e pro lems in!ol!ing tangent to a circle and angle in alternate segment
identif%ing relations
12
0.3 Understand and use 1. determine the num er of common the properties of common tangents which can e drawn to two tangents to sol!e pro lem circles which:
2//026/0/2013
intersect at two points intersect onl% at one point do not intersect 2. determine the properties related to the common tangent to two circles which: 3. intersect at two points 4. intersect onl% at one point C. do not intersect 3. sol!e pro lems in!ol!ing common tangents to two circles ;. sol!e pro lems in!ol!ing tangents and common tangent
3. 4. C.
33 1/9-2/9
Chapter 6: =rigonometr% **
identif% the &uadrants and angles in the unit circle 2. determine: 3. the !alue of y-coordinate 4. the !alue of x-coordinate C. the ratio of y-coordinate to x-coordinate of se!eral points on the circumference of
the unit circle 1. !erif% that" for an angle in &uadrant * of the unit circle: A. B. 11 1. 1. determine the !alue of: 3. sine 4. cosine C. tangent
3/6-//6
of an angle in &uadrant * of the unit circle 1. determine the !alues of: A. sin B. cos C. tan
of an angle in a specific &uadrant is positi!e or negati!e 1. determine the !alues of sine" cosine and tangent for special angles 2. determine the !alues of the angles in &uadrant * which correspond to the !alues of the angles in other &uadrants
1.
State the relationships etween the !alues of: 3. sine 4. cosine" and C. tangent
of angles in &uadrant **" *** and *8 with their respecti!e !alues of the corresponding angle in &uadrant * 1. Find the !alues of sine" cosine and tangent of the angles etween 60J and 3'0J 2. Find the angles etween 0J and 3'0J" gi!en the !alues of sine" cosine and tangent 3. Sol!e pro lems in!ol!ing sine" cosine and tangent
14 0/6 -12/6/2012
6.2@raw and use Draphs 1. draw the graphs of sine" cosine and of sine" cosine and tangent tangent for angles etween 0J and 3'0J 2. compare the graphs of sine" cosine and tangent for angles etween 0J and 3'0J 3. sol!e pro lems in!ol!ing graphs of sine" cosine and tangent
CUTI PENGGAL KE DUA 13/9-21/9 1. 13 22/6 -23/6 identif%: 3. the hori+ontal line 4. the angle of ele!ation C. the angle of depression 2. represent a particular situation in!ol!ing 3. the angle of ele!ation 4. the angle of depression" using diagrams 3. sol!e pro lems in!ol!ing the angle of ele!ation and the angle of depression Comparing and differentiating 1or$ing out mentall% *dentif%ing relations
10.1Understand and use the concept of 3ngle of ele!ation and angle of depression
out
13 24"5224"5
Chapter 11: Aines 11.1Understand and use 1. identif% planes and 9lanes in 3- the concept of 3ngle 2. identif% hori+ontal planes" !ertical dimensions etween lines and planes planes and inclined planes 3. s$etch a three dimensional shape and identif% the specific planes ;. identif% /. identif% normals to a gi!en plane '. determine the orthogonal pro7ection
of a line on a plane F. draw and name the orthogonal pro7ection of line on plane 0. determine the angle etween a line and a plane sol!e pro lems in!ol!ing etween a line and a plane the angle
14 25"521"10
identif% the line of intersection etween two planes 2. draw a line on each plane which is perpendicular to the line of intersection 11.2Understand and the of the two planes at a point on the line concept of 3ngle etween of intersection two planes 3. determine the angle etween two planes on a model and a gi!en diagram 1. sol!e pro lems in!ol!ing lines and planes in 3-dimensional shapes
1.
out
16
ULANGKAJI
2e!ision
4"10210"10
PEPERIKSAAN PENGGAL II
40,41,42,43