RPT MATH F4 2013

SCHEME OF WORKS

MATHEMATICS FORM 4

2013

PREPARED BY:

(PN MAIZATUL AIZA ZAIDI)

GURU MATAPELAJARAN

MATHEMATICS FORM 4

Week/

Date

Learning

Area

Learning

ObjectivesLearning Outcomes CCTS

Remark

s

2

7/1-

11/1/2013

Chapter 1:

Standard

Form

1. Understand

and use the

concept of

significant

figure

Students will be able to:

1. round off positive

numbers to a given

number of significant

figures when the numbers

are:

greater than 1

less than 1

1. perform operations of

addition, subtraction,

multiplication and

contextua

l

working

out

mentally

finding all

possible

solutions

identifyin

g

relations

division, involving a few

numbers and state the

answer in specific

significant figures

2. solve problems involving

significant figure

3

14/1-

18/1/2013

1. Understand

and use the

concept of

standard form to

solve problem

state positive numbers in

standard form when the

numbers are:

1. greater than or equal to

10

2. less than 1

convert numbers in

standard form to single

numbers

perform operations of

addition, subtraction,

multiplication and

division, involving any two

numbers and state the

answers in standard form

working

out

mentally

identifyin

g

relations

solve problems involving

numbers in standard form

4

21/1-

26/1/2013

Chapter 2:

Quadratic

Expressions

and

Equations

2.1 Understand

the concept of

Quadratic

Expression

2.2 Factorization

quadratic

expression

1. Identify quadratic

expressions

2. Form quadratic

expressions by

multiplying any two linear

expressions

3. Form quadratic

expressions based on

specific situations

i Factorise quadratic

expressions of the form

ax2+bx+c=0, where b= 0 or

c= 0

ii Factorise quadratic

classifyin

g

arranging

sequentia

lly

translatin

g

expressions of the form px2 –

q, p

and q are the perfect

squares

5

29/1 -

1/2/13

6

4/2/-

8/2/2013

2.3 Understand

the concept of

Quadratic

CUTI TAHUN BARU CINA

iii Factorise quadratic

expressions of the form ax2+

bx +

c, where a, b and c not

equal to zero

iv Factorise quadratic

expressions containing

coefficients

arranging

sequentia

lly

arranging

Equation

with common factors

1. Identify quadratic

equations with one

unknown

2. Write quadratic equations

in general form i.e.

ax2 + bx + c = 0

3. Form quadratic equations

based on specific

situations

sequentia

lly

classifyin

g

translatin

g

7

Cuti

tahun

baru cina

(11-15

concept of Roots

of quadratic

equations

1. determine the solutions

for quadratic equations

by:

A. trial and error method

B. factorization

iii. solve problems involving

comparin

g &

differenti

ating

feb )

8

18/2-

22/2/2013

quadratic equation

finding all

possible

solutions

9

25/2-

1/3/2013

Chapter 3:

Sets

3.1 Understand

the concept of

Set 1. sort given objects into

groups

2. define sets by

A. descriptions

B. using set notation

iii identify whether a given

object is an element of a set

and use the symbol or

iv. represent sets by using

making

generaliz

ations

working

out

mentally

classifyin

g

-comparing

and

differentiatin

g

Venn diagrams

v. list the elements and state

the number of elements of a

set

vi. determine whether a set

is an empty set

vii. determine whether two

sets are equal

10

4/3-8/3/13

3.2 Understand

and use the

concept of

Subset, universal

set and the

complement of a

set

determine whether a

given set is a subset of a

specific set and use the

symbol or .

represent subset by using

Venn diagram

list the subsets for a

specific set

illustrate the relationship

between set and universal

set using Venn diagram

classifyin

g

finding all

possible

solutions

drawing

diagrams

identifyin

g

relations

determine the

complement of a given

set

determine the

relationship between set,

subset,

universal set and the

complement of a set

interpreti

ng

11

Ujian

bulanan

(11-15

mac)

12

18/3-

22/3/2013

3.3 Perform

Operations on set

determine the

intersection of

1. two sets

2. three sets

and use the symbol

represent the intersection

of sets using Venn

diagram

state the relationship

between

1. and A

comparin

g and

differenti

ating

drawing

diagrams

identifyin

g

relations

interpreti

ng

translatin

g

making

generaliz

13

1/4 –

5/4/13

2. and B

determine the

complement of the

intersection of sets


the intersection of sets.

determine the union of

1. two sets

2. three sets

and use the symbol

represent the union of

sets using Venn diagram

state the relationship

between

1. and A

2. and B

determine the

complement of the union

of sets


ation

the union of sets

determine the outcome of

combined operations on

sets

xii. solve problems involving

combined operations on set

CUTI PERTENGAHAN PENGGAL 1 [ 23-31 MAC 2013]

14

8/4-

12/4/2013

Chapter 4:

Mathematica

l Reasoning

4.1 Understand

the concept of

Statement

determine whether a

given sentence is a

statement

determine whether a

given statement is true or

false3-

construct true or false

statement using given

numbers and

Classifyin

g

Working

out

mentally

Translatin

g

Interpreti

ng

mathematical symbols

15

15/4 –

18/4/12

4.2 Understand

the concept of

Quantifiers “all”

and “some”

construct statements

using quantifier

all

some

determine whether a

statement that contains

the quantifier “all” is true

or false

determine whether a

statement can be

generalized to cover all

cases by using the

quantifier “all”

construct a true

statement using the

quantifier “all” or “some”

given an object and a

property”

Working

out

mentally

Identifyin

g

relations

16 4.3 Perform

Operations

Involving the

words “not” or ”

change the truth value of

a given statement by

placing the word “not”

into the original

working

out

mentally

22/4 -

27/4/2013

no” statements statement

identify two statements

from a compound


the word “and”

form a compound

statement by combining

two given statements

using the word “and”

identify two statement

from a compound


the word “or”

form a compound

statement by combining

two given statements

using the word “or”

determine the truth value

of a compound statement

which is the combination

of two statements with

the word “and”

determine the truth value

of a compound statement

which is the combination

of two statements with

classifyin

g

the word “or”

4.4 Understand

the concept of

Implication

identify the antecedent

and consequent of an

implication “if p, then q“

write two implications

from a compound

statement containing “if

and only if”

construct mathematical

statements in the form of

implication:

1. If p, then q

2. p if and only if q

determine the converse of

a given implication

determine whether the

converse of an implication

is true or false

working

out

mentally

classifyin

g

17 4.5 Understand

the concept of

1. identify the premise and

conclusion of a given

simple argument

Classifyin

g

Making

29/4-

3/5/2013Argument

2. make a conclusion based

on two given premises

for:

A. Argument Form I

B. Argument Form II

C. Argument Form III

3. complete an argument

given a premise and the

conclusion

inference

s

4.6 Understand

and use the

concept of

Deduction and

Induction

1. determine whether a

conclusion is made

through:

A. reasoning by deduction

B. reasoning by induction

2. make a conclusion for a

specific case based on a

given general statement,

by deduction

3. make a generalization

based on the pattern of a

numerical sequence, by

induction

4. use deduction and

induction in problem

classifyin

g

making

inference

s

making

generaliz

ation

looking

for

patterns

making

analogy

solving

Chapter 5:

The Straight

Line

5.l Understant the

concept of

gradient of a

straight line

1. determine the vertical

and horizontal distances

between two given points

on a straight line

ii. determine the ratio of

vertical distance to

horizontal distance

Interpreti

ng

16

23/4-

28/4/2012

5.2 Understant

the concept of

gradient of a

straight line in

Cartesian

coordinates

1. derive the formula for the

gradient of a straight line

2. calculate the gradient of a

straight line passing

through two points

3. determine the

relationship between the

value of the gradient and

the:

A. steepness

B. direction of inclination

interpreti

ng

classifyin

g

of a straight line

17

30/4-

05/5/2012

5.3 Understand

the concept of

intercept

1. determine the x-intercept

and the y-intercept of a

straight line

2. derive the formula for the

gradient of a straight line

in terms of the x-intercept

and the y-intercept

3. perform calculations

involving gradient x-

intercept and y-intercept

interpreti

ng

18

6/5 -

10/5/2013

5.4Understand

and use the

concept of

Equation of a

straight line

1. draw the graph given an

equation of the form y =

mx + c

2. determine whether a

given point lies on a

specific straight line

3. write the equation of the

straight line given the

gradient and y-intercept

4. determine the gradient

and y-intercept of the

drawing

diagrams

comparin

g and

differenti

ating

working

out

mentally

straight line which

equation is of the form:

a) y = mx + c

b) ax + by = c

5. find the equation of the

straight line which:

A. is parallel to the x-axis

B. is parallel to the y-axis

C. passes through a given

point and has a

specific gradient

D. passes through two

given points

6. find the point of the

intersection of two

straight lines by:

A. drawing the two

straight lines

B. solving simultaneous

equations

5.5 Understand 1. verify that two parallel comparin

19

14/5-

19/5/201

2

20

21/5 –

26/5/12

and use the

concept of

Parallel line

lines have the same

gradient and vice versa

2. determine from the given

equations whether two

straight lines are parallel

3. find the equation of the

straight line which passes

through a given point and

is parallel to another

straight line


equations of straight lines

PEPERIKSAAN PENGGAL 1

(WEEK 19-20)

CUTI PERTENGAHAN

TAHUN [24.5-13-

9/6/2012]

g and

differenti

ating

21

10/6 -

14/6/13

Chapter 6:

Statistics

6.1 Understand

the concept of

class Interval

1. complete the class

interval for a set of data

given one of the class

intervals

2. determine:

A. the upper limit an

lower limit

B. the upper boundary

and lower boundary

of a class in a group data

3. calculate the size of a

class interval

working

out

mentally

classifyin

g

making

inference

s

22

17/6 –

21/6/13

1. determine the class

interval, given a set of

data and the numbers of

classes

2. determine a suitable class

interval for a given set of

data

3. construct a frequency

table for given set of data

23

24/6 – 38/6/13

6.2Understand

and use the

concept of Mode

and mean of

grouped data

i. determine the modal class

from the frequency table of

grouped data

1. calculate the midpoint of

a class

2. verify the formula for the

mean of grouped data

3. calculate the mean from

the frequency table of

grouped data

4. discuss the effect of the

size of class interval on

the accuracy of the mean

for a specific set of

grouped data

Interpreti

ng

Working

out

mentally

Making

inference

s

Identifyin

g

relations

24

01/7 -5/7/13

6.3 represent and

interpret data in

histograms with

class intervals

1. draw a histogram based

on the frequency table of

a grouped data

2. interpret information from

given histogram


histograms

drawing

diagrams

interpreti

ng

25

8/7 -

12/7/13

6.4Represent and

interpret data in

Frequency

polygons to solve

problem

1. draw the frequency

polygon based on:

A. a histogram

B. a frequency table


a given frequency

polygon


frequency polygon

drawing

diagrams

interpreti

ng

6.5 Understand

the concept of

Cumulative

frequency

1. construct the cumulative

frequency table for:

A. ungrouped data

B. grouped data

2. draw the ogive for:

ungrouped data

grouped data

working

out

mentally

drawing

diagrams

26

15/7 -

19/7/2013

6.6Understand

and use the

concept of

Measures of

dispersion

determine the range of a

set data

determine:

1. the median

2. the first quartile

interpreti

ng

identifyin

g

relations

the third quartile

the interquartile range

from the ogive


an ogive


data representations and

measures of dispersion

26 Chapter 7:

Probability I

7.1Understand

the concept of

Sample space

determine whether an

outcome is a possible

outcome of an experiment

list all the possible

outcomes of an

experiment:

1. from activities

2. by reasoning

iii determine the sample

space of an experiment

Finding

all

possible

solutions

iv write the sample space by

using set notations

27

22/7 -

25/7/2013

7.2 Understand

the concept of

Events

1. identify the elements of a

sample space which

satisfy given conditions

2. list all the elements of a

sample which satisfy

certain conditions using

set notations

iii determine whether an

event is possible for a

sample space

Finding

all

possible

solutions

7.3Understand

and use the

concept of

Probability of an

event

1. find the ratio of the

number of times an event

occurs to the number of

trials

2. find the probability of an

event from a big enough

of trials

identifyin

g

relations

iii calculate the expected

number of times an event

will occur, given the

probability of the use event

and number of trials


probability

2. predict the occurrence of

an outcome and make a

decision based on known

information

Ujian

bulanan

ke dua

29/7-

2/8/2013

Chapter 8:

Circles III

8.1 Understand

and use the

concept of

Tangents of a

circle

1. identify tangents to a

circle

2. make inference that the

tangent to a circle is a

straight line perpendicular

to the radius that passes

through the contact point

iii construct the tangent to a

circle passing through a

Working

out

mentally

Drawing

diagrams

Identifyin

g

relations

point:

1. on the circumference of

the circle

2. outside the circle

iv. determine the properties

related to two tangents to a

circle from a given point

outside the circle

v. solve problems involving

tangents to a circle

7/8 –

18/8/13

Cuti

pertengah

an tahun

8.2 Understand

and use the

properties of

Angle between

tangent and

chord

1. identify the angle in the

alternate segment which

is subtended by the chord

through the contact point

of the tangent

2. verify the relationship

between the angle formed

by the tangent and the

chord with the angle in

the alternate segment

identifyin

g

relations

which is subtended by the

chord

3. perform calculations

involving the angle in

alternate segment


tangent to a circle and

angle in alternate

segment

29

20/8-

23/8/2013

8.3 Understand

and use the

properties of

common

tangents to solve

problem

1. determine the number of

common tangents which

can be drawn to two

circles which:

A. intersect at two points

B. intersect only at one

point

C. do not intersect

2. determine the properties

related to the common

tangent to two circles

which:

A. intersect at two points

B. intersect only at one

point

comparin

g and

differenti

ating

Finding

all

possible

solutions

Identifyin

g

relations

C. do not intersect


common tangents to two

circles


tangents and common

tangent

Chapter 9:

Trigonometr

y II

9.1 Values of sin

θ, cos θ and tan θ

.

1. identify the quadrants

and angles in the unit

circle

2. determine:

A. the value of y-

coordinate

B. the value of x-

coordinate

C. the ratio of y-

coordinate to x-

coordinate

of several points on the

circumference of the unit

circle

1. verify that, for an angle in

working

out

mentally

interpreti

ng

identifyin

g

relations

quadrant I of the unit

circle:

A.

B.

31

26/8-

30/8/2013

1.

1. determine the value of:

A. sine

B. cosine

C. tangent

of an angle in quadrant I of

the unit circle

1. determine the values of:

A. sin θ

B. cos θ

C. tan θ

for

1. determine whether the

values of:

A. sine

B. cosine

C. tangent

of an angle in a specific

quadrant is positive or

negative

1. determine the values of

sine, cosine and tangent

for special angles

2. determine the values of

the angles in quadrant I

which correspond to the

values of the angles in

other quadrants

1. State the relationships

between the values of:

A. sine

B. cosine, and

C. tangent

of angles in quadrant II, III

and IV with their respective

values of the corresponding

angle in quadrant I

1. Find the values of sine,

cosine and tangent of the

angles between 90º and

360º

2. Find the angles between

0º and 360º, given the

values of sine, cosine and

tangent

3. Solve problems involving


32

2/9 -

6/9/2012

9.2Draw and use

Graphs of sine,

cosine and

tangent

1. draw the graphs of sine,

cosine and tangent for

angles between 0º and

360º

2. compare the graphs of


for angles between 0º and

drawing

diagrams

comparin

g and

differenti

ating

360º


graphs of sine, cosine and

tangent

interpreti

ng

33

9/9 -

13/9/2012

Chapter 10:

Angles of

Elevation

and

Depression

10.1Understand

and use the

concept of Angle

of elevation and

angle of

depression

1. identify:

A. the horizontal line

B. the angle of elevation

C. the angle of depression

2. represent a particular

situation involving

A. the angle of elevation

B. the angle of

depression, using

diagrams


the angle of elevation and

the angle of depression

working

out

mentally

drawing

diagrams

identifyin

g

relations

34

17/9/13

Chapter 11:

Lines and

Planes in 3-

dimensions

11.1Understand

and use the

concept of Angle

between lines

and planes

1. identify planes

2. identify horizontal planes,

vertical planes and

inclined planes

3. sketch a three

dimensional shape and

Comparin

g and

differenti

ating

Working

out

-

20/9/13

identify the specific

planes

4. identify

5. identify normals to a

given plane

6. determine the orthogonal

projection of a line on a

plane

7. draw and name the

orthogonal projection of

line on plane

8. determine the angle

between a line and a

plane

solve problems involving the

angle between a line and a

plane

mentally

Identifyin

g

relations

35

11.2Understand

and the concept

of Angle between

two planes

1. identify the line of

intersection between two

planes

2. draw a line on each plane

which is perpendicular to

the line of intersection of

working

out

mentally

drawing

diagrams

23/9 -

27/9/2012

the two planes at a point

on the line of intersection

3. determine the angle

between two planes on a

model and a given

diagram


lines and planes in 3-

dimensional shapes

identifyin

g

relations

36-38

30/9-

11/10/20

13

ULANGKAJI

Revisi

on

39,40,41`

29/10-

15/11/20

PEPERIKSAAN PENGGAL II

13

Documents

RPT MATH F4 2013