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SCHEME OF WORKS

MATHEMATICS FORM 4

2013

PREPARED BY:

(PN MAIZATUL AIZA ZAIDI)

GURU MATAPELAJARAN

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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 numbersin 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

solve problems involving

numbers in standard form

working

out mentally

identifying

relations

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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 quadraticexpressions of the form px2

q,p

classifying

arranging

sequentially

translating

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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 Equation

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 quadraticexpressions containing

coefficients

arranging

sequentially

arranging

sequentially

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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

classifying

translating

7

Cuti

tahun

baru

cina

concept of Roots

of quadratic

equations

1. determine the solutions

for quadratic equations by:

A. trial and errormethod

B. factorization

comparing

&

differentiating

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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

classifying

finding all

possible

solutions

drawing

diagrams

identifying

relations

interpretin

g

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determine the

complement of a given set

determine the

relationship between set,

subset,

universal set and the

complement of a set

11

Ujian

bulanan

(11-15

mac)

12

18/3-

22/3/2013

3.3 Perform

Operations on set

determine the

intersection of

1. two sets2. three sets

and use the symbol

represent the

intersection of sets using

Venn diagram

state the relationship

between

1. andA

comparing

and

differentiating

drawing

diagrams

identifying

relations

interpretin

g

translating

making

generalization

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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. andA

2. and B

determine the

complement of the union of

sets


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the union of sets

determine the outcome

of combined operations on

sets

xii. solve problems involvingcombined operations on set

CUTI PERTENGAHAN

PENGGAL 1 [ 23-31MAC 2013]

14

8/4-

12/4/2013

Chapter 4:

Mathematical

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 mathematical

Classifying

Working

out mentally

Translating

Interpretin

g

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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 allcases by using the

quantifier all

construct a true

statement using the

quantifier all or some

given an object and a

property

Working

out mentally

Identifyingrelations

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 statement

working

out mentally

classifying

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27/4/2013

no statements identify two statements

from a compound


word and

form a compound

statement by combining

two given statements using

the word and

identify two statement

from a compound


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 wordand

determine the truth

value of a compound

statement which is the

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combination of two

statements with the word

or

4.4 Understand

the concept of

Implication

identify the antecedent

and consequent of an

implication ifp, then q

write two implications

from a compound

statement containing if

and only if

construct mathematical

statements in the form ofimplication:

1. Ifp, then q

2. p if and only ifq

determine the converse

of a given implication

determine whether the

converse of an implication

is true or false

workingout mentally

classifying

17 4.5 Understand 1. identify the premise and Classifying

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3/5/2013

the concept of

Argument

conclusion of a given

simple argument

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

Making

inferences

4.6 Understandand use the

concept of

Deduction and

Induction

1. determine whether aconclusion 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

classifying making

inferences

making

generalization

looking for

patterns

makinganalogy

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numerical sequence, by

induction

4. use deduction and

induction in problem

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 horizontaldistance

Interpretin

g

16

23/4-

28/4/2012

5.2 Understant the

concept of

gradient of a

straight line in

Cartesiancoordinates

1. derive the formula for

the gradient of a straight

line

2. calculate the gradient of

a straight line passingthrough two points

3. determine the

relationship between the

value of the gradient and

the:

interpretin

g

classifying

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A. steepness

B. direction of

inclination

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 andy-intercept

interpretin

g

18

6/5

-10/5/201

5.4Understand and

use the concept ofEquation 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

drawing

diagrams comparing

and

differentiating

working

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3straight line given the

gradient andy-intercept

4. determine the gradient

and y-intercept of the

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 thex-

axis

B. is parallel to they-

axis

C. passes through a

given point and has a

specific gradient

D. passes throughtwo given points

6. find the point of the

intersection of two straight

lines by:

out mentally

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A. drawing the two

straight lines

B. solving

simultaneous equations

19

14/5-

19/5/201

2

5.5 Understand

and use the

concept of Parallel

line

1. verify that two parallel

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 thestraight line which passes

through a given point and is

parallel to another straight

line


equations of straight lines

PEPERIKSAAN PENGGAL 1

comparing

and

differentiating

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20

21/5

26/5/12

(WEEK 19-20)

CUTI PERTENGAHAN

TAHUN [24.5-13- 9/6/2012]

21

10/6 -

14/6/13

Chapter 6:

Statistics

6.1 Understandthe 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 aclass interval

working

out mentally

classifying

making

inferences

22

17/6

1. determine the class

interval, given a set of data

and the numbers of classes

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21/6/13

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

Interpretin

g

Working

out mentally

Making

inferences

Identifying

relations

24 6.3 represent and

interpret data in

histograms with

1. draw a histogram based

on the frequency table of a

grouped data

drawing

diagrams

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01/7

-5/7/13 class intervals

2. interpret information

from given histogram


histograms

interpretin

g

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


from a given frequency

polygon


frequency polygon

drawing

diagrams

interpreting

6.5 Understand

the concept ofCumulative

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

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26

15/7

-19/7/201

3

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

the third quartile

the interquartile range

from the ogive


from an ogive


data representations and

measures of dispersion

interpretin

g

identifying

relations

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

Finding all

possible

solutions

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2. by reasoning

iii determine the sample space

of an experiment

iv write the sample space by

using set notations

27

22/7 -

25/7/2013

7.2 Understandthe 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

identifying

relations

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event from a big enough of

trials

iii calculate the expected

number of times an event will

occur, given the probability ofthe 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

Working

out mentally

Drawing

diagrams

Identifying

relations

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circle passing through a 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 tangent2. verify the relationship

between the angle formed

by the tangent and the

chord with the angle in the

alternate segment which is

identifying

relations

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subtended by the chord

3. perform calculations

involving the angle in

alternate segment

4. solve problems involvingtangent 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 twopoints

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

comparing

and

differentiating

Finding all

possiblesolutions

Identifying

relations

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C. do not intersect


common tangents to two

circles

4. solve problems involvingtangents and common

tangent

Chapter 9:

Trigonometry

II

9.1 Values of sin ,

cos and tan

.

1. identify the quadrants

and angles in the unit circle

2. determine:

A. the value of y-

coordinateB. the value of x-

coordinate

C. the ratio of y-

coordinate to x-

coordinate

of several points on the

circumference of the unitcircle

1. verify that, for an angle

in quadrant I of the unit

working

out mentally

interpretin

g

identifying

relations

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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 theunit circle

1. determine the values of:

A. sin

B. cos

C. tan

for

1. determine whether the

values of:

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A. sine

B. cosine

C. tangent

of an angle in a specific

quadrant is positive ornegative

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

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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 90 and

360

2. Find the angles between

0 and 360, given the

values of sine, cosine and

tangent

3. Solve problems involving

sine, cosine and tangent

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


360

2. compare the graphs of

sine, cosine and tangent for


360

drawing

diagrams

comparing

and

differentiating

interpretin

g

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graphs of sine, cosine and

tangent

33

9/9

-13/9/201

2

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

identifying

relations

34 Chapter 11:

Lines and

Planes in 3-

dimensions

11.1Understand

and use the

concept of Angle

between lines and

1. identify planes

2. identify horizontal

planes, vertical planes and

inclined planes

Comparing

and

differentiating

Working

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17/9/13

-

20/9/13planes

3. sketch a three

dimensional shape and

identify the specific planes

4. identify

5. identify normals to a

given plane6. 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

out mentally

Identifying

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

working

out mentally

drawing

diagrams

identifying

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23/9

-27/9/201

2

intersection of 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

relations

36-38

30/9-

11/10/20

13

ULANGKAJI

Revisio

n

39,40,41

`

29/10-

15/11/20

PEPERIKSAAN PENGGAL II

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RPT MATH F4 2013.doc