RPT MATH F4 2013 (1)

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SCHEME OF WORKS

MATHEMATICS FORM 4

2013

PREPARED BY:

(PN MAIZATUL AIZA ZAIDI)

GURU MATAPELAJARAN

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MATHEMATICS FORM 4

Week/

Date

Learning

Area

Learning

ObjectivesLearning Outcomes CCTS Remarks

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 division,

involving a few numbers

and state the answer in

specific significant figures

contextual

working

out mentally

finding all

possible

solutions identifying

relations

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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

solve problems involvingnumbers 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 quadratic

expressions 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 Rootsof quadratic

equations

1. determine the solutions

for quadratic equations by:

A. trial and errormethod

B. factorization

comparing

&

differentiating

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(11-15

feb )

8

18/2-

22/2/2013

iii. solve problems involving

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

groups2. 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

Venn diagrams

making

generalization

s working

out mentally

classifying

-comparing and

differentiating

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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

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4/3-8/3/13

3.2 Understandand use the

concept of Subset,

universal set and

the complement of

a set

determine whether agiven 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

determine the

complement of a given set

classifying finding all

possible

solutions

drawing

diagrams

identifying

relations

interpretin

g

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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 sets

2. three sets

and use the symbol

represent the

intersection of sets using

Venn diagram

state the relationship

between

1. andA

2. and B

determine the

comparing

and

differentiating

drawing

diagrams

identifying

relations

interpretin

g

translating

making

generalization

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5/4/13

complement of the

intersection of sets

solve problems involving

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 ofsets

solve problems involving

the union of sets

determine the outcome

of combined operations on

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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:

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 falsestatement using given

numbers and mathematical

symbols

Classifying

Working

out mentally

Translating

Interpreting

15 4.2 Understand construct statements Working

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18/4/12

the concept of

Quantifiers all

and some

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

out mentally

Identifying

relations

16

22/4 -

4.3 Perform

Operations

Involving the

words not or

no statements

change the truth value

of a given statement by

placing the word not into

the original statement

identify two statements

from a compound


working

out mentally

classifying

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27/4/2013

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 word

and

determine the truth

value of a compound

statement which is the

combination of two

statements with the word

or

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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 of

implication:

1. If p, 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

working

out mentally

classifying

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3/5/2013

4.5 Understandthe concept of

Argument

1. identify the premise andconclusion of a given

simple argument

2. make a conclusion

based on two given

premises for:

Classifying

Making

inferences

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A. Argument Form I

B. Argument Form II

C. Argument Form III

3. complete an argument

given a premise and theconclusion

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 byinduction

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

solving

classifying

making

inferences

making

generalization

looking for

patterns

making

analogy

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Chapter 5:

The Straight

Line

5.l Understant the

concept of

gradient of astraight line

1. determine the vertical

and horizontal distances

between two given points

on a straight line

ii. determine the ratio ofvertical distance to horizontal

distance

Interpretin

g

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

of a straight line

interpretin

g

classifying

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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

interpreting

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-10/5/201

3

5.4Understand anduse the concept of

Equation of a

straight line

1. draw the graph given anequation 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 andy-intercept

4. determine the gradient

and y-intercept of the

straight line which equation

is of the form:

drawingdiagrams

comparing

and

differentiating

working

out mentally

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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 aspecific 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 comparing

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19/5/201

2

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and use the

concept of Parallelline

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]

and

differentiating

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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 anlower limit

B. the upper

boundary and lower

boundary

of a class in a group data

3. calculate the size of a

class interval

workingout mentally

classifying

making

inferences

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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 6.2Understand and i. determine the modal class Interpretin

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38/6/13

use the concept of

Mode and mean of

grouped data

from the frequency table of

grouped data

1. calculate the midpoint of

a class

2. verify the formula for the

mean of grouped data3. 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

g

Working

out mentally Making

inferences

Identifying

relations

24

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-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

3. solve problems involvinghistograms

drawing

diagrams

interpretin

g

25 6.4Represent and

interpret data in

Frequency

1. draw the frequency

polygon based on:

A. a histogram

drawing

diagrams

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8/7

-12/7/13polygons to solve

problem

B. a frequency table


from a given frequency

polygon

3. solve problems involvingfrequency polygon

interpretin

g

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

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-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

the third quartile

the interquartile range

interpretin

g

identifying

relations

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from the ogive


from 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 possibleoutcomes of an

experiment:

1. from activities

2. by reasoning

iii determine the sample space

of an experiment

iv write the sample space by

using set notations

Finding all

possible

solutions

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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 setnotations

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

iii calculate the expected

number of times an event will

occur, given the probability of

the use event and number of

trials

identifying

relations

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probability

2. predict the occurrence

of an outcome and make a

decision based on knowninformation

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 passesthrough the contact point

iii construct the tangent to a

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

Working

out mentally

Drawing

diagrams

Identifying

relations

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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 which is

subtended by the chord

3. perform calculations

involving the angle in

alternate segment


tangent to a circle and

angle in alternate segment

identifying

relations

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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

pointsB. 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

C. do not intersect


common tangents to two

circles


tangents and common

tangent

comparing

and

differentiating

Finding all

possible

solutions

Identifying

relations

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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-

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 quadrant I of the unit

circle:

A.

B.

working

out mentally

interpretin

g

identifying

relations

31 1.

1. determine the value of:

A. sine

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26/8-

30/8/2013

B. cosine

C. tangent

of an angle in quadrant I of the

unit circle

1. determine the values of:

A. sin

B. cos

C. tan

for

1. determine whether the

values of:

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

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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 90 and

360

2. Find the angles between

0 and 360, given the

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values of sine, cosine and

tangent

3. Solve problems involving

sine, cosine and tangent

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-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


graphs of sine, cosine and

tangent

drawing

diagrams

comparing

and

differentiating

interpretin

g

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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

working

out mentally

drawing

diagrams

identifying

relations

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A. the angle of

elevation

B. the angle of

depression, using

diagrams


the angle of elevation and

the angle of depression

34

17/9/13

-

20/9/13

Chapter 11:

Lines and

Planes in 3-

dimensions

11.1Understand

and use the

concept of Angle

between lines andplanes

1. identify planes

2. identify horizontal

planes, vertical planes and

inclined planes3. sketch a three

dimensional shape and

identify the specific planes

4. identify

5. identify normals to a

given plane

6. determine the

orthogonal projection of aline on a plane

7. draw and name the

orthogonal projection of

line on plane

Comparing

and

differentiating

Workingout mentally

Identifying

relations

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8. determine the angle

between a line and a plane

solve problems involving the

angle between a line and a

plane

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2

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 ofintersection 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

1. solve problems involvinglines and planes in 3-

dimensional shapes

working

out mentally

drawing

diagrams

identifying

relations

36-38 ULANGKAJI Revisio

n

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30/9-

11/10/20

13

39,40,41

`

29/10-

15/11/20

13 PEPERIKSAAN PENGGAL II

RPT MATH F4 2013 (1)

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