Form 4

MATHEMATICS

FORM 4

YEARLY SCHEME OF WORK

YEAR 2014

PN. ONG AI SUAN

2

MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS

JANUARY

1

2-3

Topic 1

Standard form

1.1 Significant figure

Students will be able to

1.1.1

round off positive numbers to a given number of

significant figures when the numbers are :

(i) greater than 1, (ii) less than 1.

1.1.2

perform operations of additions, subtraction,

multiplication and division, involving a few numbers and

state the answer in specific significant figures.

1.1.3

solve problems involving significant figures.

i-THINK

2

6-10

1.2 Standard form


1.2.1

state positive numbers in standard form when the

numbers are :

(i) greater than or equal to 10, (ii) less than 1.

1.2.2

convert numbers in standard form to single numbers.

1.2.3

perform operations of addition, subtraction, multiplication

and division, involving any two numbers and state the

answers in standard form.

1.2.4

solve problems involving numbers in standard form.

VLG Frog

i-THINK

3


JANUARY

3

13-17

Topic 2

Quadratic expressions and

equations

2.1 Quadratic expressions

2.2 Factorise quadratic

expressions


2.1.1

identify quadratic expressions.

2.1.2

form quadratic expressions by multiplying any two

linear expressions.

2.1.3

form quadratic expressions based on specific situations.


2.2.1

factorise quadratic expressions of the form

cbxax 2, where b = 0 or c = 0.

2.2.2

factorise quadratic expressions of the form

px2 – q , p and q are perfect squares.

Thaipusam day

17 Januari (Friday)

i-THINK

4

20-24

2.2 Factorise quadratic

expressions

2.2.3

factorise quadratic expression of the form

ax2 + bx + c , where a, b and c are not equal to zero.

2.2.4

factorise quadratic expressions containing

coefficients with common factors.

VLG Frog

4


JANUARY

4

20-24

2.3 Quadratic equations


2.3.1

identify quadratic equations with one unknown.

2.3.2

write quadratic equations in general form i.e.

02 cbxax

2.3.3

form quadratic equations based on specific situations.

5

27-30

2.4 Roots of quadratic equations


2.4.1

determine whether a given value is a root of a specific

quadratic equation.

2.4.2

determine the solutions for quadratic equations

by (i) trial and error method , (ii) factorization

2.4.3

solve problems involving quadratic equations .

Chinese New Year

31 Januari (Friday)

2 Februari (Saturday)

i-THINK

FEBRUARY

6

3-7

Topic 3

Sets

3.1 Sets


3.1.1

sort given objects into grouips.

3.1.2 define sets by :

(i) descriptions , (ii) using set notation { }.

VLG Frog

i-THINK

5


FEBRUARY

6

3-7

Topic 3

Sets

3.1 Sets

3.1.3

identify whether a given object is an element of a set and

use the symbol Є.

3.1.4

represent sets by using Venn diagrams.

3.1.5

list the elements and state the number of elements of a

set.

3.1.6

determine whether a set is an empty set.

3.1.7

determine whether two sets are equal.

7

10-14

3.2 Subset, Universal Set and

Complement Of A Set


3.2.1

determine whether a given set is a subset of a specific

set .

3.2.2

represent subset using Venn diagram.

3.2.3

list the subsets for a specific set.

3.2.4

illustrate the relationship between set and universal set

using Venn diagram.

Cross country

15 February (Saturday)

i-THINK

6


FEBRUARY

7

10-14

3.2 Subset, Universal Set and

Complement Of A Set

3.2.5

determine the complement of a given set.

3.2.6

determine the relationship between ,subset, universal set

and the complement of a set.

8

17-21

3.3 Intersection sets and union sets


3.3.1

determine the intersection of (a) two sets, (b) three sets.

3.3.2

represent the intersection of sets using Venn diagram.

3.3.3

state the relationship between

(a) A∩ B and A , (b) A∩ B and B.

3.3.4

determine the complement of the intersection of sets.

3.3.5

solve problems involving the intersection of sets

3.3.6

determine the union of (a) two sets , (b) three sets.

3.3.7

represent the union of sets using Venn diagram.

VLG Frog

i-THINK

7


MARCH

9

24-28

3.3 Intersection sets and union sets

3.3.8

state the relationship between

(a) A U B and A ,

(b) A U B and B.

3.3.9

determine the complement of the union of sets.

3.3.10

solve problems involving the union of sets.

3.3.11

determine the outcome of combined operations on sets.

3.3.12

solve problems involving combined operations on sets.

i-THINK

8


MARCH

10

3-7

Topic 4

Mathematical reasoning

4.1 Concept of statement


4.1.1

determine whether a given sentence is a statement.

4.1.2

determine whether a given statement is true or false.

4.1.3

construct true or false statement using given numbers and

mathematical symbols.

VLG Frog

i-THINK

4.2 Quantifier “All” and “Some “


4.2.1

construct statements using the quantifier :

(a) all , (b) some.

4.2.2

determine whether a statement that contains the quantifier

„all‟ is true or false.

4.2.3

determine whether a statement can be generalized to

cover all cases by using the quantifier „all‟.

4.2.4

construct a true statement using the quantifier „all‟

or ‟some‟, given an object and a property.

9


MARCH

11

10-14

4.3 Operations on statements


4.3.1

change the truth value of a given statement by placing the

word „not‟ into the original statement

4.3.2

identify two statements from a compound statement that

contains the word „and‟.

4.3.3

form a compound statement by combining two given

statements using the word „and‟.

4.3.4

identify two statements from a compound statement that

contains the word „or‟.

4.3.5

form a compound statement by combining two given

statements using the word „or‟.

4.3.6

determine the truth value of a compound statement which

is the combination of two statements with the word „and‟.

4.3.7

determine the truth value of a

compound statement which is the combination of two

statements with the word „or‟.

i-THINK

10


MARCH

12

17-21

CURRICULUM ASSESMENT 1

VLG Frog

MID-SEMESTER I HOLIDAYS [ 22 MAR – 30 MAR]


MARCH

APRIL

13

31/3-4/4

4.4 Implication


4.4.1

identify the antecedent and consequent of an implication

„if p, then q‟.

4.4.2

write two implications from a compound statement

containing „if and only if‟.

4.4.3

construct mathematical statements in the form of

implication:

(i) (i) If p, then q, (ii) p if and only if q.

4.4.4

determine the converse of a given implication.

4.4.5

determine whether the converse of an implication is

true or false.

i-THINK

11


APRIL

14

7-11

4.5 Argument

4.6 Deduction & induction


4.5.1

identify the premise and conclusion of a given simple

argument.

4.5.2

make a conclusion based on two given premises for :

(a) Argument Form I,

(b) Argument Form II,

(c) Argument Form III.

4.5.3

complete an argument given a premise and the

conclusion.


4.6.1

determine whether a conclusion is made through :

(a) reasoning by deduction,

(b) reasoning by induction.

4.6.2

make a conclusion for a specific case based on a given

general statement, by deduction.

4.6.3

make a generalization based on the pattern of a numerical

sequence, by induction.

4.6.4

use deduction and induction in problem solving.

VLG Frog

i-THINK

12


APRIL

15

14-18

Topic 5

The straight lines

5.1 Gradient of a straight line

5.2 Gradient of a straight line in

cartesian coordinates


5.1.1

determine the vertical and horizontal distances between

two given points on a straight line.

5.1.2

determine the ratio of vertical distance to horizontal

distance.


5.2.1

derive the formula for the gradient of a straight line.

5.2.2

calculate the gradient of a straight line passing through

two points.

5.2.3

determine the relationship between the value of the

gradient and the :

(a) steepness,

(b) direction of inclination, of a straight line.

i-THINK

13


APRIL

16

21-25

5.3 Concept of intercept

5.4 Equation of a straight line


5.3.1

determine the x-intercept and the y-intercept of a straight

line.

5.3.2

derive the formula for the gradient of a straight line in

term of the x-intercept and the y-intercept.

5.3.3

perform calculations involving gradient, x-intercept and

y-intercept.


5.4.1

draw the graph given an equation of the form

y= mx + c.

5.4.2

determine whether a given point lies on a specific

straight line.

5.4.3

write the equation of the straight line given the

gradient and y-intercept.

VLG Frog

i-THINK

14


APRIL

MAY

MAY

17

28/4-2/5

5.4 Equation of a straight line

5.4.4

determine the gradient and y-intercept of the straight line

whose equation is of the form :

(i) y = mx + c , (ii) ax + by = c .

5.4.5

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.

5.4.6

find the point of intersection of two straight lines by :

(a) drawing the two straight lines,

(b) solving simultaneous equations.

Labour day

1 May (Thursday)

i-THINK

18

5-9

5.5 Parallel lines


5.5.1

verify that two parallel lines have the same gradient and

vice versa.

5.52

determine from the given equations whether two straight

lines are parallel.

5.5.2

find the equation of the straight line which passes through

a given point and is parallel to another straight line.

5.5.4

solve problems involving equations of straight lines .

VLG Frog

i-THINK

15


MAY

19

12-16

Topic 6

Statistics

6.1 Class interval

6.2 Mode and mean of grouped

Data


6.1.1

complete the class interval for a set of data given one of

the class intervals.

6.1.2

determine :

(a) the upper limit and lower limit,

(b) the upper boundary and lower boundary of a class in

a grouped data.

6.1.3

calculate the size of a class interval .

6.1.4

determine the class interval, given a set of data and the

number of classes.

6.1.5

determine a suitable class interval for a given set of data.

6.1.6

construct a frequency table for a given set of data.


6.2.1

determine the modal class from the frequency table of

grouped data.

6.2.2

calculate the midpoint of a class.

i-THINK

16


MAY

19

12-16

6.2 Mode and mean of grouped

Data

6.3 Histograms with intervals of

the same class size

6.2.3

verify the formula for the mean of grouped data.

6.2.4

calculate the mean from the frequency table of grouped

data .

6.2.5

discuss the effect of the size of class interval on the

accuracy of the mean for a specific set of grouped data.


6.3.1

draw a histogram based on the frequency table of a

grouped data.

6.3.2

interpret information from a given histogram.

6.3.3

solve problems involving histograms.

Wesak day

13 May (Tuesday)

Teacher‟s day

16 May (Friday)


MAY

20

19-23

MID-YEAR EXAMINATION

VLG Frog

20

26-27

MID-YEAR EXAMINATION

MID-YEAR HOLIDAYS [ 28 MAY – 15 JUNE ]

Birthday of His Majesty

of the King

7 June (Saturday)

17


JUNE

21

16-20

6.4 Frequency polygons


6.4.1

draw the frequency polygon based on :

(a) a histogram, (b) a frequency table.

6.4.2

interpret information from a given frequency polygon.

6.4.3

solve problems involving frequency polygon.

Sports tournament

22 June (Sunday)

VLG Frog

i-THINK

22

23-27

6.5 Cumulative frequency

6.6 Dispersion


6.5.1

construct the cumulative frequency table for :

(a) ungrouped data, (b) grouped data.

6.5.2

draw the ogive for (a) ungrouped data , (b) grouped data.


6.6.1

determine the range of a set of data

6.6.2

determine (a) median , (b) the first quartile ,

(c) the third quartile , (d) the interquartile range

from the ogive.

i-THINK

18


JUNE

JULY

JULY

23

30/6-4/7

6.6 Dispersion

Topic 7

Probability I

7.1 Sample space

6.6.3

interpret information from an ogive.

6.6.4

solve problems involving data representations and

measure of dispersion.


7.1.1

determine whether an outcome is a possible outcome of an

experiment.

VLG Frog

i-THINK

24

7-11

7.1 Sample space

7.2 Events

7.1.2

list all possible outcomes of an experiment

(a) from activities , (b) by reasoning.

7.1.3

determine the sample space of an experiment.

7.1.4

write the sample space by using set notation.


7.2.1

identify the elements of a sample space which satisfy given

conditions.

7.2.2

list all elements of a sample space which satisfy certain

conditions using set notations.

7.2.3

determine whether an event is possible for a sample space.

i-THINK

19


JULY

25

14-18

7.3 Probability of an event


7.3.1

find the ratio of the number of times an event occurs to

the number of trials.

7.3.2

find the probability of an event from a big enough

number of trials.

7.3.3

calculate the expected number of times an event will

occur, given the probability of the event and number of

trials.

7.3.4

solve problems involving probability.

7.3.5

predict the occurrence of an outcome and make a decision

based on known information.

Nuzul Al-Quran

15 July (Tuesday)

VLG Frog

i-THINK

26

21-25

Topic 8

Circles III

8.1 Tangents to a circle


8.1.1

identify tangents to a circle.

8.1.2

make inference that the tangent to a circle is a straight

line perpendicular to the radius that passes through the

contact point.

i-THINK

20


JULY

JULY

AUGUST

26

21-25

8.1 Tangents to a circle

8.1.3

construct the tangent to a circle passing through a point :

(a) on the circumference of the circle,

(b) outside the circle.

8.1.4

determine the properties related to two tangents related to

a circle from a given point outside the circle.

8.1.5

solve problems involving tangents to a circle.

27

28/7-1/8

8.2 Angle between tangent and

chord


8.2.1

identify the angle in the alternate segment which is

subtended by the chord through the contact point of

the tangent.

8.2.2

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.

8.2.3

perform calculations involving the angle in alternate

segment.

8.2.4

solve problems involving tangent to a circle and angle

in alternate segment.

Aidil Fitri

28 July – 29 July

(Monday & Tuesday)

VLG Frog

i-THINK

21


AUGUST

28

4-8

CURRICULUM ASSESMENT II


AUGUST

29

11-15

8.3 Common tangents


8.3.1

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.

8.3.2

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.

VLG Frog

i-THINK

30

18-22

8.3 Common tangents

8.3.3

solve problems involving common tangents to two

circles.

8.3.4

solve problems involving tangents and common tangents.

i-THINK

22


AUGUST

31

25-29

Topic 9

Trigonometry II

9.1 Values of

tan and cos,sin


9.1.1

identify the quadrants and angles in the unit circle.

9.1.2

determine :

(a) the value of the y-coordinate,

(b) the value of the x-coordinate,

(c) the Θ ratio of y-coordinate to x-coordinate , of several

points on the circumference of the unit circle.

9.1.3

determine the values of (a) sine , (b) cosine ,(c) tangent,

of an angle in quadrant I of the unit circle

9.1.4

determine the values of tan(c) (b)cos sin)(a ,

for 90 < Θ < 360.

9.1.5

determine whether the values of (a) sine , (b) cosine ,

(c) tangent of an angle in a specific quadrant is positive

or negative.

9.1.6

determine the values of sine, cosine and tangent for

special angles.

VLG Frog

i-THINK

23


SEPTEMBER

32

1-5

9.1 Values of

tan and cos,sin

9.1.7

determine the values of the angles in quadrant I which

correspond to the values ofnthe angles in other.

9.1.8

state the relationships between the values of

(a) sine , (b)cosine , (c) tangent; of angles in quadrant II,

III and IV with their respective values of the

corresponding angle in quadrant I .

9.1.9

find the values of sine, cosine and tangent of the angles

between 90o and 360

o .

9.1.10

find the angles between 0o and 360

o , given the values

of sine,cosine or tangent.

9.1.11

solve problems involving sine, cosine and tangent.

National day

31 August (Sunday)

i-THINK

33

8-12

9.2 Graphs of sine, cosine

and tangent


9.2.1

draw the graphs of sine, cosine and tangent for angles

between 0o and 360

o .

9.2.2

compare the graphs of sine,cosine and tangent for angles

between 0o and 360

o .

9.2.3

solve problems involving graphs of sine, cosine and

tangent.

VLG Frog

i-THINK

24


SEPTEMBER

MID-SEMESTER II HOLIDAYS [13 SEPTEMBER – 21 SEPTEMBER]

Malaysia day

16 September (Tuesday)


SEPTEMBER

34

22-26

Topic 10

Angle of elevation and depression

10.1 Angle of elevation and

angle of depression


10.1.1

identify :

(a) the horizontal line ,

(b) the angle of elevation,

(c) the angle of depression, for a particular situation.

10.1.2

represent a particular situation involving :

(a) the angle of elevation,

(b) the angle of depression, using diagrams.

10.1.3

solve problems involving the angle of elevation and the

angle of depression.

i-THINK

25


SEPTEMBER

OCTOBER

35

29/9-3/10

Topic 11

Lines and planes in 3-dimensional

11.1 Angle between lines and

planes


11.1.1

identify planes.

11.1.2

identify horizontal planes, vertical planes and inclined

planes.

11.1.3

sketch a three-dimensional shape and identify the specific

planes.

11.1.4

identify :

(a) lines that lies on a plane, (b) lines that intersect with a

plane.

11.1.5

identify normal to a given plane.

11.1.6

determine the orthogonal projection of a line on a plane.

11.1.7

draw and name the orthogonal projection of a line on a

plane.

11.1.8

determine the angle between a line and a plane.

11.1.9

solve problems involving the angle between a line and a

plane.

Aidil Adha

5 October (Sunday)

VLG Frog

i-THINK

26


OCTOBER

36

6-10

11.2 Angles between two planes


11.2.1

identify the line of intersection between two planes.

11.2.2

draw a line on each plane which is perpendicular to the

line of intersection of the two planes at a point on the line

of intersection.

11.2.3

determine the angle between two planes on a model and a

given diagram.

11.2.4

solve problems involving lines and planes in

3-dimensional shapes.

i-THINK


OCTOBER

37

13-17

FORMATIVE EXERCISE

Topic 2 : Quadratic expressions and equations

Topic 5 : The straight lines

VLG Frog

27


OCTOBER

38

20-24

FINAL YEAR EXAMINATION

Deepavali

23 October (Thursday)

39

27-31

FINAL YEAR EXAMINATION

VLG Frog


NOVEMBER

40

3-7

DISCUSSION OF END OF YEAR EXAMINATIONS QUESTIONS

41

10-14

SPM MODEL PAPER (FORM 4)

VLG Frog

42

17-21

SPM MODEL PAPER (FORM 4)


YEAR END SCHOOL HOLIDAYS

22 NOVEMBER 2014 – 4 JANUARY 2015

Christmay day

12 December (Thursday)

Form 4

Technology

Transcript of Form 4