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RPT Math Form 4
By tjgan Week/
Date
Learning
Area
Learning Objectives Learning Outcomes CCTS Remarks
1
4/18/1/10
Chapter 1: Standard Form
1.1 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:
a) greater than 1
b) less than 1
1. perform operations of addition, subtraction, multiplication and division, involving a few numbers and state the answer in specific significant figures
iii. solve problems involving significant figure
 contextual
 working out mentally
 finding all possible solutions
 identifying relations
2
11/115/1/10
1.2 Understand
and use the concept of standard form to solve problem
1. state positive numbers in standard form when the numbers are:
a) greater than or equal to 10
b) less than 1
1. convert numbers in standard form to single numbers
2. perform operations of addition,
 working out mentally
 identifying relations
subtraction, multiplication and division, involving any two numbers and state the answers in standard form
3. solve problems involving numbers in standard form
3
18/122/1/10
Chapter 2: Quadratic Expressions and Equations
2.1 Understand the concept of Quadratic Expression
2.2 Factorization quadratic expression
i. Identify quadratic expressions
ii. Form quadratic expressions by multiplying any two linear expressions
1. 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 expressions of the form px2 – q, p
and q are the perfect squares
 classifying
 arranging sequentially
 translating

4
25/1/29/1/10
2.3 Understand the concept of Quadratic Equation
iii Factorise quadratic expressions of the form ax2+ bx +
c, where a, b and c not equal to zero
iv Factorise quadratic expressions containing
 arranging sequentially
 arranging sequentially
 classifying

coefficients
with common factors
1. Identify quadratic equations with one unknown
2. Write quadratic equations in general form i.e.
ax2 + bx + c = 0
1. Form quadratic equations based on specific situations
 translating
5
1/25/2/10
2.4 Understand the concept of Roots of quadratic equations
1. determine whether a given value is a root of a specific quadratic equation
2. determine the solutions for quadratic equations by:
a) trial and error method
b) factorization
iii. solve problems involving quadratic equation
 comparing & differentiating
finding all possible solutions
6
8/212/2/10
Chapter 3: Sets
3.1 Understand the concept of Set
1. sort given objects into groups2. define sets by
a) descriptions
 making generalizations
 working out mentally
classifying

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
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
comparing and differentiating
7
14/221/10
CUTI TAHUN BARU CINA
8
22/226/2/10
3.2 Understand and use the concept of Subset, universal set and the complement of a set
1. determine whether a given set is a subset of a specific set and use the symbol or .
2. represent subset by using Venn diagram3. list the subsets for a specific set4. illustrate the relationship between set and
universal set using Venn diagram5. determine the complement of a given set6. determine the relationship between set,
subset,
universal set and the complement of a set
 classifying
 finding all possible solutions
 drawing diagrams
 identifying relations
 interpreting
9 3.3 Perform Operations on set
1. determine the intersection of  comparing and differentiating

10
1/312/3/10
a) two sets
b) three sets
and use the symbol
1. represent the intersection of sets using Venn diagram
2. state the relationship between
a) and A
b) and B
1. determine the complement of the intersection of sets
2. solve problems involving the intersection of sets.
3. determine the union of
a) two sets
b) three sets
and use the symbol
vii. represent the union of sets using Venn diagram
viii.state the relationship between
 drawing diagrams
 identifying relations
 interpreting
 translating
 making generalization
a) and A
b) and B
1. determine the complement of the union of sets
2. solve problems involving the union of sets3. determine the outcome of combined
operations on sets
xii. solve problems involving combined operations on sets
CUTI PERTENGAHAN PENGGAL 1 [ 1321 MAC 2010]
12
22/326/3/10
Chapter 4: Mathematical Reasoning
4.1 Understand the concept of Statement
i. determine whether a given sentence is a statement
ii. determine whether a given statement is true or false
1. construct true or false statement using given numbers and mathematical symbols
 Classifying
 Working out mentally
 Translating
 Interpreting

12 4.2 Understand the concept of Quantifiers “all” and “some”
i. construct statements using quantifier
a) all
 Working out mentally
 Identifying relations

b) some
ii. determine whether a statement that contains the quantifier “all” is true or false
1. determine whether a statement can be generalized to cover all cases by using the quantifier “all”
2. construct a true statement using the quantifier “all” or “some” given an object and a property”
13
29/32/4/10
4.3 Perform Operations Involving the words “not” or “ no” statements
i. change the truth value of a given statement by placing the word “not” into the original statement
ii. identify two statements from a compound statement that contains the word “and”
1. form a compound statement by combining two given statements using the word “and”
2. identify two statement from a compound statement that contains the word “or”
v. form a compound statement by combining two given statements using the word “or”
1. determine the truth value of a compound statement which is the combination of two statements with the word “and”
 working out mentally
 classifying

2. determine the truth value of a compound statement which is the combination of two statements with the word “or”
13
4.4 Understand the concept of Implication
i. identify the antecedent and consequent of an implication “if p, then q”
ii. write two implications from a compound statement containing “if and only if”
1. construct mathematical statements in the form of implication:
a) If p, then q
b) p if and only if q
1. determine the converse of a given implication
v. determine whether the converse of an implication is true or false
 working out mentally
 classifying

14
5/49/4/10
4.5 Understand the concept of Argument
1. identify the premise and 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
 Classifying
 Making inferences

1. complete an argument given a premise and the conclusion
14
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
1. make a conclusion for a specific case based on a given general statement, by deduction
2. make a generalization based on the pattern of a numerical sequence, by induction
3. use deduction and induction in problem solving
 classifying
 making inferences
 making generalization
 looking for patterns
 making analogy

15
12/416/4/10
Chapter 5: The Straight Line
5.l Understant the concept of gradient of a straight line
i. determine the vertical and horizontal distances between two given points on a straight line
ii. determine the ratio of vertical distance to horizontal distance
 Interpreting 
15
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:
 interpreting
 classifying

a) steepness
b) direction of inclination
of a straight line
16
19/423/4/10
5.3 Understand the concept of intercept
1. determine the xintercept and the yintercept of a straight line
2. derive the formula for the gradient of a straight line in terms of the xintercept and the yintercept
3. perform calculations involving gradient xintercept and yintercept
 interpreting 
17
26/430/4/10
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 yintercept
4. determine the gradient and yintercept of the straight line which equation is of the form:
a) y = mx + c
b) ax + by = c
1. find the equation of the straight line which:
a) is parallel to the xaxis
 drawing diagrams
 comparing and differentiating
 working out mentally

b) is parallel to the yaxis
c) passes through a given point and has a specific gradient
d) passes through two given points
1. find the point of the intersection of two straight lines by:
a) drawing the two straight lines
e) solving simultaneous equations18
3/57/5/09
19
10/5114/5/10
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 the straight line which passes through a given point and is parallel to another straight line
4. solve problems involving equations of straight lines
ULANGKAJI
PEPERIKSAAN PENGGAL 1 [ ]
 comparing and differentiating
(WEEK 2021)
CUTI GAWAI– [ 31/56/6 ]
(WEEK 22)
CUTI PERTENGAHAN TAHUN [720 JUN20 10]
(WEEK 2324)
25
21/625/6/10
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
1. calculate the size of a class interval
 working out mentally
 classifying
 making inferences

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
25
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 class2. verify the formula for the mean of
grouped data3. calculate the mean from the frequency
table of grouped data4. discuss the effect of the size of class
interval on the accuracy of the mean for a specific set of grouped data
 Interpreting
 Working out mentally
 Making inferences
 Identifying relations

25
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 involving histograms
 drawing diagrams
 interpreting

26
28/62/7/10
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
1. interpret information from a given frequency polygon
2. solve problems involving frequency polygon
 drawing diagrams
 interpreting

26 6.5 Understand the 1. construct the cumulative frequency table  working out 
concept of Cumulative frequency
for:
a) ungrouped data
b) grouped data
1. draw the ogive for:
a) ungrouped data
b) grouped data
mentally
 drawing diagrams
27
5/79/7/10
6.6Understand and use the concept of Measures of dispersion
1. determine the range of a set data2. determine:
a) the median
b) the first quartile
c) the third quartile
d) the interquartile range
from the ogive
1. interpret information from an ogive2. solve problems involving data
representations and measures of dispersion
 interpreting
 identifying relations

27 Chapter 7: Probability I
7.1Understand the concept of Sample space
1. determine whether an outcome is a possible outcome of an experiment
 Finding all possible solutions

ii. list all the possible outcomes of an experiment:
a) from activities
b) by reasoning
iii determine the sample space of an experiment
iv write the sample space by using set notations 28
12/7 16/7/10
7.2 Understand the concept of Events
1. identify the elements of a sample space which satisfy given conditions
ii. 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

28 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
ii. 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
1. solve problems involving probability2. predict the occurrence of an outcome and
make a decision based on known information
 identifying relations

v.
29
19/723/7/10
Chapter 8:
Circles III
8.1 Understand and use the concept of Tangents of a circle
1. identify tangents to a circle
ii. 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 point:
a) on the circumference of the circle
b) 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
 Working out mentally
 Drawing diagrams
 Identifying relations

29
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
4. solve problems involving tangent to a circle and angle in alternate segment
 identifying relations

30
26/730/7/10
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
1. 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
1. solve problems involving common tangents to two circles
2. solve problems involving tangents and common tangent
 comparing and differentiating
 Finding all possible solutions
 Identifying relations

31
2/86/8/10
Chapter 9:
Trigonometry 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 ycoordinate
b) the value of xcoordinate
 working out mentally
 interpreting
 identifying relations

c) the ratio of ycoordinate to xcoordinate
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)
c)
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
32
3/87/8/09
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 sine, cosine and tangent
33
16/820/8/10
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 sine, cosine and tangent for angles between 0º and 360º
3. solve problems involving graphs of sine, cosine and tangent
 drawing diagrams
 comparing and differentiating
 interpreting

34
23/827/8/10
35
36
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
1. represent a particular situation involving
a) the angle of elevation
b) the angle of depression, using diagrams
 working out mentally
 drawing diagrams
 identifying relations
1. solve problems involving the angle of elevation and the angle of depression
second mid semester Test
CUTI PERTENGAHAN PENGGAL 2 [2430 OGOS]
37
13/917/9/10
Chapter 11: Lines and Planes in 3dimensions
11.1Understand and use the concept of Angle between lines and planes
1. identify planes2. identify horizontal planes, vertical planes
and inclined planes3. sketch a three dimensional shape and
identify the specific planes4. identify5. identify normals to a given plane6. determine the orthogonal projection of a
line on a plane7. draw and name the orthogonal projection
of line on plane8. determine the angle between a line and a
plane
solve problems involving the angle between a line and a plane
 Comparing and differentiating
 Working out mentally
 Identifying relations

38,39
20/91/10/10
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 the two planes at a point on the line of intersection
3. determine the angle between two planes
 working out mentally
 drawing diagrams
 identifying relations

on a model and a given diagram
1. solve problems involving lines and planes in 3dimensional shapes
40,41,42
4/10 22/10/10
ULANGKAJI
  Revision
PEPERIKSAAN PENGGAL II [
]