SOWMM IGCSE F1 2022 MRSM KK

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MATHEMATICS CURRICULUM SCHEME OF WORKS
CAMBRIDGE SECONDARY / NATIONAL CURRICULUM (KSSM)
MATHEMATICS CHECKPOINT (0862), MATHEMATICS IGCSE (0580)

FORM 1 2022

SEMESTER 1 & 2

* SUBJECT CONTENT IS BASED ON SYLLABUS CAMBRIDGE MATHEMATICS 0580 FOR EXAMINATION IN
JUNE AND NOVEMBER 2023 and 2024.
* CURRICULUM FRAMEWORK CAMBRIDGE LOWER SECONDARY MATHEMATICS 0862 published September
2020

SESSION: 18 MAC 2022 – 27 FEB 2023 SEMESTER: 1&2
FORM:
TEACHER’S NAME: ONE

ZAQUIAH FARHA BT ZAINAL (COORDINATOR) - 1 ZAMRUD
TERESAH BINTI KUMILAU – 1 NILAM

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SEMESTER 1

NO. IGCSE SUB-TOPICS SUBJECT CONTENTS DURATION DSKP TOPICS & SUB-TOPICS NOTES
(0580) (week) (MOE)
1 DIRECTED  KAM CHAPTER 1
NUMBERS  Introduction to Directed E1.4 Use directed numbers in 1 1.0 RATIONAL NUMBERS  Refer NOTES in
1.1 Integers
Numbers practical situations. 18/04/2022 DSKP
- 1.1.1 Recognise positive and negative Mathematics Form
 Everyday use of Directed SECONDARY 1 FRAMEWORK numbers based on real-life situations. 1 (Chapter1)
22/04/2022
Numbers CODES : 7Ni1, 8Ni.02, 8Ni.04 1.1.2 Recognise and describe integers.
1.1.3 Represent integers on a number lines
 The Number Line
and make connections between the
 Adding and subtracting values and positions of the integers
with respect to other integers on the
Directed Numbers number line.
1.1.4 Compare and arrange integers in order.
 Multiplying and dividing

Directed Numbers

1.2 Basic arithmetic operations
involving integers

1.2.1 Add and subtract integers using
number lines or other appropriate
methods. Hence, make generalisation
about addition and subtraction of
integers.

1.2.2 Multiply and divide integers using
various methods. Hence make
generalisation about multiplication and
division of integers.

1.2.3 Perform computations involving
combined basic arithmetic operations of
integers by following the order of
operations.

1.2.4 Describe the laws of arithmetic
operations which are Identity Law,
Communicative Law, Associative Law
and Distributive Law.

1.2.5 Perform efficient computations using

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the laws of basic arithmetic operations
1.2.6 Solve problems involving integers

2 NUMBER  Multiple of whole E1.1 Identify and use natural 1 2.0 FACTORS AND MULTIPLES  KAM CHAPTER 2
numbers, integers 2.1 Factors, prime factors and Highest Refer NOTES in
numbers (positive, negative and 25/04/2022 DSKP
 Factors of whole zero), prime numbers, - Common Factor (HCF) Mathematics Form
square and cube numbers, 1 (Chapter 2)
numbers common factors and 29/04/2022 2.1.1 Determine and list the factors of whole
 Prime Numbers common multiples, rational numbers, hence make generalisation
 Prime Factorisation and irrational numbers about factors.
 HCF&LCM (e.g.π, 2 ), real numbers,
 Real Numbers reciprocals. 2.1.2 Determine and list the prime factors of
a whole number, hence express the
Notes: number in the form of prime
Includes expressing factorisation.
numbers as a product of
prime factors. 2.1.3 Explain and determine common factors
of whole numbers.
Finding the LCM and HCF
of two numbers 2.1.4 Determine HCF of two and three whole
numbers.

2.1.5 Solve problems involving HCF.

2.2 Multiples, common multiples and
lowest common multiples (LCM)

SECONDARY 1 2.2.1 Explain and determine common
FRAMEWORK CODES : multiples of whole numbers.
7Ni.01, 7Ni.02, 7Ni.03,
7Ni.04, 7Ni.05, 8Ni.03, 2.2.2 Determine LCM of two and three whole
9Ni.01, 9Ni.02, 9Ni.03, numbers.

2.2.3 Solve problems involving LCM.

1.3 Positive and negative fractions

3 FRACTIONS,  Equivalent Fractions E1.5 Use the language and 1  KSSR topic
(revision only)
PERCENTAGE  Fractions and Decimals notation of simple vulgar 09/05/2022 1.3.1 Represent positive and negative
S & FOUR and decimals fractions and - fractions on number lines.  Refer NOTES in
RULES percentages in appropriate DSKP
contexts. 13/05/2022 1.3.3 Compare and arrange positive and
negative fractions in order.

Recognise equivalence 1.3.4 Perform computations involving Mathematics Form
and convert between these combined basic arithmetic operations of 1 (Chapter1)
forms. positive and negative fractions by
following the order of operations.  KSSR topic
(revision only)
1.3.5 Solve problems involving positive and

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 Recurring Decimals Notes: negative fractions.  Refer NOTES in
Includes the conversion of DSKP
 Order of Operations recurring decimals to fractions, 1.4 Positive and negative decimals Mathematics Form
 Choosing the Correct e.g. change 0.7 to a fraction. 1 (Chapter1)
1.4.1 Represent positive and negative
Operation E1.8 Use the four rules for decimals on number lines.
 Finding a fraction of a calculations with whole
numbers, decimals and 1.4.2 Compare and arrange positive and
quantity fractions (including mixed negative decimals in order.
 Adding and subtracting numbers and improper
fractions) including correct 1.4.3 Perform computations involving
fractions ordering of operations and combined basic arithmetic operations of
Multiplying and dividing use of brackets. positive and negative decimals by
fractions following the order of operations.
Notes:
Apply to positive and 1.4.4 Solve problems involving positive and
negative numbers. negative decimals.

SECONDARY 1 FRAMEWORK 1.5 Rational Numbers
CODES : 7Nf.01, 7Nf.02, 7Nf.03,
7Nf.04, 7Nf.05, 7Nf.06, 7Nf.07, 1 .5.1 Recognise and describe rational
7Nf.08, 8Nf.01, 8Nf.02, 8Nf.03, numbers.
8Nf.04, 8Nf.05, 8Nf.06, 8Nf.07,
8Nf.08, 9Nf.01, 9Nf.02, 9Nf.03, 1 .5.2 Perform computations involving
9Nf.04, 9Nf.06, combined basic arithmetic operations of
rational numbers by following the order
of operations.

1 .5.3 Solve problems involving rational
numbers.

4 ESTIMATION  Rounding Whole E1.9 Make estimates of 1 *Understand that
numbers, quantities and when a number is
Numbers rounded there are
upper and lower
 Rounding decimals lengths, give 16/05/2022 limits for the original
number.
 Rounding to significant approximations to specified -

figures numbers of significant 20/05/2022

figures and decimal places

and round off answers to

reasonable accuracy in the

context of a given problem.

SECONDARY 1 FRAMEWORK
CODES : 7Np.01, 7Np.02,
8Np.01, 8Np.02, 9Np.02

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5 POWER AND  Squares and square roots E1.3 Calculate squares, square 3.0 SQUARES, SQUARE ROOTS,  KAM CHAPTER 3

ROOTS  Cubes and cube roots roots, cubes and cube 1 CUBES AND CUBE ROOTS  Refer NOTES in
roots and other powers DSKP

and roots of numbers. 24/05/2022 3.1 Squares and square roots Mathematics Form

- 1 (Chapter3)
Notes: 27/05/2022 3.1.1 Explain the meaning of squares and
Work out 32 × 4 16. perfect squares.

3.1.2 Determine whether a number is a

perfect square.

3.1.3 State the relationship between squares

SECONDARY 1 FRAMEWORK and square roots.

CODES : 7Ni.06, 8Ni.01, 9Ni.04 3.1.4 Determine the square of a number with

and without using technological tools.

3.1.5 Determine the square roots of a

number without using technological

tools.

3.1.6 Determine the square roots of a

positive number using technological

tools.

3.1.7 Estimate

(i) the square of a number,

(ii) the square roots of a number.

3.1.8 Make generalisation about

multiplication involving:

(i) square roots of the same numbers,

(ii) square roots of different numbers.

3.1.9 Pose and solve problems involving

squares and square roots.

3.2 Cubes and cube roots

3.2.1 Explain the meaning of cubes and
perfect cubes.

3.2.2 Determine whether a number is a
perfect cube.

3.2.3 State the relationship between cubes
and cube roots.

3.2.4 Determine the cube of a number with
and without using technological tools.

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3.2.5 Determine the cube root of a number
without using technological tools.

3.2.6 Determine the cube root of a number
using technological tools.

3.2.7 Estimate
(i) the cube of a number,
(ii) the cube root of a number.

3.2.8 Solve problems involving cubes and
cube roots.

3.2.9 Perform computations involving
addition, subtraction, multiplication,
division and the combination of those
operations on squares, square roots,
cubes and cube roots.

NO. IGCSE SUB-TOPICS SUBJECT CONTENTS DURATION DSKP TOPICS AND SUBTOPICS (CS NOTES
(0580)
(week) MOE)

6 ALGEBRAIC  The Language of E2.1 Use letters to express 1 5.0 ALGEBRAIC EXPRESSIONS  KAM CHAPTER
generalised numbers 30/05/2022 5.1 5
REPRESENTATIONS  algebra and express basic Variables and algebraic
AND FORMULAE Substitution into arithmetic processes - expression Refer NOTES in
algebraically. 03/06/2022 DSKP
formulae Mathematics Form
Substitute numbers for 1 (Chapter 5)
words and letters in 5.1.1 Use letters to represent quantities
complicated formulae with unknown values. Hence state
whether the value of the variable
SECONDARY 1 varies or fixed with justification.
FRAMEWORK CODES :
7Ae.01, 7Ae.02, 7Ae.03, 5.1.2 Derive algebraic expressions
7Ae.04, 7Ae.05, 7Ae.06, based on arithmetic expressions
that represent a situation.
7Ae.07, 8Ae.01
5.1.3 Determine the values of algebraic
expressions given the values of
variables and make connection
with appropriate situations.

5.1.4 Identify the terms in an algebraic
expression. Hence, state the

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possible coefficients for the
algebraic terms.
5.1.5 Identify like and unlike terms

7 ALGEBRAIC  Simplifying E2.2 Manipulate directed 2 5.2 Algebraic expressions  KAM CHAPTER
MANIPULATIONS expressions numbers. involving basic arithmetic 5
14/06/2022 operations
8 SOLUTIONS OF Use brackets and extract - Refer NOTES in
EQUATIONS I common factors. 5.2.1 Add and subtract two or more DSKP
Note: 24/06/2022 algebraic expressions. Mathematics Form
e.g. 3 3 − 4 1 (Chapter 5)
5.2.2 Make generalisation about
Expand product of repeated multiplication of algebraic *laws of arithmetic
algebraic expressions. expressions. and order of
Note: operations apply to
e.g. + 4 ( − 7) 5.2.3 Multiply and divide algebraic algebraic terms
expressions with one term. and expressions
SECONDARY 1 (four operations,
FRAMEWORK CODES : squares and
8Ae.02, 9Ae.01 cubes).

 Solving linear E2. 5 Derive and solve simple 2 6.0 LINEAR EQUATIONS  KAM CHAPTER
equations linear equations in one 6. 1 Linear equations in one variable 6
unknown. 27/06/2022
 Setting up equations - 6.1.1 Identify linear equations in one Refer NOTES in
SECONDARY 1 variable and describe the DSKP
FRAMEWORK CODES : 07/07/2022 characteristics of the equations. Mathematics Form
9Ae.05 1 (Chapter 6)
6.1.2 Form linear equations in one
variable based on a statement or a
situation, and vice-versa.

6.1.3 Solve linear equations in one
variable.

6.1.4 Solve problems involving linear
equations in one variable.

 Simultaneous equations E2.5 Derive and solve 6. 2 Linear equations in two
simultaneous linear variables

equations in two 6.2.1 Identify linear equations in two
variables and describe the
unknowns.

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SECONDARY 1 characteristics of the equations.
FRAMEWORK CODES : 6.2.2 Form linear equations in two
9Ae.06
variables based on a statement or
OLYMPIAD KAT 1 a situation, and vice-versa.
6.2.3 Determine and explain possible
SEMESTER 1 solutions of linear equations in
two variables.
6.2.4 Represent graphically linear
equations in two variables.

6. 3 Simultaneous linear equations
in two variables

6.3.1 Form simultaneous linear equations
based on daily situations. Hence,
represent graphically the
simultaneous linear equations in two
variables and explain the meaning
of simultaneous linear equations.

6.3.2 Solve simultaneous linear equations
in two variables using various
methods.

6.3.3 Solve problems involving
simultaneous linear equations in two
variables.

9 SOLUTIONS OF  Solving inequalities E1.6 Order quantities by 1 7.0 LINEAR INEQUALITIES
INEQUALITIES magnitude and
demonstrate familiarity 7. 1 Inequalities
with the symbols =, ≠,
<,>, ⩾, ⩽ 12/07/2022 7.1.1 Compare the values of numbers,

- describe inequality and hence,

15/07/2022 form algebraic inequality.\

7.1.2 Make generalisation about

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E2.5 Derive and solve linear inequality related to

inequalities. (i) the converse and transitive

Notes: properties, additive and

Including representing and multiplicative inverse,

interpreting inequalities on (ii) basic arithmetic operations.

a number line.

Interpretation of results 7. 2 Linear inequalities In one

may be required. variable

7.2.1 Form linear inequalities based on

SECONDARY 1 daily life situations, and vice-versa.

FRAMEWORK CODES : 7.2.2 Solve problems involving linear

8Ae.07, 9Ae.07 inequalities in one variable.

7.2.3 Solve simultaneous linear

inequalities in one variable.

Refer NOTES in

10 RATIO, PROPORTION  Ratio E1.11 Demonstrate an 1 4.0 RATIOS, RATES AND DSKP
AND RATE Mathematics Form
 Increases and understanding of ratio and PROPORTIONS 1 (Chapter 4)

decreases using ratio proportion. 18/07/2022 4. 1 Ratio

 Rates -

 Direct proportion Increase and decrease a 22/07/2022 4.1.1 Represent the relation between
 Inverse proportion quantity by a given ratio. three quantities in the form of
a: b: c.

Use common measures of 4.1.2 Identify and determine the

rate. equivalent ratios in numerical,

geometrical or daily situation

Notes: contexts

 Include numerical 4.1.3 Express ratios of two and three
problems involving direct quantities in simplest form.

and inverse proportions.

4. 2 Rates

 Use ratio and scales in 4.2.1 Determine the relationship between
practical situations. ratios and rates.

 Formulae for other rates 4. 3 Proportion
will be given in the

questions. 4.3.1 Determine the relationship

SECONDARY 1 between ratio and proportions.
FRAMEWORK CODES : 4.3.2 Determine an unknown value in a
7Nf.09, 7Nf.10, 7Nf.11, 8Nf.09,
proportion.

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8Nf.10, 8Nf.11, 9Nf.07, 9Nf.08

4. 4 Ratio , Rates and Proportions

4.4.1 Determine the ratio of three
quantities, given two or more
ratios of two quantities

4.4.2 Determine the ratio or the related
value given
(i) the ratio of two quantities and
the value of one quantity.
(ii) the ratio of three quantities and
the value of one quantity.

4.4.3 Determine the value related to a
rate.

4.4.4 Solve problems involving ratios,
rates and proportions, including
making estimations

4. 5 Relationship between ratio, rates
and proportion, with
percentages, fractions and
decimals

4.5.1 Determine the relationship between
percentages and ratio.

4.5.2 Determine the percentage of a
quantity by applying the concept of
proportions.

4.5.3 Solve problems involving
relationship between ratio, rates
and proportion with percentages,
fractions and decimals.

11 APPLYING NUMBER  Unit of E1.13 Use a calculator 1  Including
AND USING hectares (ha),
CALCULATORS measurements efficiently. square metres
(m²), square
 Converting between Apply appropriate checks 25/07/2022 centimetres
(cm²) and
metric units of accuracy. - square

 Time 29/07/2022

 Currency E1.14 Calculate times in terms

conversions of the 24-hour and 12-

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 Using a calculator hour clock. EDARAN
efficiently. Read clock, dials and
timetables. millimetres
(mm²).
E1.15 Calculate using money
and convert from one  Convert
currency to another. between units
including units
E5.1 Use current units of mass, of area and
length, area, volume and volume.
capacity in practical
situations and express Includes discount,
quantities in terms of profit and loss.
larger or smaller units. Knowledge of
compound interest
SECONDARY 1 formula is required.
FRAMEWORK CODES : Value of
7Gg.04, 8Gg.03, 9Gg.02 investment =

SEMESTER 2 P1  r  n
 100 
12 PERCENTAGES  Percentages, fractions E1.12 Calculate a given 1
and decimals percentage of a quantity. where P is the
08/08/2022 amount invested, r
 Calculating a Express one quantity as - is the percentage
percentage a percentage of another. rate of interest and
12/08/2022 n is the number of
 Increasing or Calculate percentage years of compound
decreasing quantities increase or decrease.
by a percentage REVIEWED OCTOBER 2021
Carry out calculations
 Expressing one involving reverse
quantity as a percentages.
percentage of another
E1.16 Use given data to solve
 Simple interest and problems on personal
compound interest and household finance

 A formula for
compound interest

 Reverse percentage

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involving earnings, interest.
simple interest and e.g. depreciation,
compound interest. bacteria growth

Extract data from tables
and charts.

Knowledge of compound
interest formula is
required

E1.17 Use exponential growth
and decay in relation to
population and finance.

SECONDARY 1
FRAMEWORK CODES :
9Nf.05

8. 0 LINES AND ANGLES  Refer NOTES

13 GEOMETRICAL  Constructing shapes E4.2 Measure and draw 1 in DSKP
CONSTRUCTIONS I  Bisectors lines and angles.
8.1 Lines And Angles Mathematics
14 STATISTICAL Construct a triangle given
REPRESENTATION the three sides using a 15/08/2022 Form 1
ruler and pair of
compasses only. - 8.1.6 Construct (Chapter 8)

SECONDARY 1 19/08/2022 (i) line segments,  Construct
FRAMEWORK CODES :
7Gg.14, 8Gg.12, 9Gg.11 (ii) perpendicular bisectors of line triangles,

segments, midpoint and

(iii) perpendicular line to a straight perpendicular

line, bisector of a
(iv) parallel lines and explain the
line segment,
rationale of construction steps.
and the
8.1.7 Construct angles and angle
bisector of an
bisectors and explain the rationale of
angle.
construction steps.

 Frequency tables E9.1 Collect, classify and 2 12.0 DATA HANDLING  Refer NOTES in
 Pictograms tabulate statistical data. DSKP
 Bar charts 22/08/2022 12. 1 Data collection, organization Mathematics
 Line graphs E9.2 Read, interpret and draw - and representation process, Form 1
 Waffle diagram and inferences from tables and and interpretation of data (Chapter 12)
15/09/2022

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Pie charts statistical diagrams representation
 Scatter diagrams Compare sets of data
 Histograms using tables, graphs 12.1.1 Generate statistical questions and
 Frequency Polygon Appreciate restrictions on collect relevant data.
drawing conclusions from
 Stem And Leaf given data 12.1.2 Classify data as categorical or
 Venn and Carroll numerical and construct
E9.3 Construct and interpret bar frequency tables.
Diagram charts, pie charts,
 Tally charts and two- pictograms, stem-and-leaf 12.1.3 Construct data representation for
diagrams, simple ungrouped data and justify the
way tables frequency distributions, appropriateness of a data
histograms with equal representation.
 Dual and compound intervals and scatter
bar charts diagrams. 12.1.4 Convert a data representation to
other suitable data
 frequency diagrams representations with justification.
for continuous data
12.1.5 Interpret various data
 infographics. representations including making
inferences or predictions.
E9.7 Understand what is
meant by positive, 12.1.6 Discuss the importance of
negative and zero representing data ethically in
correlation with order to avoid confusion.
reference to a scatter
diagram.

E9.8 Draw, interpret and use
lines of best fit by eye.

SECONDARY 1
FRAMEWORK CODES :
7Ss.01, 7Ss.02, 7Ss.03,
8Ss.01, 8Ss.02, 8Ss.03,
9Ss.01, 9Ss.02, 9Ss.03

15 ORDERING AND SET  Set E1.2 Use language, notation 2 11.0 INTRODUCTION TO SET  Refer NOTES
NOTATION and Venn diagrams to in DSKP
describe sets and 19/09/2022 11.1 Set Mathematics
represent relationships - 11.1.1 Explain the meaning of set. Form 1
between sets. 11.1.2 Describe sets using: (Chapter 11)
30/09/2022
Definition of sets e.g. (i) description,
(ii) listing, and
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A = {x: x is a natural (iii) set builder notation.
11.1.3 Identify whether an object is an
number} B=
element of a set and represent the
{(x,y): y = mx + c} relation using symbol.
C = {x: a ⩽ x ⩽ b} 11.1.4 Determine the number of elements
of a set and represent the number
D = {a, b, c, …} of elements using symbol.
11.1.5 Compare and explain whether two
Notation or more sets are equal, hence,
Number of elements in set A; make generalisation about the
n(A) equality of sets
“…is an element of…” A;
11. 2 Venn diagrams ,universal sets,
 complement of a set and
subsets
“…is not an element of…”;
∉ 11.2.1 Identify and describe universal
Complement of set A; sets and complement of a set.

A' 11.2.2 Represent
(i) the relation of a set and
The empty set; universal set, and
(ii) complement of a set
 using Venn diagrams.

Universal set; 11.2.3 Identify and describe the possible
A is a subset of B; subsets of a set.
A⊆B
A is a proper subset of B; A 11.2.4 Represent subsets using Venn
⊂B diagrams.
A is not a subset of B;
A⊈B 11.2.5 Represent the relations between
A is not a proper subset of B; A sets, subsets, universal sets and
⊄B complement of a set using Venn
Union of A and B; diagrams.

AB (FORM 4)
4.0 OPERATIONS ON SETS
Intersection of A and B;
4.1 Intersection of Sets
AB 4.1.1 Determine and describe the
intersection of sets using various
representations.
4.1.2 Determine the complement of the

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intersection of sets.
4.1.3 solve problems involving the
intersection of sets

4.2 Union of Sets
4.2.1 Determine and describe the union of
sets using various representations.
4.2.2 Determine the complement of the
union of sets
4.2.3 Solve problems involving the union
of sets

4.3 Combined Operations on Sets  Refer NOTES
4.3.1 Determine and describe the in DSKP
combined operations on sets using Mathematics
various representations. Form 4
4.3.2 Determine the complement of (Chapter 4)
combined operations on sets
4.3.3 Solve problems involving combined
operations on sets.

16 ANGLE AND LINES  Angle facts E4.1 Use and interpret the 1 8. 0 LINES AND ANGLES  Refer NOTES

(ANGLE PROPERTIES)  Parallel lines geometrical terms: point, in DSKP

line, parallel, right angle, 03/10/2022 8. 1 Lines and angles Mathematics

acute, obtuse and reflex - 8.1.1 Determine and explain the Form 1

angles, perpendicular. 07/10/2022 congruency of line segments and (Chapter 8)

angles

E4.7 Calculate unknown 8.1.2 Estimate and measure the size of  Include angles

angles line segments and angles, and of elevation &

using the following explain how the estimation is depression

geometrical properties: obtained.

 angles at a point 8.1.3 Recognise, compare and explain

 angles at a point on the properties of angles on a

a straight line and straight line, reflex angles, and one

intersecting straight whole turn angles.

lines 8.1.4 Describe the properties of
complementary angles,
 angles formed within supplementary angles and
parallel lines
conjugate angles.

SECONDARY 1 8.1.5 Solve problems involving

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FRAMEWORK CODES : complementary angles,
7Gg.13, 8Gg.11 supplementary angles and
conjugate angles.
16
8. 2 Angles related to intersecting
lines

8.2.1 Identify, explain and draw vertically
opposite angles and adjacent
angles at intersecting lines,
including perpendicular lines.

8.2.2 Determine the values of angles
related to intersecting lines, given
the values of other angles.

8.2.3 Solve problems involving angles
related to intersecting lines.

8. 3 Angles related to parallel lines
and transversals

8.3.1 Recognise, explain and draw
parallel lines and transversals.

8.3.2 Recognise, explain and draw
corresponding angles, alternate
angles and interior angles.

8.3.3 Determine whether two straight
lines are parallel based on the
properties of angles related to
transversals.

8.3.4 Determine the values of angles
related to parallel lines and
transversals, given the values of
other angles.

8.3.5 Recognise and represent angles of
elevation and angles of depression
in real-life situations.

8.3.6 Solve problems involving angles
related to parallel lines and
transversals.

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17 TRIGONOMETRY  Pythagoras’ Theorem E6.2 Apply Pythagoras’ 2 13.0 THE PHYTHOGORAS  Refer NOTES
 Trigonometric ratios theorem and the sine, THEOREM in DSKP
 Calculating angles cosine and tangent 10/10/2022 Mathematics
 Using Cosine, Sine ratios for acute angles to - 13. 1 The Pythagoras theorem Form 1
the calculation of a side (Chapter 13)
and Tangent functions or of an angle of a right- 21/10/2022 13.1.1 Identify and define the
 Which ratio to use angled triangle. hypotenuse of a right angled
triangle.
Angles will be quoted in
degrees. Answers should 13.1.2 Determine the relationship
be written in degrees and between the sides of right-angled
decimals to 1 decimal triangle. Hence, explain the
place. Pythagoras theorem by referring
to the relationship.
Solve trigonometric
problems in two 13.1.3 Determine the lengths of the
dimensions involving unknown side of
angles of elevation and of (i) a right-angled triangle
depression. (ii) combined geometric shapes

13.1.4 Solve problems involving the
Pythagoras theorem

13. 2 The converse of Pythagoras
theorem

NOTE: 13.2.1 Determine whether a triangle is a
Know that the right-angled triangle and give
perpendicular distance justification based on the
from a point to a line is converse of the Pythagoras
the shortest distance to a theorem.
line
13.2.2 Solve problems involving the
SECONDARY 1 converse of the Pythagoras
FRAMEWORK CODES : theorem.
9Gg.10
(FORM 3)
5.0 TRIGONOMETRIC RATIOS  Refer NOTES
in DSKP
5.1 Sine, Cosine and Mathematics
Tangent of Acute Form 3
Angles in Right- (Chapter 5)
angled Triangles

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5.1.1. Identify the opposite side and
adjacent side based on an acute
angle in a right-angled triangle.

5.1.2. Make and verify the conjecture
about the relationship between
acute angles and the ratios of the
sides of right-angled triangles, and
hence define sine, cosine and
tangent.

5.1.3. Make and verify the conjecture
about the impact of changing the
size of the angles on the values of
sine, cosine and tangent.

5.1.4. Determine the values of sine, cosine
and tangent of acute angles.

5.1.5. Determine the values of sine cosine
and tangent of 30o, 45o and 60o
angles without using a calculator

5.1.6. Perform calculations involving sine,
cosine and tangent.

5.1.7. Solve problems involving sine,
cosine and tangent.

18 TRIANGLES AND  Angles in a triangle E4.1 Use and interpret 1 9.0 BASIC POLYGONS  Refer NOTES
QUADRILATERALS vocabulary of triangles, in DSKP
(ANGLE PROPERTIES)  Angles in a quadrilaterals, polygons. 31/10/2022 9. 1 Polygons Mathematics
quadrilateral - Form 1
E4.5 Use the basic congruence 9.1.1 State the relationship between the (Chapter 9)
criteria for triangles (SSS, 04/11/2022 number of sides, vertices and
ASA, SAS, RHS). diagonals of polygons.

E4.7 Angle properties of 9.1.2 Draw polygons, label vertices of
triangles and polygons and name the polygons
quadrilaterals based on the labelled vertices.

SECONDARY 1 9. 2 Properties of triangles and the
FRAMEWORK CODES : interior and exterior angles of
8Gg.01, 8Gg.10, 9Gg.09 triangles

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9.2.1 Recognise and list geometric
properties of various types of
triangles. Hence classify triangles
based on geometric properties.

9.2.2 Make and verify conjectures about
(i) the sum of interior angles,
(ii) the sum of interior angle and
adjacent exterior angle,
(iii) the relation between exterior
angle and the sum of the
opposite interior angles
of a triangle

9.2.3 Solve problems involving triangles.

9. 3 Properties of quadrilaterals and
the interior and exterior angles
of quadrilaterals

9.3.1 Describe the geometric properties
of various types of quadrilaterals.
Hence classify quadrilaterals based
on the geometric properties.

9.3.2 Make and verify the conjectures
about
(i) the sum of interior angles of a
quadrilateral,
(ii) the sum of interior angle and
adjacent exterior angle of a
quadrilateral, and
(iii) the relationship between the
opposite angles in a
parallelogram.

9.3.3 Solve problems involving
quadrilaterals.

9.3.4 Solve problems involving the
combinations of triangles and
quadrilaterals.

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19 POLYGONS (ANGLE  Regular Polygons E4.7 Calculate unknown angles 1 (FORM 2)  Refer NOTES
 Irregular Polygons using the following 4.0 POLYGONS in DSKP
PROPERTIES) geometrical properties: 02/01/2023 Mathematics
- 4.1 Regular Polygons Form 2
 angle properties of (Chapter 4)
regular polygons 06/01/2023

 angle properties of 4.1.1 Describe the geometric properties of
irregular polygons regular polygons using various
representations.
SECONDARY 1 4.1.2 Construct regular polygons using
FRAMEWORK CODES : various methods and explain the
7Gg.01,7Gg.11, 7Gg.12, rationales for the steps of construction.

9Gg.07, 9Gg.08 4.2 Interior Angles And Exterior Angles
Of Polygons
4.2.1 Derive the formula for the sum of
interior angles of a polygon.
4.2.2 Make and verify conjectures about
the sum of exterior angles of a polygon.
4.2.3 Determine the values of interior
angles, exterior angles and the number
of sides of a polygon.
4.2.4 Solve problems involving polygons.

20 PERIMETER AND AREA  Perimeter and area E5.2 Carry out calculations 1 10.0 PERIMETER AND AREA  Refer NOTES
of a rectangle involving the in DSKP
(MENSURATION)  perimeter and area of 09/01/2023 10. 1 Perimeter Mathematics
Area of triangle a rectangle, triangle, - 10.1.1 Determine the perimeter of various Form 1
 Area of parallelogram and (Chapter 10)
parallelogram trapezium and 13/01/2023 shapes when the side lengths are
compound shapes given or need to be measured.  Know that
 Area of trapezium derived from these 10.1.2 Estimate the perimeter of various land area is
shapes, and then evaluate the measured in
SECONDARY 1 accuracy of estimation by hectares (ha),
FRAMEWORK CODES : comparing with the measured and that 1
7Gg.05, 8Gg.04, 9Gg.03* (Not value. hectare =
including circles) 10.1.3 Solve problems involving 10000m2;
perimeter. convert
between
10. 2 Area of triangles,

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parallelograms, kites and hectares and
trapeziums. square metres
10.2.1 Estimate area of various shapes
using various methods.
10.2.2 Derive the formulae of the area of
triangles, parallelograms, kites and
trapeziums based on the area of
rectangles
10.2.3 Solve problems involving areas of
triangles, parallelograms, kites,
trapeziums and the combinations
of these shapes.

10. 3 Relationship between perimeter
and area

10.3.1 Make and verify the conjecture
about the relationship between
perimeter and area.

10.3.2 Solve problems involving perimeter
and area of triangles, rectangles,
squares, parallelograms, kites,
trapeziums and the combinations
of these shapes.

2 WEEKS

PREPARATION/REVISION 16/01/2023
-
TOTAL (WEEKS)
27/01/2023
Prepared by,
25
________f_a__r_h_a___________________
Verified by,
ZAQUIAH FARHA BT ZAINAL
FORM 1 IGCSE COORDINATOR ________________________________
IRMA ROHAIZA BT IBRAHIM
HEAD OF MATHEMATICS DEPARTMENT

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