BENGKEL MATHS TKC TINGKATAN 2 , 2022

KOLEJ TUNKU KURSHIAH
OLEH : PN SAZAZILA ABDULLAH

KOLEJ TUNKU KURSHIAH

BIODATA :
PENDIDIKAN : UNIVERSITI TEKNOLOGI

MALAYSIA , SKUDAI ( 1995-1999)

PENCERAMAH : PEMERIKSA PMR ( 2006 - 2013)
PN. SAZAZILA BINTI ABDULLAH

KETUA PANITIA MATEMATIK ,
SEKOLAH DATO’ ABDUL RAZAK

PENGALAMAN SEBAGAI PENCERAMAH
BENGKEL MATEMATIK :

PENCERAMAH : SEKOLAH MENENGAH SAINS
PN. SAZAZILA BINTI ABDULLAH REMBAU 2019 (BERSEMUKA) 2021

( BERSEMUKA /ONLINE) 2022
(0NLINE)

SMK SERI PAGI 2021 ( ONLINE)

PENCERAMAH : PENGALAMAN SEBAGAI PENCERAMAH
PN. SAZAZILA BINTI ABDULLAH BENGKEL MATEMATIK :

SMA DATO’ KLANA PETRA MAAMOR
2019

SMK TUNKU AMPUAN NAJIHAH
2019

SMA PERSEKUTUAN LABU 2019

SEK MEN SAINS TUANKU MUNAWIR
+

SEK MEN SAINS TUANKU AISHAH
ROHANI 2019

Objektif PROGRAM







PERALATAN YANG DIPERLUKAN SEMASA
PEPERIKSAAN

PEN , PENSEL , PEMADAM ,
PEMBARIS .



MASALAH UTAMA PELAJAR SEKARANG :

• 1. TIADA HALA TUJU , SEBAB APA MEREKA PERLU
BELAJAR.

• 2. BERFIKIRAN NEGATIF.
• 3. TIADA DAYA TUMPUAN BELAJAR DI DALAM KELAS.
• 4. TIDAK TAHU STRATEGI YANG BETUL UNTUK BELAJAR.
• 5. TIDAK TAHU MENGURUS MASA DENGAN BETUL .

TEKNIK MENJAWAB SOALAN MATEMATIK

• 1. WAJIB MEMBAWA KALKULATOR . 50%
KESALAHAN YANG DIBUAT OLEH MURID ADALAH
KESALAHAN MENGIRA/MENCONGAK .

CONTOH -3 + 4 = -7 X

2. SILA LIHAT FORMULA DI MUKA SURAT HADAPAN
SEBELUM MENJAWAB SOALAN YANG
MENGGUNAKAN FORMULA . CONTOH : PERIMETER
DAN LUAS,PEPEJAL DAN ISIPADU , KOORDINAT ,
TRANSFORMASI .

TEKNIK MENJAWAB SOALAN MATEMATIK

3. JIKA MASA TIDAK MENCUKUPI UNTUK
MENGHABISKAN SOALAN YANG BELUM DIBUAT,
JANGAN PANIK . FOKUSKAN PADA SOALAN YANG
MUDAH IAITU BAHAGIAN B SUPAYA TIDAK BERLAKU
KECUAIAN PADA SOALAN YANG MUDAH .





TOPICS IN FORM 2

1. PATTERNS AND
SEQUENCES

2. FACTORISATION AND
ALGEBRA FRACTIONS √

3. ALGEBRAIC FORMULAE

4. POLYGONS

5. CIRCLES

6. THREE DIMENSIONAL
GEOMETRICAL SHAPES

TOPICS IN FORM 2

7. COORDINATES

8.GRAPHS OF FUNCTION

9. SPEED AND
ACCELERATION

10.GRADIENT OF A STRAIGHT
LINE√

11. ISOMETRIC
TRANSFORMATIONS

12. MEASURES OF CENTRAL
TENDENCIES

13. SIMPLE PROBABILITY



CHAPTER 5 ALGEBRAIC
EXPRESSIONS

PN. SAZAZILA ABDULLAH

WORD BANK

letter - huruf
coefficient - pekali
variable - pemboleh ubah
term - sebutan
algebraic term - sebutan algebra
like terms - sebutan serupa
unlike terms - sebutan tidak serupa
algebraic expression - ungkapan algebra

What will you learn?

- Variables and algebraic expression
- Algebraic expressions involving basic arithmetic
operations

Why do you learn this chapter?

- In the field of algebra , you will learn the method to
represent an unknown value with a letter

5.1 Variables and algebraic expression

How do you use letters to represent variables ?
- A variable has a fixed value if the represented
quantity is always constat at any time .

A variable has a varied value if the represented
quantity changes over time .

Example 1

Represent the following variables with an appropriate
letter . Hence , determine whether the variable has a fixed
value or a varied value . Justify your answer .

a) The annual interest rate for a fixed deposit offered by a
bank

Solution
k represent the annual interest rate for a fixed deposit .
k has a fixed value because the interest rate for the fixed
deposit does not change throughout the year

How do derive an algebraic expression from a
situation ?



• x , x + 3 , x - 4 , x , 2x , 2x + y , 2xp are called
2

• algebraic expressions.
• Example 2
• Write an algebraic expression for the following

situation : Subtract 7 from a number , x .
• Solution :
• x -7

How do you determine the values of algebraic
expressions?

The value of an algebraic expression can be determined by
substituting the variables with given values .
Example 3 :
Given that x = 3 and y = 2 , find the value of 8x - 5y + 7
Solution
8x - 5y + 7 = 8 ( 3) - 5 (2) + 7

= 24 - 10 + 7
= 21

What are the terms and the coefficients in an
expression?

• In an expression , for example 2x + 3xy ,
• 2x is the product of the number 2 and the variable x .
• 3xy is the product of the number 3 and the variables x

and y .

• 2x and 3xy are known as algebraic terms .

• Example 4 ,
• Identify the algebraic terms for each of the following

algebraic expressions .
• a) x + 5x
• b) pq - 2q + 13
• Solution
• a) Algebraic terms are x and 5x
• b) Algebraic terms are pq , 2q and 13

• Example 5

• In term  3 k 2 mn , state the coefficient of

• a) k 2mn

• b) -mn

• Solution

• a) The coefficient of k 2mn is -3
• b) The coefficient of -mn is 3k 2

What are like terms and unlike terms ?

• -2m and 3 m is known like terms

7

• 2v and 2w is known unlike terms

Example 6

• Identify whether each of the following pairs of terms is like
terms or unlike terms

• a) 12pq , 12pr
• b) 3abc , 0.5bca
• Solution
• a) unlike terms
• b) like terms

5.2 Algebraic Expressions Involving Basic
Arithmetic Operations

How do you add and subtract two or more
algebraic expressions?

- When adding and subtracting two or more algebraic
expressions , gather the like terms first . Then , add
or subtract the like terms .

• Example 7

• Simplify each of the following

• a) ( 3x + 5y) + ( 8x - y - 9 )

• b) ( 12mn - 4p ) + ( 6+7p) - (10mn + p - 2)

• Solution

• a) 3x + 5y + 8x - y - 9

• = 3x + 8x + 5y - y - 9 .... gather the like terms

• = 11x + 4y - 9 ..... simplify the like terms

• Example 7

• b) ( 12mn - 4p ) + ( 6+7p) - (10mn + p - 2)

• Solution

• a) 12mn - 4 p + 6 + 7p - 10mn - p + 2

• = 12mn - 10mn - 4p + 7p - p + 6 + 2 .... gather the like terms

• = 2mn + 2p + 8 ..... simplify the like terms

What is the product of the repeated multiplication
of algebraic expressions?

 (a + b ) x (a +b) x (a +b) x ... x ( a +b) = a  b n

• Example 8
• Simplify each of the following
• a) m x m x m x m
• b) (x +7) x (x + 7 )
• Solution

• a) m x m x m x m = m 4

• b) (x +7) x (x + 7 ) = ( x  7)2

How do you multiply and divide algebraic
expressions ?

To find the product of algebraic expressions with one
term , gather all the same variables , and then multiply
the number with number and the variable with variable .

• Example 9
• Simplify

• a)3ab 2  4a3b

• b) 20m 4n2  5m 2n3

• Solution :

• a) 3  4  ab 2  a3b

 12a 4b3

a) 20m 4n2  5m 2n3

 20m 4n2  4m2
5m 2 n 3 n



CHAPTER 6

LINEAR EQUATIONS

PN. SAZAZILA ABDULLAH

How do you solve linear equations in one
variable ?

The reading shown by the scales is equal to the total
mass of both the blocks . Therefore , the linear
equation formed is x + 6 = 10

• If we replace the x kg block with a block of a mass of 4
kg , the reading on the scales is equal to 10 kg .

• This shows that 4 is a numerical value is known as the
solution of the equation x + 6 =10 .

• The solution of linear equation is the numerical value
that satisfies the equation .

Example 1

Solve the following equations :

a) x  10  3

b) y  2  5 d) 4 x = 12
x 4

c) 5
Solution
a) x = 3 + 10

= 13

Example 1

Solve the following equations :

a) x  10  3

b) y  2  5 d) 4x = 12
x 4

c) 5
Solution
b) y = 5 - 2

=3

Example 1

Solve the following equations :

a) x  10  3

b) y  2  5 d) 4x = 12
x 4

c) 5
Solution
c) x = 5 x 4

= 20

Example 1

Solve the following equations :

a) x  10  3

b) y  2  5

x 4 d) 4x = 12
c) 5

Solution

d) 12
4
x   3

Example 1

Solve the following equations :

a) x  10  3

b) y  2  5

x 4 d) 4x = 12
c) 5

Solution

d) 12
4
x   3