NATIONAL LEARNING CAMP GRADE 8 MATH-LESSON 20.pptx

1. Expand 3(5𝑥− 12)
2. Factorize 15𝒂𝟐
+ 30𝑎
3. Expand and collect like
terms to simplify
5( 3𝑡 − 4) + 6( 4 − 5𝑡).
4. Factorize 𝒙𝟐
+ 9𝑥 + 20
𝟐

1. Expand 3(5𝑥− 12)
Answer: 15x - 36
2. Factorize 15𝒂𝟐
+ 30𝑎
Answer: 15(a+2)

3. Expand and collect like
terms to simplify
5( 3𝑡 − 4) + 6( 4 − 5𝑡)
Answer: -15t + 4
15t − 20 + 24 − 30𝑡

4. Factorize 𝒙𝟐 + 9𝑥 + 20
Answer: (x + 5) ( x+4 )
5. Expand (𝑥 − 3)
𝟐
Answer: 𝑥 𝟐
− 6𝑥 + 9

L
E
S
S
O
N
20
MATHEMATICS 8
Problems with
Polynomials

The lesson is about the manipulations of
polynomials to solve problems. Polynomials
are often called the "language" of
mathematics and algebra. They are used in
nearly every type of mathematics to show
numbers and expressions as a result of
different mathematical operations. The
manipulation of polynomials allows us to
simplify mathematical expressions to make
them more useable to solve problems.
Lesson 12

Scrambled Letters
Direction:
Arrange the jumbled
letters to form a
correct term based on
the given clue.

[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
CELLRANGE]
LRANGE]
ANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
RANGE]
LLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE] [CELLRANGE]

14
R F
M O
An expression is in
simplest form when it
cannot be simplified
SIMPLEST FORM
Scrambled Letters
Key word/
term
L I S S
E
M P
T

1
I O N E
E
S S
Numbers, symbols
and operation
grouped together.
EXPRESSION
Scrambled Letters
Key word/
term
X
R
P

18
N T R E
E
R E
To show or stand
in a place.
REPRESENT
Scrambled Letters
Key word/
term
S
P

20
M T I E
E
R E
The total length of a
boundary or the distance
around the outside of a
shape.
PERIMETER
Scrambled Letters
Key word/
term
R
P

22
R A
A E
The space enclosed
by the boundary of
a plane figure.
AREA
Scrambled Letters
Key word/
term

Component 4A
Annie is going to buy a
television set. She is unsure as to
what size she should buy. She
uses a formula to determine the
correct size to suit her wall. The
length of the TV is 10𝑥 + 2 units
and a width of 6𝑥 + 5 units.

Component 4A - Questions
Q1. Write an expression for the area
of the TV in simplest form.
Q2. Write an expression to represent
the perimeter of the TV in its
simplest form.
Q3. If 𝑥 = 10𝑐, what is the area of
the Tv in sq.cm?
Q4. If 𝑥 = 10𝑐, what is the perimeter
of the Tv in cm?

Component 4A -Questions
Q1. Write an expression for the area
of the TV in simplest form.
Q2. Write an expression to represent
the perimeter of the TV in its
simplest form.
Q3. If 𝑥 = 10𝑐, what is the area of
the Tv in sq.cm?
Q4. If 𝑥 = 10𝑐, what is the perimeter
of the Tv in cm?

Component 4A – Question 1
Write an expression for the area of
the TV in simplest form.
Answer: 60 𝒙𝟐
+ 62𝑥 + 10
FOIL Method = (10𝑥 + 2) (6𝑥 + 5 )
=60 𝒙𝟐
+ 50𝑥+12x + 10
Area = L x W

Write an expression to represent the
perimeter of the TV in its simplest form.
Answer: 32𝑥 + 14
Perimeter = 2L + 2W
Perimeter
= 2 (10𝑥 + 2) + 2 (6𝑥 + 5 )
= 20x + 4 + 12x +10

If 𝑥 = 10cm, what is the area of the Tv in
sq.cm?
Answer: 6630 sq.cm
Perimeter
= 60 𝒙𝟐
+ 62𝑥 + 10
= 60 (𝟏𝟎)𝟐
+ 62(10) + 10
=6000 + 620 +10

If 𝑥 = 10cm, what is the perimeter of
the Tv in cm?
Answer: 334 cm
Perimeter = 32𝑥 + 14
= 32 (10) + 14
= 320 + 14

Component 4C
Annie decided the TV was too big for her
wall. She determined to let x=5cm.

Component 4C – Question 1
Calculate the area of the TV set
when x=5cm
Answer:𝑎rea =1820 sq. cm
The area of the TV Set
60 𝒙𝟐 + 62𝑥 + 10
Substitute 5 for x to the area given
above

Calculate the perimeter of the TV
set when x=5cm
The Perimeter of the TV Set
is 32𝑥 + 14
Substitute 5 for x to the Perimeter
of the rectangle given.
Answer: Perimeter = 174 𝑐m

What do you notice about the area
and perimeter of this TV as
compared to the TV where
x=10
The area is less than half the area
of the first Tv but the perimeter
is half the perimeter of the first
TV.

 What were the key mathematical concepts
addressed in this lesson?
 Your level of understanding of the material
in this lesson is high, moderate, or low?
 Has the lesson helped you to gain further
insight into aspects of the material covered?
 Describe any issue to your progress and
achievement in relation to the topic area?
 What would best assist your progress and
achievement in this topic area?

NATIONAL LEARNING CAMP GRADE 8 MATH-LESSON 20.pptx

NATIONAL LEARNING CAMP GRADE 8 MATH-LESSON 20.pptx

More Related Content

What's hot

Similar to NATIONAL LEARNING CAMP GRADE 8 MATH-LESSON 20.pptx

More from JenilynEspejo1

Recently uploaded

NATIONAL LEARNING CAMP GRADE 8 MATH-LESSON 20.pptx