This document contains a lesson plan for teaching factoring non-perfect trinomials in Math 8. The lesson plan outlines intended learning outcomes, learning content including subject matter and reference materials, learning experiences through various activities, an evaluation, and assignment. Students will learn to define trinomials, factor non-perfect square trinomials, and apply factoring trinomials to geometric figures through guided practice with algebra tiles and examples.

1. Republic of the Philippines
Department of Education
Region VII Central Visayas
Division of Cebu City
Quiot National High School
Bogo, Quiot, Cebu City
A Semi-Detailed Lesson Plan
In Math 8
___________________
Date of Teaching
____________________
Time of Teaching
Quiot National High School- Afternoon Session
Venue of Teaching
Prepared by:
LORIE JANE L. LETADA
Teacher 1
Observed by:
ELEANOR D. GALLARDO
ASSISTANT PRINCIPAL

2. I. Intended Learning Outcomes
Through varied learning activities, the grade 8 students with at least80 % ofaccuracy shall able to:
1. Define trinomials
2. Find the factor ofnon-perfectsquare trinomial
3. Apply factoring trinomials in geometric figure
II. Learning Content
A. Subject Matter
Factoring Non-Perfect Trinomial
B. Skill Focus
 factoring numerical expressions easily
 finding the products ofthe terms
C. Reference
Diaz, Z., Mojica M. (2013) . Next Century Mathematics 8; Quezon City ; Phoenix
Publishing House , Inc; Mathematics 8 Learner’s Module K-12; DepEd K-12
Modified Curriculum Guide and Teacher’s Guide for Mathematics 8
http://www.themathpage.com/Alg/difference-two-squares.htm
D. Materials
Learners’ Module; Google Classroom; powerpointpresentation; google forms
III. Learning Experiences
A. Activity
Description: You will arrange the tiles according to the instructions given to
form a polygon and find its dimensions afterwards.
Directions:
a. 1 big square tile, 5 rectangular tiles, and 6 small square tiles
b. 1 big square tile, 6 rectangular tiles, and 8 small square tiles
c. 2 big square tiles, 7 rectangular tiles, and 5 small square tiles
d. 3 big square tiles, 7 rectangular tiles, and 4 small square tiles
e. 4 big square tiles, 7 rectangular tiles, and 3 small square tiles
Form rectangles using the algebra tiles that you prepared. Use only
tiles that are required in each item below.
1. Cut out 4 pieces of 3 in by 3 in card board and label each as x2
representing its area.
2. Cut out 8 pieces of rectangular cardboard with dimensions of 3 in by 1
in and label each as x representing its area.
3. Cut out another square measuring 1 in by 1 in and label each as 1 to
represent its area.

3. B. Analysis
1. What is the total area of each figure?
2. Using the sides ofthe tiles, write all the dimensions ofthe rectangles.
3. How did you getthe dimensions ofthe rectangles?
4. Did you find difficulty in getting the dimensions?
C. Abstraction
In factoring Non-Perfect Square Trinomial, consider to determine the factors of the
leading (square) term; the factors of the last (constant) term may be combined to find the coefficientof
the middle term.
Trinomials of the form 𝑥2 + bx + c are the products of two binomials. Observe how the last
term and the middle term of the resulting trinomial are generated.
To factor trinomial, reverse the FOIL process.
1. 𝒙 𝟐
+ 5x + 6 = (x + ___) (x + ___)
2. 𝒂 𝟐
+ 10a + 25 = (a + ___) (a + ___)
(x + 2) (x + 3) = 𝒙 𝟐
+ 3x + 2x + 6
= 𝒙 𝟐
+ 5x + 6
F O I L
Sum of 2 & 3 Product of2 & 3
Product of 2 & 3
(x + 4) (x + 5) = ___+___+ ___+__
= ___+___+___
F O I L
Sum of2 & 3
Product of2 & 3
Product of 2 & 3
Find two numbers that
when you multiply the
result is 6 and when you
add, the result is 5.
Find two numbers that
when you multiply the
result is 25 and when
you add, the result is
10.
The correct pair is 2 and3 .
Therefore, the factor of 𝑥2
+
2𝑥 + 6 is (x + 2 )(x + 3 ).
The correct pair is 5 and5 .
Therefore, the factor of 𝑎2
+
10𝑎 + 25is ( x + 5 ) (x + 5 ).
* When you multiply two
negative numbers, the
result is positive.
Example: (-3 )(-6)= 18
*When you add two
negative numbers,the
result is negative.
Example: -3 +-6 =-9
* When you multiply
positive & negative
numbers, the result is
negative.
Example: (5 )(-3)=-15
*When you add positive
& negative numbers,the
sign used in the result
will be based which
absolute num. is greater.
Examples: 5 +-3 =2
We use positive 2 since
the sign ofthe greater
value is positive.

4. . 𝟑. 𝒎 𝟐
– 9m + 18 = (m - ___) (m - ___)
The correct pair is -3 and -6 .
Therefore, the factor of
𝒎 𝟐
– 9m + 18 is (m – 3 ) ( m – 6 ).
𝟒. 𝒔 𝟐
+ 2s - 15 = ( _________ ) ( _________ )
The correct pair is 5 and -3.
Therefore, the factor of
𝟓. 𝒏 𝟐
- 6n - 16 = ( _________ ) ( _________ )
D. Application
1. 𝒎 𝟐
+ 10m + 21 = (m + ___) (m + ___)
𝟐. 𝒃 𝟐
+ 14b + 45 = (b + ___) (b + ___)
𝟑. 𝒘 𝟐
+ 14w+ 48 = ( w + ___ ) (w + ___)
𝟒. 𝒒 𝟐
– 6q + 8 = (q - ___) (q - ___ )
𝟓. 𝒛 𝟐
+ 5z – 24 = ( _________ ) ( _________ )
Find two numbers that when
you multiply the result is -15
and when you add, the result is
positive 2.
Find two numbers
that when you
multiply the result is
-6 and when you
add, the result is -16.
The correct pair is 2 and-8 .
Therefore, the factor of 𝑛2
−
6𝑛 − 16 is ( n+ 2 ) (n - 8 ).
Find two numbers that
when you multiply the
result is 21 and when
you add, the result is
10.
The correct pair is….
Show your completeanswerhere…

5. IV. Evaluation
Factor each expression completely.
1. 𝒏 𝟐
+ 3n + 2 𝟒. 𝒈 𝟐
+ g - 12
2. 𝒕 𝟐
– 5t + 6 𝟓. 𝒘 𝟐
– 11w + 10
3. 𝒅 𝟐
- d - 6 6. 𝒆 𝟐
– 7e + 10
V. Assignment
Skill Booster!