strategic intervention materials

1. In Mathematics VIII
Prepared by:
SHERYL B. DELA CRUZ
Teacher I

2. OBJECTIVE CARD
LeastMasteredSkill:
Sub tasks:
Determine whether the given algebraic expression is
perfect square trinomial or not.
Complete the terms of the expression in the product
of the given factor of perfect square trinomial..
Give the missing factor of the perfect square
trinomial.
Determine the Factor of perfect square trinomial.

3. Try this ! (a + b)2 or (a + b) (a + b)= _______________________

4. What is
Perfect Square
Trinomial?
A PERFECT SQUARE
TRINOMIAL is the result
of squaring a binomial.
Example:
(x + y)2 or (x + y) (x + y) = x2 + 2xy + y2
Therefore,
x2 + 2xy + y2 is
a PERFECT SQUARE
TRINOMIAL!Correct!
GUIDE CARD

6. Activity Card 1
Direction : Complete the terms. Write your answer in the space provided.
1. (x-y)(x-y) = x2 – 2xy + _______ 2. (2m+5)(2m+5) = _____ +20m + _____
3. (x+6)2 = x2 + _____ + _______ 4. (3a - 2)2 = _____ - 12a + ______

7. A PERFECT SQUARE TRINOMIAL has FIRST and LAST terms which are PERFECT
SQUARE, and a MIDDLE term is twice the product of the square root of the FIRST and LAST
terms.
Example : x2 + 6x + 9 is Perfect Square Trinomial, because
X2 and 9 are Perfect Square
𝑥2 = X 6x is 2 ( X )( 3 )
9 = 3
How do we easily identify if the given trinomial is a Perfect Square? Or not?
First Term Last Term
MiddleTerm
First Term
Last Term
MiddleTerm

8. Activity Card # 2
Am I PerfectSquare
Trinomialor not?
Direction: Write PST if the given expression is Perfect Square Trinomial and
NOT PST if the given expression is not Perfect Square Trinomial.
x2 + 4x + 41.
4x2 + 5x + 1
x2 – 12x + 36
6x2 – 9x + 84
81x2 - 126x + 49
9x2 + 24x + 16
2.
3.
4.
5.
6.

10. To factor Perfect Square Trinomial:
Example: x2 + 18x + 81
1. Get the square root of the first term and the last term.
𝑥2 = x
81 = 9
2. List down the square root as sum or difference of two
terms as the case may be.
(x+ 9)2 or (x+9) (x+9)
Is there any
pattern in
factoring Perfect
Square
Trinomial?
YES! You may use the following relationship to factor:
(1st term)2 + 2(1st term)(last term) + (last term)2 = (1st + last)2
(1st term)2 - 2(1st term)(last term) + (last term)2 = (1st - last)2
X2 – 14x + 49 = (x – 7)2 or (x-7)(x-7)
X2 72
2 (x) (7) = 14x
First Term 2nd Term
Last/3rdT
erm

11. Activity Card # 3
Direction: Give the missing factor of Perfect Square Trinomial.
1. x2 + 2x + 1 = (_____) (x + 1) 3. 9x4 - 24x + 16y2 = (3x2 – 4y) (____)
4. 16x2 + 24x + 9 = (____) (____)2. 4x2 - 12x + 9 = (2x - 3) (____)

12. ACTIVITY CARD # 4
True
or
False
1. 9x2 + 4x + 1 = (3x+1)2
2. 4x2 - 16x + 16 = (2x-4)2
3. x2 + 14x + 49 = (x+7)2
4. 16x2 - 24xy + 9y2 = (4x-3y)2
Direction: Write TRUE if the corresponding factor is correct and FALSE if it is not.

13. 1. 4x2 – 16x + 16 =
________________
2. x2 + 12x + 36 =
________________
3. x2 – 14x + 49 =
________________
4. 9x2 + 6xy + y2 =
________________
5. x2 – 10x + 25 =
________________
ACTIVITY CARD # 5
Direction : Give the factor of the following Perfect Square Trinomial.

14. Enrichment Card

15. Direction : Encircle the letter of the correct answer.
1. Which of the
following
factors give a
product of
x2 +6x+9?
a. (x+3)(x-3)
b. (x+3)(x+3)
c. (x+3)(x+2)
d. (x+6)(x+3)
2. Which of the
following is perfect
square trinomial?
a. x2 + 3x + 16
b. x2 -18x + 9
c. x2 + 2x +1
d. 25 x2 + 25x +4
3. Which of the
following values of
k will make
x2 +8x + k perfect
square trinomial?
a. -16
b. 16
c. 64
d. -64
4. Which of the following
is Correct?
a. x2 +4x+4 = (x+4)2
b. X2 -12x +36 =(x+2)(x-6)
c. X2 +7x + 49 = (X+ 7)(x-7)
d. X2 -10x+25 =(x-5)2
5. What is the
factor of
64x2 +16x +1?
a. (8x+1)2
b. (8x -1)(8x+1)
c. (8x -1)2
d. (8x-2) (8x+2)
Assessment Card

16. Answer Card
Activity Card
1
1. Y2
2. 4m2 and 25
3. 12x and 36
4. 9a2 and 4
Activity Card
2
1. PST
2. NOT PST
3. PST
4. NOT PST
5. PST
6. PST
Activity Card 3
1. X + 1
2. 2x - 3
3. 3x2 – 4y
4. (4x + 3)(4x + 3)
Activity Card 4
1. FALSE
2. TRUE
3. TRUE
4. TRUE
Activity Card 5
1. (2x – 4)2
2. (x + 6)2
3. (x– 7)2
4. (3x + y)2
5. (x - 5)2
Enrichment
Card
Yes!
The measure of
each sides is
(2x -3)2.
Assessment
Card
1. b
2. c
3. b
4. d
5. a
Lesson
LearnedI learned _________
_________________
_________________
_________________
_________________
_________________
_________________

17. Emmanuel P. Abuzo, Mathematics Learner’ Module. Book Media Press, Inc.
21-E,Boni Serrano Ave., Q.C. First Edition, 2013.
Soledad Jose – Dilao, Ed. D, Intermediate Algebra II. SD Publications, Inc. G.
Araneta Ave.cor. Ma. Clara St. 1107 Q.C. Philippines. Copy right 2009
http://www.basic-mathematics.com/factoring-perfect-square-trinomials.html.