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Republic of the Philippines 
CEBU TECHNOLOGICAL UNIVERSITY 
Main Campus 
Corner M.J. Cuenco Avenue and R. Palma Street, Cebu City 
hhtp://www.cscst.ph e-mail: information@csct.ph 
Tel. No. 416-6585, Telefax No. 256-3608 
_____________________________________________________________________ 
Name: Lorie Jane L. Letada Instructor: Dr. Elena Cecilia P. Delos Reyes, Ed. D 
Methodology: Deductive Date: October 13, 2014 
Product Rule for Exponent-Like Terms with Exponent 
Subject Matter 
I. Objectives 
At the end of the lesson, the students can: 
1. Identify the product rule of exponent in like terms. 
2. Simplify carefully the exponents of same bases of like terms. 
3. Apply the law of exponent for integer exponents. 
II. Subject Content 
Topic: Product Rule for Exponent-Like Terms with Exponent 
Reference: e-math Intermediate Algebra; Manilyn O. Mendoza; pp 76-83; Algebra 1- 
An Incremental Development Second Edition; Saxon; pp. 88-91 
http://education-portal.com/academy/lesson/product-of-powers-definition-rule- 
property.html#lesson 
Materials: Chalk board/ whiteboard, chalk/marker, visual aid and algebra tiles 
III. Procedures 
A. Preparation 
Teacher’s Activity Student’s Activity 
-Good morning Class! 
-Kindly pick up pieces of paper under 
your chair and arrange it properly. 
-Now who is his return to lead the prayer? 
-Okay, please come in front. 
-Good morning again class! 
-How are you today? 
-Anyway, who are absent today? 
-Good morning Ma’am! 
- (Pick the trashes and arrange their 
chair.) 
-I am, Ma’am! 
- (Student 1 leads the prayer.) 
-Good morning, Ms. Letada! 
-I’m okay! 
-I’m fine! 
-Sleepy! 
-Tired! 
-No one!
-Wow! Very good! Give yourself a round of 
applause for a perfect attendance. 
-So now class, I want you to group 
yourself into five. So start counting here. 
-So I want you to come in your group and 
form a circle. So for group here near the 
door, For group 2 there and so on and so 
for. 
-Now, class I have chips here. So first get 
your chips. For group 1 here. For group 2 
and so on and so forth. 
- So now class, the mechanics of our 
game will be like this. I will say two 
numbers for example number 4 and 5. 
Then the thing you’ll going to do is to 
arrange the chips into four row and five 
groups. So meaning to say, the first 
number that I said will be number of row 
and the second one will be number of 
group. But class there’s a thrill in our 
game; you notice that there have two 
different colors in the chips, the yellow and 
green. The yellow represents the even 
number and the green one represents the 
odd number. If the sum of the two 
numbers I said is an even number, so the 
color of the chips you choose will be 
yellow, but if it is an odd, the entire one 
will be green. So in our example, 4 and 5, 
the sum of them is 9 therefore, the green 
one will be the one you choose since it is 
an odd number. 
-Is it clear? 
-Of course and I will put this in your 
participation! I will give you ten seconds to 
perform the task and the first group that 
will get the correct answer will be the 
winner. So in other word, the group that 
will get the highest point will earn 20 
points. The second one will earn 18 
points. The third will earn 16 , the fourth 
(Clapping their hands) 
(counting from 1-5) 
(Move and find their group) 
(A representative of each group gets 
the chips.) 
- (listen attentively to the mechanics 
of the game.) 
-Ma’am, is it graded?
will earn 14 and the last one will earn 12 
points. 
-Is it clear? 
-Good! Now Let’s start the 
Game! 
(The allotted time for this activity will be 
ten minutes.) 
-Okay, thank you to your participation and 
you may now take your seat. 
-By the way, do not forget to give me the 
list of your names for recording your 
score. 
-Yes, Ma’am! 
(enjoying and participating the game) 
B. Presentations 
-So now class, who can recall our lesson 
yesterday? 
-Yes, Mister. 
-Now who can give me the answer of 32. 
-Yes Miss! 
-How about 25? Yes mister. 
-Very good! How about 53? 
-I asked you about that because our 
lesson for today is about the product rule 
for exponents in like terms. 
-So class, kindly read this all together. 
The product of powers rule states that 
when multiplying two powers with the 
same base, just add the exponents. 
-So class, do you understand in what you 
have read? 
-Okay, it is said when we will going to 
multiply the same bases, just add their 
exponent. 
-For example: 32 x 33 = 35 
-Since they are the same bases which is 
three, in order to multiply them we only 
-Ma’am! (Student 1 raising his hand.) 
-Our lesson yesterday was about 
bases and exponents. 
(Students raising their hand.) 
-Nine! 
-Thirty-two. 
-One hundred twenty-five. 
(The students read all together.) 
-No!
add their exponents. 
-Did you get it? 
-Okay, another example. 
54 x 55 is equal to? What do you think will 
be the answer? 
-Very good! 
-How about 푚푛 x 푚푝? What do you think 
will be the answer? 
-Very good, but how did you get it? 
-That’s right! 
-How about this one class, (푝12)(푥 2). 
-who can come in front and answer this? 
-Yes, Miss! 
-Is it right, Class? 
-Okay, who can explain me why? 
-Yes, mister! 
-Very good and also clap your hands to 
miss student 1 for the very good answer! 
- So class, here is another example. 
(푥 2)(푦4)(푥 4) = 푥 6푦4 
-Since 푥 2 and 푥 4 have the same bases, 
therefore we can add their exponent , but 
we cannot add the 푥 6 to 푦4 since their 
bases are not the same. 
-Did you get it? 
-Okay very good! 
-Another example, Ma’am. 
59 , Ma’am! 
푚푛+푝 , Ma’am! 
-Since both bases are the same, 
that’s why I only add their exponent 
in order to get the product of them. 
(푝12)(푥 2) = (푝12)(푥 2) 
-Yes, ma’am! 
-Since their bases are not the same, 
that’s why we cannot add their 
exponent so the answer is the same 
to its original given. 
-Yes, Ma’am! 
C. Application: 
-Now who want to answer the equation on 
the board? 
(The teacher calls the name of the 
students randomly.) 
3 
• y 
1. y 
4 
2 
y 
2. x 
2 
(x 
2 
) 
2 
) 
3. 18xy(2x 
4. –5a 
3 
b(–6a 
2 
b 
4 
) 
2 
(6y 
5. 2y 
3 
z) 
6. –12a 
3 
b 
2 
(–3a 
2 
b) 
2 
n(–3mn) 
7. 8m 
(Students are raising their hands.) 
(Students are actively answering the 
equation on the board and then, 
explaining it afterwards.)
8. 3ab2ab4 
2 
9. (–1.2r 
s 
3 
)(0.4rs) 
2 
) 
10. (3m 
4 
-So class, do you have any question? 
-Okay good! Kindly get your activity 
notebook and answer the following 
equation. To those I will catch cheating 
with his seatmates will get minus five. Is it 
clear? 
-None so far! 
-Yes, Ma’am! 
IV. Testing/Evaluation 
Simplify the following expression using the 
product rule of exponent. 
2 
) 
1. (3y 
3 
2. (5s 
4 
t 
5 
) 
3 
3 
) 
3. (8y 
2 
2 
y 
4. (–7x 
3 
)(–4xy 
4 
) 
2 
)(y 
5. (3y 
3 
) 
6. 8 f 6g7 f 2g5h  
7.  8 
4 6 yd  
8.  2 
5 8c  
9.    2 3 2 2x 4x y  
10.    2 4 3a b 6ab c  
11.    10 2 5 3 9x z x y  
12.    5 3 5 7q 12q r  
13.    8 4 11c 10c d  
14.  3 
9 7 15h k  
15.  4 
13 y  
V. Assignment 
In ½ sheet of paper, simplify each 
expression. 
3 
1)  3h 
9 2)  8 
4 6 y d  
3)  3 
9 7 15h k  
4)     2 3 
3 3 4h 2g h  
5 2 
5)  k 9   k 3   
6)     2 
6 5 2 3y x y z  
7)  4 
5 6 c h  
 2 7 
8) 14a 4 b 6   a 6 c 3   
9)  8 
7 23  
10)  8 
4 6 y d 

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Detailed Lesson plan of Product Rule for Exponent Using the Deductive Method

  • 1. Republic of the Philippines CEBU TECHNOLOGICAL UNIVERSITY Main Campus Corner M.J. Cuenco Avenue and R. Palma Street, Cebu City hhtp://www.cscst.ph e-mail: information@csct.ph Tel. No. 416-6585, Telefax No. 256-3608 _____________________________________________________________________ Name: Lorie Jane L. Letada Instructor: Dr. Elena Cecilia P. Delos Reyes, Ed. D Methodology: Deductive Date: October 13, 2014 Product Rule for Exponent-Like Terms with Exponent Subject Matter I. Objectives At the end of the lesson, the students can: 1. Identify the product rule of exponent in like terms. 2. Simplify carefully the exponents of same bases of like terms. 3. Apply the law of exponent for integer exponents. II. Subject Content Topic: Product Rule for Exponent-Like Terms with Exponent Reference: e-math Intermediate Algebra; Manilyn O. Mendoza; pp 76-83; Algebra 1- An Incremental Development Second Edition; Saxon; pp. 88-91 http://education-portal.com/academy/lesson/product-of-powers-definition-rule- property.html#lesson Materials: Chalk board/ whiteboard, chalk/marker, visual aid and algebra tiles III. Procedures A. Preparation Teacher’s Activity Student’s Activity -Good morning Class! -Kindly pick up pieces of paper under your chair and arrange it properly. -Now who is his return to lead the prayer? -Okay, please come in front. -Good morning again class! -How are you today? -Anyway, who are absent today? -Good morning Ma’am! - (Pick the trashes and arrange their chair.) -I am, Ma’am! - (Student 1 leads the prayer.) -Good morning, Ms. Letada! -I’m okay! -I’m fine! -Sleepy! -Tired! -No one!
  • 2. -Wow! Very good! Give yourself a round of applause for a perfect attendance. -So now class, I want you to group yourself into five. So start counting here. -So I want you to come in your group and form a circle. So for group here near the door, For group 2 there and so on and so for. -Now, class I have chips here. So first get your chips. For group 1 here. For group 2 and so on and so forth. - So now class, the mechanics of our game will be like this. I will say two numbers for example number 4 and 5. Then the thing you’ll going to do is to arrange the chips into four row and five groups. So meaning to say, the first number that I said will be number of row and the second one will be number of group. But class there’s a thrill in our game; you notice that there have two different colors in the chips, the yellow and green. The yellow represents the even number and the green one represents the odd number. If the sum of the two numbers I said is an even number, so the color of the chips you choose will be yellow, but if it is an odd, the entire one will be green. So in our example, 4 and 5, the sum of them is 9 therefore, the green one will be the one you choose since it is an odd number. -Is it clear? -Of course and I will put this in your participation! I will give you ten seconds to perform the task and the first group that will get the correct answer will be the winner. So in other word, the group that will get the highest point will earn 20 points. The second one will earn 18 points. The third will earn 16 , the fourth (Clapping their hands) (counting from 1-5) (Move and find their group) (A representative of each group gets the chips.) - (listen attentively to the mechanics of the game.) -Ma’am, is it graded?
  • 3. will earn 14 and the last one will earn 12 points. -Is it clear? -Good! Now Let’s start the Game! (The allotted time for this activity will be ten minutes.) -Okay, thank you to your participation and you may now take your seat. -By the way, do not forget to give me the list of your names for recording your score. -Yes, Ma’am! (enjoying and participating the game) B. Presentations -So now class, who can recall our lesson yesterday? -Yes, Mister. -Now who can give me the answer of 32. -Yes Miss! -How about 25? Yes mister. -Very good! How about 53? -I asked you about that because our lesson for today is about the product rule for exponents in like terms. -So class, kindly read this all together. The product of powers rule states that when multiplying two powers with the same base, just add the exponents. -So class, do you understand in what you have read? -Okay, it is said when we will going to multiply the same bases, just add their exponent. -For example: 32 x 33 = 35 -Since they are the same bases which is three, in order to multiply them we only -Ma’am! (Student 1 raising his hand.) -Our lesson yesterday was about bases and exponents. (Students raising their hand.) -Nine! -Thirty-two. -One hundred twenty-five. (The students read all together.) -No!
  • 4. add their exponents. -Did you get it? -Okay, another example. 54 x 55 is equal to? What do you think will be the answer? -Very good! -How about 푚푛 x 푚푝? What do you think will be the answer? -Very good, but how did you get it? -That’s right! -How about this one class, (푝12)(푥 2). -who can come in front and answer this? -Yes, Miss! -Is it right, Class? -Okay, who can explain me why? -Yes, mister! -Very good and also clap your hands to miss student 1 for the very good answer! - So class, here is another example. (푥 2)(푦4)(푥 4) = 푥 6푦4 -Since 푥 2 and 푥 4 have the same bases, therefore we can add their exponent , but we cannot add the 푥 6 to 푦4 since their bases are not the same. -Did you get it? -Okay very good! -Another example, Ma’am. 59 , Ma’am! 푚푛+푝 , Ma’am! -Since both bases are the same, that’s why I only add their exponent in order to get the product of them. (푝12)(푥 2) = (푝12)(푥 2) -Yes, ma’am! -Since their bases are not the same, that’s why we cannot add their exponent so the answer is the same to its original given. -Yes, Ma’am! C. Application: -Now who want to answer the equation on the board? (The teacher calls the name of the students randomly.) 3 • y 1. y 4 2 y 2. x 2 (x 2 ) 2 ) 3. 18xy(2x 4. –5a 3 b(–6a 2 b 4 ) 2 (6y 5. 2y 3 z) 6. –12a 3 b 2 (–3a 2 b) 2 n(–3mn) 7. 8m (Students are raising their hands.) (Students are actively answering the equation on the board and then, explaining it afterwards.)
  • 5. 8. 3ab2ab4 2 9. (–1.2r s 3 )(0.4rs) 2 ) 10. (3m 4 -So class, do you have any question? -Okay good! Kindly get your activity notebook and answer the following equation. To those I will catch cheating with his seatmates will get minus five. Is it clear? -None so far! -Yes, Ma’am! IV. Testing/Evaluation Simplify the following expression using the product rule of exponent. 2 ) 1. (3y 3 2. (5s 4 t 5 ) 3 3 ) 3. (8y 2 2 y 4. (–7x 3 )(–4xy 4 ) 2 )(y 5. (3y 3 ) 6. 8 f 6g7 f 2g5h  7.  8 4 6 yd  8.  2 5 8c  9.    2 3 2 2x 4x y  10.    2 4 3a b 6ab c  11.    10 2 5 3 9x z x y  12.    5 3 5 7q 12q r  13.    8 4 11c 10c d  14.  3 9 7 15h k  15.  4 13 y  V. Assignment In ½ sheet of paper, simplify each expression. 3 1)  3h 9 2)  8 4 6 y d  3)  3 9 7 15h k  4)     2 3 3 3 4h 2g h  5 2 5)  k 9   k 3   6)     2 6 5 2 3y x y z  7)  4 5 6 c h   2 7 8) 14a 4 b 6   a 6 c 3   9)  8 7 23  10)  8 4 6 y d 