Lesson Plan in Mathematics 7
Content Standard : demonstrates understanding of key concepts of sets and the real number system.
Performance Standard : is able to formulate challenging situations involving sets and real numbers and solve
these in a variety of strategies.
Learning Competency : illustrates the different properties of operations on the set of integers.
Code :
Prerequisite Concepts : Addition, Subtraction, Multiplication and Division of Integers.
I.OBJECTIVES
At the end of the lesson, the students must be able to:
1. State and illustrate the different properties on the operations on integers
a. closure
d. distributive
b. commutative
e. identity
c. associative
f. inverse
2. Rewrite given expressions according to the given property.
II.SUBJECT MATTER
Topic
Reference
Materials
Value Focus
:
:
:
:
Properties of the Operations on Integers
Mathematics - Grade 7 Learner’s Material (Quarter 1 and 2)
Brown Envelope, Pen-tel pen, cartolina, television, laptop.
Team Work, Cooperation, and Self-realization
III.Procedure
Teacher’s Activity
a. Awareness
Prayer
Greetings
Checking of attendance
1. Review
Who among you can still remember our lesson
yesterday?
What it is all about?
Students’ Activity
Some students raise their hands.
Answer may vary.
Very Good.
2. Motivation
I have here some jumbled letters and you are going to
guess what word it could be.
1. seritnge
answer : integers
2. ytitnedi
answer : identity
3. ationsoper
answer : operations
4. souclre
answer : closure
5. tivecommuta
answer : commutative
Answers may vary
3. Presentation
This afternoon we are going to discuss about the
Properties of the Operations on Integers.
Lesson Proper
b. Activity
Pictionary Game : Draw and Tell
5 Strips of cartolina with adhesive tape where each of
the following words will be written :
Answer may vary.
 Closure
 Commutative
 Associative
 Distributive
 Identity
 Inverse
Printed Description:
 Stays the same
 Swapping / Interchange
 Bracket Together / Group Together
 Share Out / Spread Out / Disseminate
Answer may vary.
 One and the Same / Alike
 Opposite / Contrary
Rules of the game:
The mission of each player holding a strip of cartolina is
to let the classmates guess the hidden word by drawing
symbols, figures or images on the board without any
word.
If the hidden property is discovered, a volunteer from
the class will give his/her own meaning of the identified
words. Then, from the printed descriptions, he/she can
choose the appropriate definition of the disclosed word
and verify if his/her initial description is correct.
The game ends when all the words are revealed.
c. Analysis
Base on the activity, we will learn how to state and
illustrate the different properties of the operations on
integers.
Let’s take a word from group 1
1. Closure Property
Two integers that are added and multiplied remain as
integers. The set of integers is closed under addition and
multiplication.
a, b ϵ /, then a + b ϵ /, a . b ϵ /
example
4+5=9
4 . 5 = 20
2. Commutative Property
Changing the order of two numbers that are either
being added or multiplied does not change the value.
Addition : a + b = b + a
Example
flour + water = water + flour
Multiplication : ab = b
Example
5(6) = 6(5)
Let’s take a word from group 2
3. Associative Property
Changing the grouping of numbers that are either being
added or multiplied does not change its value.
Addition : (a + b) + c = a + (b + c)
Example
(1+2)+3=1+(2+3)
Multiplication : (ab) c = a (bc)
Example
(2.5) 3 = 2 (5.3)
4. Distributive Property
When two numbers have been added / subtracted and
then multiplied by a factor, the result will be the same
when each number is multiplied by the factor and the
products are then added / subtracted.
a (b + c) = ab + ac
example
2 ( 3 + 4 ) = 2.3 + 2.4
Lastly, let’s take a word from group 3
5. Identity Property
Additive Identity
States that the sum of any number and 0 is the given
number. Zero, “0” is the additive identity.
a+0=a
example
4+0=4
Multiplicative Identity
State that the product of any number and 1 is the given
number, a.1=a. One, “1” is the multiplicative identity.
a.1=a
example
5.1=5
6. Inverse Property
In Addition
States that the sum of any number and its additive
inverse, is zero. The additive inverse of the number a is
–a.
a + (-a) = 0
example
2 + (-2) = 0
In Multiplication
States that the product of any number and its
multiplicative inverse or reciprocal, is 1. The
multiplicative inverse of the number a is 1/a.
1/a . a = 1
Example
2/7 . 7/2 = 1
d. Abstraction
What are the properties of integers?
Properties of Operation of Integers
Closure Property under addition
and multiplication
Commutative
property
of
addition
Commutative
property
of
multiplication
Associative Property of addition
Associative
Property
of
multiplication
Distributive Property
Additive Identity Property
Multiplicative Identity Property
Multiplicative inverse property
Additive inverse Property
a, b ϵ /,
then a + b ϵ /, a . b ϵ /
a+b=b+a
ab = ba
(a + b) + c = a + (b + c)
(ab) c = a (bc)
a (b + c) = ab + ac
a+0=a
a.1=a
1/a . a = 1
a + (-a) = 0
e. Application
Instruction.
I will group you into two and each group will be given
envelope and inside is the set of expressions. After that
each group will present their answer on the board. You will
be given 10 minutes to answer.
Rewrite the following expressions using the given property.
1. 12a – 5a
2. (7a)b
3. 8 + 5
4. -4(1)
5. 25 + (-25)
- Distributive Property
- Associative Property
- Commutative Property
- Identity Property
- Inverse Property
Answer may vary.
Answer may vary.
Answer may vary.
Answer may vary.
Answer may vary.
IV.EVALUATION
Direction: Fill in the blanks and determine what properties were used to solve the equations.
1. 5 x ( _______ + 2) = 0
2. -4 + 4 + ___
3. -6 + 0 = ___
4. (-14 + 14) + 7 = ____
5. 7 x ( ____ + 7) = 49
V.ASSIGNMENT
Have an advance study about Rational Numbers in the Number Line.
Demonstrator : MERCY ANN V. BARILLO