Properties of Whole Numbers

LC: Identify the different properties of whole numbers.

I. Learning Objectives: After the activity, pupils shall be able to:

EOC1 illustrate the different properties of whole numbers.

EOP2 identify the different properties of addition and multiplication

correctly.

EOA3 manifest confidence during group report.

II. Learning Content:

Topic: Properties of Whole Numbers

Concept: Properties of Addition and Multiplication are the following:

a. Commutative Property of Addition/Multiplication

b. Associative Property of Addition/Multiplication

c. Additive Identity

d. Multiplicative Identity

e. Multiplicative Property of Zero

f. Distributive Property of Multiplication Over Addition

g. Distributive Property of Multiplication Over Subtraction

Skill: Identifying the different properties of whole numbers, Illustrating the

different properties of whole numbers

Values: confidence

Material: ¼ sized illustration board, chalk

Resources: Apistar, E. (2005), Soaring 21st Century

Glencoe, Mathematics Applications and Connections

Riel, T. (2009) Number Smart

III. Learning Experience:

A. Introduction: Round Robin Reporting

Group 1: Commutative Property of Addition

13 + 5 = 5 + 13

Group 2: Commutative Property of Multiplication

3 x 4 = 4 x 3

Group 3: Associative Property of Addition

2 + 5 + 4 = 4 + 5 + 2

Group 4: Associative Property of Multiplication

2 x 3 x 4 = 4 x 3 x 2

Group 5: Additive Identity

O + 8 = 8

Group 6: Multiplicative Identity

18 x 1 = 18

Group 7: Multiplicative Property of Zero

9 x 0 = 0

Group 8: Distributive Property

4 x ( 8 + 5 ) = 4 x 8 + 4 x 5

B. Interaction:

1. What's the root word of commutative? What does commute mean?

2. Does the order of the addends or factors affect the sum or product?

3. What's the root word of associative? What is the other meaning of

associate?

4. Does the grouping of the addends or factors affect the sum or

product?

5. Have you tried looking on the clear water? What have you

seen? What do you mean by identity?

6. What should you add to any number so that the sum will be the

same number?

7. What is the product when you multiply any number by 0?

8. Compare the result when you multiply a number by the sum of two

addends and when you multiply the number by each of the addends.

C. Integration:

1. Generalization:

" What are the different properties of whole numbers?

2. Evaluation: Answer page 19 letter B.

Find the value of each number represented by a or b.

a. 27 + 89 = 89 + a

b. a + 365 = 365 + 214

3. Reflection:

" How do you feel when you report in front of your classmates?

IV. Assignment: ½

Paragraph-Writing

" Which property of operation you find difficult? Why?