MATH GRADE 2: Commutative Property of Addition

Subject: Mathematics
  |  Educational level: Grade 2

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Commutative Property of Addition

I. Learning Objectives

Cognitive: Show the commutative property of addition in adding numbers

Psychomotor: Shows that changing the order of the addends does not affect the sum

Affective: Practice helping at home

II. Learning Content

Skill: Showing the commutative property of addition in adding numbers

Reference: BEC PELC I.B.4.1

Materials: cutouts of a big tree with cutouts of fruits, picture cards, Show-Me-Boards

Value: Helpfulness

 

III. Learning Experiences

A. Preparatory Activities

1. Drill

Guessing Game

a. Think of two numbers in which the sum is 12.

b. Think of 2 addends in which the sum is 16.

c. What is the sum of 7 and 8?

d. What number is 3 more than 9?

e. Combine 8 and 9.

2. Review

Pair-Shared Activity

Directions:

a. Look at the cutouts of fruits in the big tree posted on the board.

b. Listen to the teacher's directions as stated below:

  1. Find the sum of the numbers that have 3 ones.

  2. Find the sum of the numbers that have 3 hundreds.

  3. Find the sum of the numbers that have 4 tens.

  4. Find the sum of the numbers that have 4 hundreds.

  5. Find the sum of the numbers that have 2 tens.

 

 

3. Motivation

Game: "Let's Change Places" (5 pairs only)

a. Pupils get a partner.

b. Each pair stands on tip toe on a rectangle, the size of a yellow pad.

c. Partners change position when they hear the teacher say: "Exchange places."

d. Pairs of partners who step out of the rectangle are out of the game.

e. The pair who survives wins.

f. Now we are going to do a lot of exchanging places in our game and with the addends of the addition sentence like the illustration shown on the board.

 

 

B. Developmental Activities

1. Presentation

Look at the picture of balloons.

 

a. What addition sentence can you give for the first picture? second picture?

b. What are the addends?

c. What do you notice about the position of the addends? Did the addends change?

d. What is the sum of 3 and 2? What is the sum of 2 and 3?

e. What can you say about the sum? Are they equal? Why?

* Tell the pupils that this illustrates the order property of addition which is called commutative property.

2. Group Activities

Activity 1

Pair-Shared Activity

a. Distribute picture cards as shown below (at least 5 pictures cards.)

b. Write an addition sentence. Then change the order of the addends.

c. Write the answer on your "Show-Me-Board."

 

 

 

Activity 2

Using "Show-Me-Board."

a. Flash cards with addition sentences.

 Example:             8 + 6 = __ + 8

b. Give the missing number and find the sum.

Activity 3

Change the order of the addends. Then find the sum.

a. 502 + 30

b. 425 + 48

c. 310 + 156

d. 693 + 102

e. 236 + 234

3. Generalization

How do we show the commutative property of addition?

C. Application

Solve the following word problems.

Julio and June are good friends. One day they helped June's father gather mangoes and santol. Julio gathered 110 mangoes and 105 santol. June gathered 105 mangoes and 110 santol. Who gathered more mangoes and santol?

Valuing:

How did Julio and June help June's father?

What trait did they show?

Do you also help your father and mother? How?

IV. Evaluation

1. Write the missing number to show the commutative property of addition.

a) 8 + 12 =  ___ + 8

b) 27 + ___  = 42 + 27

c) ___ + 85 =  ___ + 16

d) 312 + 526 =  ___ + ___

e) 600 +  ___ = 217 + ___

 

2. Change the order of addends. Then find the sum.

  1. 421 + 35 =

  2. 510 + 69 =

  3. 208+190 =

  4. 243 + 326 =

  5. 512 + 277 =

V. Assignment

Complete the number sentences by changing the order of the addends.

1) 17 + 4 = ___ + ___ = ___ 

2) 25 + 7 = ___ + ___ = ___

3) 461 + 26 = ___ + ___  = ___

4) 306 + 120 = ___ + ___  = ___

5) 540 + 109 = ___ + ___  = ___

 

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