Subject Mathematics

Grade 2nd

Students` Learning Outcomes

  • Verify commutative property with respect to Addition (sum should not exceed 100)

Information for Teachers

  • The word “commutative” comes from “commute” or “move around”, so the Commutative Property is the one that refers to moving numbers or variable around.


  • It states that changing the order of addends does`t change the sum, as such; in case of addition, the rule is “a + b=b + a”; in numbers, this means 2 + 3 = 3 + 2.
  • While teaching the lesson, the teacher should also consult with textbook at all steps where and when applicable.

Material / Resources

Writing board, chalk / marker, duster, number flashcards (1 digit), fake coins of Rs. 2 and Rs. 5(teacher can make them with any hard paper)


  • Divide students in groups of 4 or 5.
  • Distribute a handful of mixed coins to each group.
  • Ask them to separate the coins.
  • Now add the amounts and tell, how much total money they have?
  • Call one student from each group and ask them, did they added, Rs. 2 coins to Rs. 5 or vice versa?
  • Are the answers same in both cases?
  • Let them explore that change of the order of number, does n`t change the sum of numbers.


Activity 1

  • Give 2 flash cards of 1-digit numbers to each student.
  • Ask them to find their sum.
  • Ask them to interchange the position of both addends and find the sum again.
  • Discuss the answers.
  • Motivate them to describe this phenomenon nd help them to verbalize the concept of the commutative property.
  • Verify derived definition by solving a few more questions.

Activity 2

  • Give 1-digit number flashcards to two students and make them stand facing the class.
  • Ask students to add both numbers like;
                •  3 + 1 = 4.
                • 1 + 3 = 4
  • Interchange the position of both students.
  • Now ask students to find the sum again as such;
                • 5 + 1 = 6
                • 1 + 5 = 6
  • Discuss the answers in both cases.
  • Give them a few more pairs of 1-digit number and repeat the activity.  
  • After solving few equations, deduce with them that if we change the position of the number, the sum remains the same. This property is called commutative property with respect to addition.

Sum up / Conclusion

  • The commutative property of addition tells us that the order in which 2 numbers are added does n`t change the sum of those 2 numbers.



Write few incomplete addition equations reflecting commutative property w.r.t. addition to complete as such; 


  • (These four variations should be included).

Follow up

  • Ask students to write 5 equations reflecting commutative property with respect to addition as home work as such; 2 + 3 = 3 + 2, 3 + 4 = 4 + 3 etc.


  • Ask the students to solve the questions given in their textbook.







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