Lesson Planning of Multiplication of Fraction

Students` Learning Outcomes

  • Verify the Commutative property of multiplication of fractions.
  • Verify the Associative property of multiplication of fractions.

Information for Teachers

  • There are properties involving multiplication that will help make problems easier to solve.
  • Commutative Property: Change the place in multiplication of two fraction does n`t change the product.
  • Associative Property: When three or more fractions are multiplied, the product is the same regardless of the grouping of the factors.
  • While teaching the lesson, the teacher should consult with textbook where and when it is required.

Material / Resources

Writing board, chalk, marker, duster, chart paper, textbook

  • Write following statements on the board and recall the properties of commutative and associative for addition, as; 4 + 2 = 2 + 4, (5 + 3) + 2 = 5 + (2 + 3)
  • Which properties are being used? (Expected answer would be as; Commutative and Associative Properties)
  • B + a = a + b, (a + b) + c = a + (b + c)
  • Now tell that these properties are also verified for multiplication.
  • 4 x 2 = 2 x 4 (Expected answer would be as; Commutative Properties)
  • (5 x 3) x 2 = 5 x (2 x 3) (Expected answer would be as; Associative Properties)
  • Announce that in this lesson we will verify these properties for the multiplication of fractions.


Activity 1

Individual & Pair Group Task:

  • Ask students to note down the following on their notebook and find the answer
  • Ask the students to pair up now.
  • Rearrange the fractions of each question, as; 3/5 x 7/7 will turn as 4/7 x 3/5
  • Do the same for all the five
  • Apply multiplication
  • What do you find about them?
  • They will conclude that :it makes no difference on the answer if we change the position or the order of the fractions”
  • Hence like addition, multiplication is also commutative.


Activity 2

Group Task:

  • Divide the students in 3 groups.
  • Call one student from each group.
  • Ask each of them to write one simple fraction on the board and they decide who will write first, then second and then third, and so on.
  • Ask them to multiply these fractions as they are written.
  • Now call other three students and ask them to swap the places of the fractions and then multiply.
  • Is there any change in the answer (Expected answer would be as; no)
  • Repeat this activity 3 to 4 times and students will deduce that changing the order of multiplication does n`t change the answer, hence multiplication of fraction is Associative.
  • Refer students to do textbook exercise questions for further practice.
  • Keep checking students work and help them if they make any mistake.


Sum up / Conclusion
  • Recap the main points of the lesson and conclude by giving one example of each that multiplication of fractions is commutative as well as associative.
  • Write following questions of fractions on the board and ask students to work in pairs, and groups.
  • Select any 2 questions and verify both properties.
  • Each student in pair or group must select different questions.
  • Then swap their copies for peer checking.
Follow up
  • Ask students to work in groups and show in groups and show with examples that whether these properties are verified in division as well.


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