# 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

##### Introduction
• 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.
##### Development

 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.
##### Assessment
• 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.