Lesson Planning of Multiplication of Fraction

 

Lesson Planning of Multiplication of Fraction with Whole Number

Subject Mathematics

Grade 4th

Students` Learning Outcomes

  • Multiply fractions with whole numbers.

Information for Teachers

  • Multiplying a fraction by whole number follows the same rules as multiplying two fractions.

Multiplication of Fraction with Whole Number

  • A whole number can be considered as a fraction with a denominator of 1.
  • Therefore when a fraction is multiplied by a whole number the numerator of the fraction is multiplied by the number.
  • The denominator is multiplied by 1 which does n`t change the denominator.
  • While teaching the lesson, teacher should also consult with textbook at all steps where and when required.

Material/ Resources  

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

Introduction

  • Write on the board: 1 whole and ask:
  1. How many halves (1/2) it has? [2]
  2. Can I say it is as 2 x ½? [Yes]
  • Write the following on the board and make students repeat with you.
  • Ask the students; what we get if we divide any number with 1. i.e. 7 ÷ 1 = 7 / 1 = 7 (Repeat with other numbers)
  • Announce that today we will talk about multiplication of fractions with whole numbers.

Development

 

Activity 1

  • Through following points recap the students` previous knowledge;
  • A fraction is a part of a whole, as; if you had an apple and you cut into 5 equal parts, each pieces would represent 1 / 5. (Notice that if you put the five pieces back together or 1 / 5 + 1 / 5 + 1 / 5 + 1/5 + 14 / 5, then you would get 5 / 5 of an apple, which is 1 apple.)
  • If you want to show 3 / 5 of a circle, into how many equal parts would you have to divide that circle? How many of these parts would you need to shade?
  • Ask the students to recall the apple example above.
  • If we add 1 / 5 + 1 / 5 + 1 / 5 + 1 / 5 + 1 / 5, isn`t that the same as saying 5 x (1 / 5)? [yes]
  • Tell the students that; to multiply 5 and 1 / 5, you may need to rewrite 5 as 5 / 1.
  • Multiply the numerators to find the new denominator, which turns out to be 5 / 5.
  • Write on the board:
  • Solve another example: 2 / 3 x 12 on the board.
  • Solve few more examples on board, of different whole numbers and fractions, with the help of the students.

 

Activity 2

  • Ask the students some questions, and show working on the board.
  • There are 10 sweets in a bag. Zane eats half of them. How many sweets are left?
  • There are 8 children on the playground.
  • Half of them are called in to lunch. How many are left on the playground?
  • There are 120 pages in Sara’s book. She had read 1 / 3 of it. How many pages does she have left to read?
  • After solving and discussing these questions assign questions from the textbook for individual work.
  • Let them share the answers with the whole class and help them if they need.

 

Sum up / Conclusion

  • Conclude lesson with the following points.
  • Multiplying a fraction by whole number follows the same rules as multiplying two fractions.
  • Each whole number can be written in fraction form, i.e. 12 = 12/1, 35 = 35 / 1
  • Therefore when a fraction is multiplied by a whole number the numerator of the fraction is multiplied by the number.

Assessment

  • Give the following questions to solve by showing all steps of multiplication.

Follow up

  • Give following questions to do in their notebooks.
  • A group of farmers planted 72 fields of vegetables. They planted 1 / 6 parts of the fields with cabbage. How many fields of cabbage did the farmer plant?
  • Alana wants to cut down on sugar-so she decided to only use 2/3 of the amount of sugar mentioned in the recipe of 400 gm. How much sugar will she needed

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