Lesson Plan of Proper and Improper Fractions
Students` Learning Outcomes
- Differentiate between proper and improper fractions.
Information for Teachers
- An improper fraction is “top heavy” which means that the numerator is more than the denominator e.g.
- Its value is always more than unit.
- A fraction is proper when it numerator is smaller than denominator, and its value is always less than unit e.g.
- While teaching the lesson, also consult textbook where and when applicable.
Material / Resources
Writing board, chalk/marker, duster, paper strips, fraction cards, fraction strips, box, coloured chalk
- Show different kinds of diagrams of proper fractions to the class.
- Ask students to tell the fraction of each diagram.
- Show diagram of improper fraction and ask for the difference in both one.
- Tell the students that proper fraction is less than 1 whereas improper fraction is more than 1.
- Write the fraction on the board e.g.
- Ask students how each fraction is different from the other.
- Use proper vocabulary e.g. proper and improper fraction.
- Show one paper strip to the students.
- Discuss how to share one strip with two students.
- Ask student what fraction each child has; write the fraction on the board.
- Now show three strips and discuss how to share equally among two students.
- Allow the children to try and figure out how this will be done.
- Guide them in dividing all 3 strips in half and each child gets 3 halves.
- Ask how can we write it?
- Ask them to write it mathematically on the board.
- Make student realize that in first situation each student got less than a whole strip but in second case each student gets more than a whole strip.
- Discuss ½ and 3/2 fractions highlight values of numerator and denominator in both cases.
- Draw attention to the fact that in case of ½ the fraction shows a quantity less than 1, the numerator is less than the denominator. Such fractions are called proper fractions.
- Ask “is 3/2 a proper fraction?”
- Draw attention to the fact that 3/2 shows a quantity more than 1 and its numerator is bigger than the denominator. Such fractions are called improper fractions.
- Write different proper and improper fractions on the cards.
- Put them in a box and give this resource to students in groups.
- Ask one group to collect proper fraction cards and other groups of students to collect improper fraction card.
- After cards collection ask each group to paste their collected cards on a chart paper, give a title ‘proper fraction’ and ‘improper fraction’.
- Hang chart papers in front of class and give a presentation about proper and improper fractions.
- Divide class into groups.
- Hang a fraction board (as shown in the figure) on the writing board; provide a coin and colour chalks or marker to the students.
- Call students turn by turn from each group.
- Ask them to flip the coin, if head appears students need to colour a proper fraction with marker. If tall comes they will colour improper fraction.
- If they colour correctly, one point will be given to students otherwise student will lose one mark and turn will go to other group.
- Winner will be appreciated with a gift.
Sum up / Conclusion
- Conclude the lesson by repeating that in a proper fraction the numerator is less than a denominator is greater than the denominator.
- Ask any two examples of proper and improper fraction.
- Give some fractions to students and ask them to separate proper fractions and improper fraction.
- Ask students to complete the sheet by writing fraction, and also circle improper fractions.
- Ask students to write 10 examples of proper and improper fractions in their notebooks.
- Ask students to show any two proper and improper fraction through diagram.
Ask the students to solve the questions given in the textbook.