TOPIC: ADDITION AND SUBTRACTION OF FRACTIONS AND MIXED NUMBERS
A: TEACHING AND LEARNING MATERIALS
- Fraction chart.
- Fraction strips.
- Number cards.
- Paper shapes divided into equal parts.
- Chalkboard/whiteboard.
- Pupils’ exercise books and pencils.
B: REFERENCE MATERIALS
- Scheme of work.
- Recommended Mathematics textbook for Primary 5.
- Online educational resources.
C: PREVIOUS KNOWLEDGE
The pupils have learnt simple fractions, equivalent fractions and how to find the LCM of numbers.
D: PERFORMANCE OBJECTIVES
By the end of the lesson, pupils should be able to:
- Add fractions with the same denominator.
- Add fractions with different denominators.
- Subtract fractions correctly.
- Add mixed numbers.
- Subtract mixed numbers.
- Solve simple word problems involving fractions.
E: CONTENT
Addition of Fractions with the Same Denominator
When the denominators are the same, add the numerators.
Example:
2/7 + 3/7 = 5/7
Addition of Fractions with Different Denominators
Find the LCM of the denominators first.
Example:
1/2 + 1/4
LCM of 2 and 4 = 4
1/2 = 2/4
Therefore:
2/4 + 1/4 = 3/4
Subtraction of Fractions
Example:
5/6 − 2/6 = 3/6 = 1/2
Addition of Mixed Numbers
Example:
2 1/4 + 1 2/4
Add the whole numbers:
2 + 1 = 3
Add the fractions:
1/4 + 2/4 = 3/4
Answer = 3 3/4
Subtraction of Mixed Numbers
Example:
4 3/5 − 2 1/5
Whole numbers:
4 − 2 = 2
Fractions:
3/5 − 1/5 = 2/5
Answer = 2 2/5
Word Problem
Ada ate 1/4 of a cake in the morning and 2/4 in the evening.
Total eaten:
1/4 + 2/4 = 3/4
F: LESSON PRESENTATION
F1: Teachers’ Activities
- Revises equivalent fractions.
- Explains addition of fractions with the same denominator.
- Demonstrates addition of fractions with different denominators.
- Explains subtraction of fractions.
- Demonstrates addition and subtraction of mixed numbers.
- Solves simple word problems with the pupils.
- Gives exercises for practice.
F2: Pupils’ Activities
- Add simple fractions.
- Find common denominators.
- Subtract fractions.
- Add mixed numbers.
- Subtract mixed numbers.
- Solve word problems.
- Check their answers.
G: CONCLUSION
The teacher revises addition and subtraction of fractions and mixed numbers and corrects pupils where necessary.
Pupils are reminded to find a common denominator when the denominators are different.
H: EVALUATION GUIDE
Pupils should be able to answer the following questions:
- Add 2/5 + 1/5.
- Add 1/2 + 1/4.
- Subtract 5/8 − 2/8.
- Find 3/4 − 1/4.
- Add 2 1/3 + 1 1/3.
- Subtract 5 3/4 − 2 1/4.
- Bola ate 1/5 of a loaf in the morning and 2/5 in the afternoon. What fraction did she eat altogether?