Multiplication and Division of Fractions Mathematics Primary 5 First Term Lesson Notes Week 10

Subject: Mathematics

Class: Primary 5

Term: First Term

Week: 10

Topic: Multiplication and Division of Fractions

Sub-topic: Understanding how to multiply and divide fractions

Previous Knowledge: Students should be familiar with basic fractions, including numerator and denominator, and how to simplify fractions.

Learning Objectives:

1. To understand how to multiply fractions.
2. To comprehend the process of dividing fractions.
3. To apply these skills in real-life situations.

Key Vocabulary Words:

• Multiplication
• Division
• Numerator
• Denominator
• Simplify
• Fraction

Resources and Materials:

• Chalkboard/whiteboard and chalk/markers
• Math textbooks
• Fraction manipulatives (optional)
• Examples of fractions
• Worksheets

Embedded Core Skills:

• Problem-solving
• Critical thinking
• Arithmetic skills

Learning Materials:

• Fraction examples and practice problems

Content:

Multiplying Fractions:

1. To multiply fractions, multiply the numerators (top numbers) together.
2. Then, multiply the denominators (bottom numbers) together.
3. Simplify the result if needed by finding the common factors.

Example:

• 1/2 * 3/4 = (1 * 3) / (2 * 4) = 3/8

Dividing Fractions:

1. To divide fractions, keep the first fraction as is and flip (invert) the second fraction.
2. Change division to multiplication.
3. Then, follow the steps for multiplying fractions.

Example:

• 1/3 ÷ 2/5 = 1/3 * 5/2 = (1 * 5) / (3 * 2) = 5/6

Remember, practice makes perfect, so keep practicing these fractions!

Multiplication Examples:

1. 1/2 * 3/4 = (1 * 3) / (2 * 4) = 3/8
2. 2/5 * 4/7 = (2 * 4) / (5 * 7) = 8/35
3. 3/8 * 2/3 = (3 * 2) / (8 * 3) = 6/24 (Simplify to 1/4)

Division Examples:

4. 1/3 ÷ 2/5 = 1/3 * 5/2 = (1 * 5) / (3 * 2) = 5/6
5. 3/4 ÷ 1/2 = 3/4 * 2/1 = (3 * 2) / (4 * 1) = 6/4 (Simplify to 3/2)
6. 2/3 ÷ 4/5 = 2/3 * 5/4 = (2 * 5) / (3 * 4) = 10/12 (Simplify to 5/6)

These examples should help you practice and understand how to multiply and divide fractions.

Fill in the Blank Questions:

1. To multiply fractions, we multiply the _____ and then the _____. a) numerators, denominators b) denominators, numerators c) whole numbers, fractions d) fractions, decimals
2. Simplify 2/4 * 3/5: 2/4 simplifies to _____. a) 1/5 b) 3/5 c) 1/2 d) 2/9
3. To divide fractions, keep the first fraction and _____ the second fraction. a) add b) subtract c) flip (invert) d) multiply
4. Change division to _____ when dividing fractions. a) addition b) subtraction c) multiplication d) division
5. Simplify 4/6 ÷ 2/3: 4/6 simplifies to _____. a) 2/9 b) 1/2 c) 2/3 d) 1/3
6. What is the product of 3/8 and 5/6? a) 15/14 b) 5/24 c) 9/14 d) 5/8
7. If you divide 2/5 by 1/4, what is the result? a) 8/5 b) 5/8 c) 1/8 d) 4/10
8. Multiply 1/3 by 2/4: The answer simplifies to _____. a) 2/3 b) 1/4 c) 3/4 d) 2/5
9. What is 7/9 divided by 3/7? a) 21/49 b) 49/21 c) 1/3 d) 4/3
10. If you divide 5/6 by 2/3, what is the quotient? a) 1/2 b) 1/3 c) 2/5 d) 3/5
11. Multiply 2/7 by 6/5: The answer is _____. a) 3/5 b) 12/35 c) 5/6 d) 3/7
12. Simplify 1/4 * 4/5: 4/5 simplifies to _____. a) 1/5 b) 5/4 c) 1/4 d) 4/25
13. What is the result of 4/8 divided by 1/2? a) 2/4 b) 1/8 c) 4/1 d) 1/1
14. If you divide 6/7 by 2/7, what is the quotient? a) 7/14 b) 3/4 c) 1/4 d) 4/3
15. Multiply 3/9 by 5/4: The answer simplifies to _____. a) 5/9 b) 15/12 c) 15/36 d) 2/3

Presentation:

• Begin by reviewing what fractions are and how they are written (e.g., 1/2, 3/4).
• Introduce the concept of multiplying fractions. Explain that to multiply fractions, you multiply the numerators and denominators.
• Provide clear examples on the board: 1/2 * 3/4 = (1 * 3) / (2 * 4) = 3/8.
• Discuss the importance of simplifying fractions and show how it’s done (e.g., 3/8 simplifies to 3/8).
• Move on to dividing fractions. Explain that to divide fractions, we keep the first fraction and flip (invert) the second fraction, changing division to multiplication.
• Show an example: 1/3 ÷ 2/5 = 1/3 * 5/2 = (1 * 5) / (3 * 2) = 5/6.

Step 1:

• Ask students to pay close attention to the explanation.

Step 2:

• Encourage students to practice multiplying and dividing fractions using examples on the board.

Step 3:

• Hand out worksheets with fraction problems for students to solve.

Teacher’s Activities:

• Explain the concept of fractions.
• Provide step-by-step instructions for multiplication and division.
• Give real-life examples of using fractions.

Learners Activities:

• Listen attentively to the teacher’s explanation.
• Participate in solving problems on the board and worksheets.

Assessment:

• Assess students’ understanding by observing their participation in solving problems and worksheets.

Ten Evaluation Questions:

1. What is a fraction?
2. How do you multiply fractions?
3. Why is it important to simplify fractions?
4. What is the process of dividing fractions?
5. Can you simplify 4/8 to its simplest form?
6. How do you change division into multiplication when dealing with fractions?
7. Calculate 2/3 * 3/5.
8. Solve 5/6 ÷ 2/3.
9. Simplify 6/8 to its simplest form.
10. Apply what you’ve learned to solve a real-world problem involving fractions.

Conclusion:

• Summarize the key points of the lesson: multiplying and dividing fractions, simplification, and the importance of these skills in real life.

Assignment:

• Assign homework that includes more multiplication and division of fractions problems.