Division Of Fractions Basic 5 Mathematics Lesson Note

Behavioural Objectives:

By the end of the lesson, pupils should be able to:

1. Multiply fractions
2. Solve real-life problems involving multiplication of fractions
3. Multiply given decimals by whole numbers
4. Estimate and solve real-life problems involving multiplication of decimals and fractions
5. Solve quantitative aptitude problems related to multiplication of decimals and fractions

Keywords:

• Fractions
• Decimals
• Multiplication
• Real-life problems
• Quantitative reasoning

Set Induction:

The teacher will begin by discussing common scenarios where multiplication of fractions and decimals are used in real life, such as cooking and shopping, to highlight the importance of these skills.

Entry Behaviour:

Pupils should already know how to perform basic multiplication and understand the concept of fractions and decimals.

Learning Resources and Materials:

1. Fraction and decimal charts
2. Worksheets for practice
3. Visual aids for multiplication
4. Real-life scenario examples

Building Background/Connection to Prior Knowledge:

The teacher will review basic multiplication and connection to multiplication of fractions and decimals.

Embedded Core Skills:

• Problem solving
• Analytical thinking
• Application of mathematical operations

Learning Materials:

1. Fraction and decimal charts
2. Practice worksheets
3. Visual aids

Reference Books:

Lagos State Scheme of Work, Primary 5 Mathematics Textbook

Instructional Materials:

1. Fraction and decimal charts
2. Worksheets
3. Whiteboard and markers

Content:

1. Multiplication of Decimals by Whole Numbers

• Multiplying decimals by whole numbers
• Examples and practice problems

2. Multiplication of Fractions

• Multiplying two fractions
• Simplifying the result
• Examples and practice problems

3. Real-Life Problems on Multiplication of Decimals and Fractions

• Applying multiplication of decimals and fractions to real-life scenarios
• Examples and practice problems

4. Quantitative Reasoning

• Solving quantitative aptitude problems involving multiplication of decimals and fractions
• Examples and practice problems

Multiplication of Decimals by Whole Numbers

Multiplying Decimals by Whole Numbers:

To multiply a decimal by a whole number, multiply the numbers as if they were whole numbers, then place the decimal point in the product. The decimal point should be placed so that there are as many digits to the right of it in the product as there are in the original decimal.

Examples:

• 1.5 × 4 = 6.0
• 2.3 × 5 = 11.5
• 0.7 × 8 = 5.6
• 3.1 × 6 = 18.6
• 4.2 × 3 = 12.6
• 5.7 × 2 = 11.4

Class Work:

1. 2.4 × 6 = ?
2. 1.8 × 4 = ?
3. 3.5 × 7 = ?
4. 4.3 × 2 = ?
5. 6.8 × 3 = ?

Multiplication of Fractions

Multiplying Two Fractions:

To multiply two fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Then, simplify the fraction if possible.

Formula: a/b × c/d = (a × c)/(b × d)

Examples:

• 1/2 × 3/4 = 3/8 (which simplifies to 3/8)
• 2/3 × 4/5 = 8/15 (which simplifies to 8/15)
• 1/4 × 2/3 = 2/12 (which simplifies to 1/6)
• 3/5 × 1/2 = 3/10
• 4/9 × 3/8 = 12/72 (which simplifies to 1/6)

Class Work:

1. 2/5 × 3/7 = ?
2. 1/3 × 4/9 = ?
3. 3/8 × 2/5 = ?
4. 2/9 × 5/6 = ?
5. 4/7 × 1/4 = ?

Real-Life Problems on Multiplication of Decimals and Fractions

Applying Multiplication of Decimals and Fractions to Real-Life Scenarios:

Use multiplication skills to solve practical problems involving shopping, cooking, or measuring.

Examples:

Example 1: If one apple costs $0.75, what is the cost of 6 apples?

• Solution: 0.75 × 6 = $4.50

Example 2: A recipe calls for 2/3 cup of sugar. How much sugar is needed if the recipe is doubled?

• Solution: 2/3 × 2 = 4/6 = 2/3 cups

Example 3: If a car travels 2.5 miles in one hour, how far will it travel in 3 hours?

• Solution: 2.5 × 3 = 7.5 miles

Example 4: A piece of fabric is 3/4 meter long. If you need to buy 4 similar lengths, how much fabric in total will you buy?

• Solution: 3/4 × 4 = 12/4 = 3 meters

Example 5: A baker uses one-third of 3/5 of flour per person. How much will 4.5 liters cost?

• Solution: 1/3 × 3/5 = 3/15 = 1/5

Class Work:

1. A chocolate bar costs $2.30. What is the total cost of 4 chocolate bars?
2. If 3/4 liter of juice is needed for one recipe, how much juice is needed for 3 recipes?
3. A bag of rice costs $8.50. What is the cost of 5 bags?
4. If a person needs 2/5 liters every day, how far will they walk in 7 days?
5. A farmer plants 1.5 tons of seeds per acre. How many tons of seeds are needed for the total length?