Ordering of fractions, changing fraction to decimal, changing decimal to fraction, conversion of fraction and decimal to percentage and vice versa Mathematics Primary 5 First Term Lesson Notes Week 6
Mathematics Primary 5 First Term Lesson Notes
Week: 6
Subject: Mathematics
Class: Primary 5
Term: First Term
Age: 10 years
Topic: Fractions
Sub-Topics:
- Ordering of Fractions
- Changing Fractions to Decimals
- Changing Decimals to Fractions
- Changing Fractions and Decimals to Percentages
- Quantitative Reasoning
Duration: 40 minutes
Behavioural Objectives:
By the end of the lesson, pupils should be able to:
- Arrange fractions in ascending or descending order.
- Convert fractions to decimals and vice versa.
- Convert fractions and decimals to percentages.
- Solve real-life problems involving fractions, decimals, and percentages.
- Apply quantitative aptitude to problems related to fractions, decimals, and percentages.
Keywords:
- Fractions
- Decimals
- Percentages
- Ordering
- Conversion
Set Induction:
The teacher will start by discussing situations where fractions, decimals, and percentages are used, such as in shopping or measuring. This will lead into the lesson on converting and ordering these values.
Entry Behaviour:
Pupils should have basic knowledge of fractions, decimals, and percentages.
Learning Resources and Materials:
- Fraction and decimal charts
- Worksheets for practice
- Calculators
- Real-life problem scenarios
Building Background/Connection to Prior Knowledge: The teacher will review basic concepts of fractions, decimals, and percentages, and then explain how to convert between these forms.
Embedded Core Skills:
- Critical thinking
- Problem-solving
- Numerical reasoning
Learning Materials:
- Charts for fractions, decimals, and percentages
- Practice worksheets
- Calculators
Reference Books:
Lagos State Scheme of Work, Primary 5 Mathematics Textbook
Instructional Materials:
- Fraction and decimal charts
- Worksheets
- Calculators
Content:
- Ordering of Fractions
- Methods to compare and arrange fractions in ascending or descending order.
- Examples and practice problems.
- Changing Fractions to Decimals
- Steps to convert fractions to decimals.
- Examples and practice problems.
- Changing Decimals to Fractions
- Steps to convert decimals to fractions.
- Examples and practice problems.
- Changing Fractions and Decimals to Percentages
- Methods to convert fractions and decimals to percentages.
- Examples and practice problems.
- Quantitative Reasoning
- Application of fractions, decimals, and percentages in real-life problems.
- Practice problems and examples.
Fractions, Decimals, and Percentages
Ordering of Fractions
- Explanation:
- To order fractions, convert them to decimals or find a common denominator.
Examples:
- Example 1: Order 2/5, 3/10, and 1/2 from smallest to largest.
- Convert to decimals: 2/5 = 0.4, 3/10 = 0.3, 1/2 = 0.5
- Order: 3/10, 2/5, 1/2
- Example 2: Arrange 4/7, 3/5, and 1/3 in ascending order.
- Convert to decimals: 4/7 ≈ 0.571, 3/5 = 0.6, 1/3 ≈ 0.333
- Order: 1/3, 4/7, 3/5
- Example 3: Order 5/8, 2/3, and 7/10 from largest to smallest.
- Convert to decimals: 5/8 = 0.625, 2/3 ≈ 0.667, 7/10 = 0.7
- Order: 7/10, 2/3, 5/8
- Example 4: Arrange 6/11, 5/9, and 7/12 in descending order.
- Convert to decimals: 6/11 ≈ 0.545, 5/9 ≈ 0.556, 7/12 ≈ 0.583
- Order: 7/12, 5/9, 6/11
- Example 5: Order 3/8, 2/7, and 4/9 from smallest to largest.
- Convert to decimals: 3/8 = 0.375, 2/7 ≈ 0.286, 4/9 ≈ 0.444
- Order: 2/7, 3/8, 4/9
- Class Work:
- Problem 1: Order 1/4, 3/8, and 2/5 from smallest to largest.
- Problem 2: Arrange 5/6, 2/3, and 3/4 in ascending order.
- Problem 3: List 7/10, 5/12, and 3/5 from largest to smallest.
- Problem 4: Order 2/9, 1/6, and 3/7 from smallest to largest.
- Problem 5: Arrange 4/5, 3/4, and 7/8 in descending order.
Changing Fractions to Decimals
- Explanation:
- To convert a fraction to a decimal, divide the numerator by the denominator.
Examples:
- Example 1: Convert 3/4 to a decimal.
- 3 ÷ 4 = 0.75
- Example 2: Convert 7/8 to a decimal.
- 7 ÷ 8 = 0.875
- Example 3: Convert 2/5 to a decimal.
- 2 ÷ 5 = 0.4
- Example 4: Convert 11/20 to a decimal.
- 11 ÷ 20 = 0.55
- Example 5: Convert 9/16 to a decimal.
- 9 ÷ 16 = 0.5625
- Class Work:
- Problem 1: Convert 5/12 to a decimal.
- Problem 2: Convert 3/7 to a decimal.
- Problem 3: Convert 4/9 to a decimal.
- Problem 4: Convert 13/25 to a decimal.
- Problem 5: Convert 7/16 to a decimal.
Changing Decimals to Fractions
- Explanation:
- To convert a decimal to a fraction, write the decimal as a fraction with 1 as the denominator followed by the number of decimal places.
Examples:
- Example 1: Convert 0.75 to a fraction.
- 0.75 = 75/100 = 3/4
- Example 2: Convert 0.4 to a fraction.
- 0.4 = 4/10 = 2/5
- Example 3: Convert 0.125 to a fraction.
- 0.125 = 125/1000 = 1/8
- Example 4: Convert 0.6 to a fraction.
- 0.6 = 6/10 = 3/5
- Example 5: Convert 0.875 to a fraction.
- 0.875 = 875/1000 = 7/8
- Class Work:
- Problem 1: Convert 0.2 to a fraction.
- Problem 2: Convert 0.9 to a fraction.
- Problem 3: Convert 0.35 to a fraction.
- Problem 4: Convert 0.55 to a fraction.
- Problem 5: Convert 0.4 to a fraction.
Changing Fractions and Decimals to Percentages
- Explanation:
- To convert a fraction to a percentage, multiply by 100.
- To convert a decimal to a percentage, move the decimal point two places to the right.
Examples:
- Example 1: Convert 3/4 to a percentage.
- 3/4 × 100 = 75%
- Example 2: Convert 0.6 to a percentage.
- 0.6 × 100 = 60%
- Example 3: Convert 2/5 to a percentage.
- 2/5 × 100 = 40%
- Example 4: Convert 0.125 to a percentage.
- 0.125 × 100 = 12.5%
- Example 5: Convert 7/8 to a percentage.
- 7/8 × 100 = 87.5%
- Class Work:
- Problem 1: Convert 5/8 to a percentage.
- Problem 2: Convert 0.4 to a percentage.
- Problem 3: Convert 3/10 to a percentage.
- Problem 4: Convert 0.75 to a percentage.
- Problem 5: Convert 7/12 to a percentage.
Quantitative Reasoning
- Explanation:
- Apply fractions, decimals, and percentages to solve real-life problems.
Examples:
- Example 1: A shop offers a 25% discount on an item priced at $60. What is the discounted price?
- 25% of 60 = 15
- Discounted price = $60 – $15 = $45
- Example 2: A recipe calls for 3/4 cup of sugar, and you have 1/2 cup. How much more sugar is needed?
- 3/4 – 1/2 = 1/4
- Example 3: Convert 0.8 to a fraction and then find 20% of 3/5 of a number.
- 0.8 = 4/5
- 20% of 3/5 = 3/25
- Example 4: If you score 18 out of 24 in a test, what percentage did you score?
- 18/24 × 100 = 75%
- Example 5: A class of 30 students has 12 boys. What percentage of the class are boys?
- 12/30 × 100 = 40%
- Class Work:
- Problem 1: A book originally costs $50, and it’s on sale for 40% off. What is the sale price?
- Problem 2: If a fruit basket contains 15 apples and 5 oranges, what percentage of the fruits are oranges?
- Problem 3: You read 7/10 of a book. What percentage of the book have you read?
- Problem 4: A student scored 85% on a test of 40 questions. How many questions did they answer correctly?
- Problem 5: Convert 0.45 to a fraction and then find 50% of 7/8 of a number.
Assessment
- Convert 3/4 to a decimal. The result is __________.
a) 0.75
b) 0.25
c) 1.75
d) 0.5 - What is 0.5 as a fraction?
a) 1/2
b) 1/4
c) 2/5
d) 3/5 - Convert 0.6 to a percentage. The result is __________.
a) 60%
b) 6%
c) 0.6%
d) 6 - Arrange 1/2, 3/4, and 2/3 in ascending order: __________.
a) 1/2, 2/3, 3/4
b) 3/4, 2/3, 1/2
c) 2/3, 1/2, 3/4
d) 1/2, 3/4, 2/3 - Convert 7/10 to a decimal. The result is __________.
a) 0.7
b) 0.07
c) 0.17
d) 0.17 - What is 25% as a fraction?
a) 1/4
b) 1/5
c) 1/2
d) 1/8 - Convert 0.75 to a fraction. The result is __________.
a) 3/4
b) 1/2
c) 7/10
d) 3/5 - What is 3/5 as a percentage?
a) 60%
b) 30%
c) 15%
d) 35% - Arrange 4/5, 1/4, and 3/10 in descending order: __________.
a) 4/5, 3/10, 1/4
b) 1/4, 3/10, 4/5
c) 3/10, 1/4, 4/5
d) 4/5, 1/4, 3/10 - Convert 0.4 to a percentage. The result is __________.
a) 40%
b) 4%
c) 0.4%
d) 4 - What is 1/8 as a decimal?
a) 0.125
b) 0.25
c) 0.5
d) 0.75 - Convert 45% to a fraction. The result is __________.
a) 9/20
b) 4/5
c) 45/100
d) 9/25 - What is 0.2 as a fraction?
a) 1/5
b) 1/2
c) 2/5
d) 1/4 - Arrange 2/5, 1/3, and 3/6 in ascending order: __________.
a) 1/3, 2/5, 3/6
b) 3/6, 2/5, 1/3
c) 2/5, 1/3, 3/6
d) 1/3, 3/6, 2/5 - Convert 0.85 to a percentage. The result is __________.
a) 85%
b) 8.5%
c) 0.85%
d) 85
Class Activity Discussion
- Q: How do you convert a fraction to a decimal?
A: Divide the numerator by the denominator. - Q: What is the process to convert a decimal to a fraction?
A: Write the decimal as a fraction with a denominator of 10, 100, or 1,000, and simplify. - Q: How do you change a fraction to a percentage?
A: Convert the fraction to a decimal and then multiply by 100. - Q: What is the decimal equivalent of 3/8?
A: 0.375 - Q: How do you order fractions?
A: Convert fractions to a common denominator or decimals and then compare. - Q: How do you convert 0.2 to a fraction?
A: 0.2 is equivalent to 1/5. - Q: What is 50% as a fraction?
A: 1/2 - Q: How do you convert 1/4 to a decimal?
A: 1 divided by 4 equals 0.25. - Q: What is the percentage of 0.9?
A: 90% - Q: How do you convert a fraction to a percentage?
A: Convert the fraction to a decimal and multiply by 100. - Q: What is 7/10 as a decimal?
A: 0.7 - Q: How do you change 0.75 to a fraction?
A: 0.75 is equivalent to 3/4. - Q: What is the decimal form of 1/2?
A: 0.5 - Q: How do you find the percentage of a decimal?
A: Multiply the decimal by 100. - Q: What is 25% as a decimal?
A: 0.25
Presentation:
Step 1: Review basic concepts of fractions, decimals, and percentages.
Step 2: Demonstrate the conversion between fractions, decimals, and percentages with examples.
Step 3: Solve real-life problems involving these concepts and guide pupils through practice exercises.
Teacher’s Activities:
- Demonstrate how to convert and order fractions, decimals, and percentages.
- Provide practice problems and assist pupils in solving them.
- Use charts and examples to reinforce learning.
Learners’ Activities:
- Complete practice worksheets on conversion and ordering.
- Participate in solving real-life problems using fractions, decimals, and percentages.
- Engage in discussions and problem-solving exercises.
Assessment:
- Convert 1/3 to a decimal. The result is __________.
- What is 0.8 as a fraction?
- Change 0.45 to a percentage.
- Arrange 5/6, 1/2, and 2/3 in ascending order.
- Convert 3/5 to a decimal.
- What is 20% as a fraction?
- Convert 0.9 to a fraction.
- What is 7/8 as a percentage?
- Arrange 4/7, 1/2, and 3/5 in descending order.
- Convert 0.35 to a percentage.
- What is the decimal equivalent of 1/10?
- Change 75% to a fraction.
- What is 0.25 as a fraction?
- Arrange 3/4, 1/5, and 2/3 in ascending order.
- Convert 0.6 to a percentage.
Evaluation Questions:
- What is the decimal equivalent of 2/5?
- Convert 0.7 to a fraction.
- What is 35% as a fraction?
- Arrange 7/10, 3/4, and 1/2 in descending order.
- Convert 1/8 to a decimal.
- What is 40% as a decimal?
- Convert 0.3 to a fraction.
- What is the percentage of 4/5?
- Arrange 5/8, 1/3, and 2/5 in ascending order.
- Convert 0.55 to a percentage.
- What is the fraction form of 0.9?
- Change 60% to a fraction.
- What is the decimal equivalent of 3/10?
- Arrange 2/5, 3/4, and 1/2 in descending order.
- Convert 0.85 to a percentage.
Conclusion:
The teacher will review pupils’ answers, provide feedback, and correct any misunderstandings. Pupils will discuss real-life applications of fractions, decimals, and percentages and reflect on their learning.
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