Lesson Plan: Understanding Percentages
Subject: Mathematics
Topic: Percentage
Grade: Year 9
Duration: 30 minutes
Lesson Objectives
By the end of this lesson, students will be able to:
- Define percentage and its significance in real-life situations.
- Calculate percentages of given numbers.
- Convert fractions and decimals into percentages.
- Solve word problems involving percentages.
Resources Required
- Whiteboard and markers
- Projector for presentation slides
- Worksheets with practice problems
- Graphing paper
Introduction (5 minutes)
What is Percentage?
Introduce the concept of percentage, explaining that it is a way of expressing a number as a fraction of 100. Use everyday examples, such as discounts in shops and statistics in sports, to illustrate the relevance of percentages in daily life.
Key Vocabulary
- Percentage
- Fraction
- Decimal
Main Activity (20 minutes)
Step 1: Calculating Percentages (10 minutes)
-
Basic Calculation:
- Present the formula for calculating percentage:
[
\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100
]
- Example: What is 25% of 200?
[
\frac{25}{100} \times 200 = 50
]
-
Direct Calculation:
- Show how to find a percentage directly (e.g., finding 10% by dividing by 10 and multiplying by 10).
Step 2: Converting Between Forms (5 minutes)
-
Fractions to Percentages:
- Example: Convert ( \frac{3}{4} ) into a percentage:
- Calculation: ( \frac{3}{4} \times 100 = 75\% )
-
Decimals to Percentages:
- Example: Convert 0.45 into a percentage:
- Calculation: ( 0.45 \times 100 = 45\% )
Step 3: Word Problems (5 minutes)
Provide students with practical examples, such as:
- "A jacket originally costs £80, and is on sale for 20% off. What is the sale price?"
- "If a student scored 18 out of 20 on a test, what percentage did they achieve?"
Conclusion (5 minutes)
Review & Summary
Recap the key points covered in the lesson, emphasising:
- Definitions and formulas.
- The difference between percentage, fraction, and decimal.
- Practical applications of percentages in real life.
Homework Assignment
Tasks
-
Calculate the following percentages:
- a) What is 15% of 150?
- b) What is 30% of 250?
- c) Calculate 20% off a £60 jacket.
-
Convert the following:
- a) Convert ( \frac{5}{8} ) into a percentage.
- b) Convert 0.65 into a percentage.
-
Solve the word problems:
- a) A laptop originally costs £600 but is on sale for 25% off. What is the current price?
- b) If a student answered 22 questions correctly out of 30, what percentage did they get right?
Correct Answers
-
a) 22.5
b) 75
c) £48
-
a) 62.5%
b) 65%
-
a) £450
b) 73.33%
Reflection
Encourage students to think about how they use percentages in their daily lives, from shopping to budgeting. Ask them to observe and share any examples they find over the week.