Lesson Plan: Percentages
Subject: Mathematics
Grade: 6
Duration: 30 minutes
Topic: Percentages
Objectives:
By the end of this lesson, students will be able to:
- Define what a percentage is.
- Convert fractions and decimals to percentages.
- Solve basic percentage problems.
Materials Needed:
- Whiteboard and markers
- Worksheets with practice problems
- Calculators (optional)
Lesson Outline:
Introduction (5 minutes)
- Begin with a brief explanation of percentages.
- Ask students if they know what percentage means and where they might encounter percentages in real life (e.g., sales tax, discounts, sports statistics).
- Introduce the formula:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
Direct Instruction (10 minutes)
-
Converting Fractions to Percentages:
- Example: Convert (\frac{1}{4}) to a percentage.
- Step 1: Divide 1 by 4, which equals 0.25.
- Step 2: Multiply by 100 to get 25%.
- Provide additional examples, such as (\frac{3}{10}) and (\frac{5}{8}).
-
Converting Decimals to Percentages:
- Example: Convert 0.65 to a percentage.
- Step 1: Multiply 0.65 by 100 to get 65%.
- Give more practice examples like 0.85 and 0.5.
-
Solving Percentage Problems:
- Provide a simple problem: What is 25% of 200?
- Solution:
[
25\% \text{ of } 200 = \left( \frac{25}{100} \right) \times 200 = 50
]
- Encourage students to solve the problem together as a class.
Guided Practice (5 minutes)
- Distribute worksheets with problems that involve converting fractions and decimals to percentages and solving basic percentage problems.
- Walk around the room, assisting students as needed and ensuring they understand the tasks.
Independent Practice (5 minutes)
- Allow students to work individually on a few problems from the worksheet.
- Problems should include:
- Convert ( \frac{2}{5} ) to a percentage.
- Convert 0.45 to a percentage.
- What is 40% of 500?
Closure (5 minutes)
- Review key concepts and check for understanding.
- Ask students to share their answers to the independent practice problems and clarify any misunderstandings.
Homework Assignment:
Instructions: Complete the following exercises.
-
Convert the following fractions to percentages:
- a) ( \frac{1}{2} )
- b) ( \frac{3}{4} )
-
Convert the following decimals to percentages:
-
Solve the following percentage problems:
- a) What is 30% of 150?
- b) If you scored 18 out of 25 on a test, what percentage did you achieve?
Homework Answers:
-
- a) ( \frac{1}{2} = 50\% )
- b) ( \frac{3}{4} = 75\% )
-
- a) 0.2 = 20%
- b) 0.75 = 75%
-
- a) 30% of 150 = 45
- b) ( \frac{18}{25} = 0.72 \rightarrow 72\% )
Additional Notes:
- Encourage students to think of real-world applications for percentages and to practice using them regularly.
- Offer extra help for students who may struggle with the concepts.