Lesson Plan for Senior Secondary 2 - Mathematics - Percentage Error

**Lesson Plan: Percentage Error** **Class: Senior Secondary 2** **Subject: Mathematics** **Duration: 1 Hour** **Topic: Percentage Error** --- **Learning Objectives:** By the end of this lesson, students should be able to: 1. Define percentage error. 2. Understand the formula to calculate percentage error. 3. Calculate the percentage error for given data sets. 4. Interpret the significance of percentage error in practical applications. --- **Materials Needed:** - Whiteboard and markers - Calculator - Handouts with example problems - Graph paper - Projector (if available) --- **Lesson Outline:** 1. **Introduction (5 minutes)** - Begin with a brief discussion on measurement and its importance in various fields. - Highlight situations where measurements are prone to errors. 2. **Lesson Development (10 minutes)** - **Definition:** - Define Percentage Error: The amount by which an observed or calculated value deviates from the true value, expressed as a percentage of the true value. - **Formula:** - Explain the formula: \[ \text{Percentage Error} = \left( \frac{|\text{Experimental Value} - \text{Theoretical Value}|}{\text{Theoretical Value}} \right) \times 100 \] 3. **Worked Examples (15 minutes)** - Present a few worked examples on the board. - Example 1: If the theoretical value is 50 and the experimental value is 45, calculate the percentage error. - Solution: \[ \text{Percentage Error} = \left( \frac{|45 - 50|}{50} \right) \times 100 = 10\% \] - Example 2: If the theoretical value is 80 and the experimental value is 76, calculate the percentage error. - Solution: \[ \text{Percentage Error} = \left( \frac{|76 - 80|}{80} \right) \times 100 = 5\% \] 4. **Guided Practice (15 minutes)** - Divide students into pairs and hand out practice worksheets. - Instruct students to solve a set of problems, using the formula for percentage error. - Walk around to provide help and feedback as necessary. 5. **Class Discussion and Summarization (10 minutes)** - Discuss the answers to the worksheet, confirming the correct solutions. - Summarize the key points of the lesson. - Highlight how percentage error is used in various applications like science experiments, quality control in manufacturing, etc. 6. **Independent Practice (5 minutes)** - Assign a few problems to be done independently as homework. - Encourage students to report their findings by identifying possible sources of error in each case and interpreting the results. 7. **Conclusion (5 minutes)** - Ask students to reflect on what they learned about percentage error. - Provide a preview of the next lesson topic. - Inform students if there are any upcoming quizzes or assignments related to the topic. --- **Homework:** 1. Calculate the percentage error in the following cases: - Theoretical value: 100, Experimental value: 93 - Theoretical value: 250, Experimental value: 240 2. Write a brief paragraph on the importance of understanding percentage error in real-life scenarios. --- **Assessment:** - Participation and engagement during class activities. - Accuracy in solving guided practice problems. - Homework completion and accuracy. --- **Notes:** - Remind students that understanding percentage error is critical in evaluating the precision and accuracy of their results in various experiments and measurements. - Encourage them to think about how reducing percentage error can lead to better outcomes in real-world applications.