# Lesson Plan: Revision of Logarithms for Numbers Greater Than One and Less Than One
### Grade Level
Senior Secondary 2
### Subject
Mathematics
### Topic
Revision of Logarithm of Numbers Greater Than One and Logarithm of Numbers Less Than One
### Duration
90 Minutes
### Objectives
By the end of the lesson, students will be able to:
1. Understand and apply the properties of logarithms.
2. Distinguish between logarithms of numbers greater than one and less than one.
3. Solve problems involving logarithms accurately.
4. Apply logarithmic concepts in real-world contexts.
### Materials Needed
- Whiteboard and markers
- Projector and laptop
- Scientific calculators
- Handouts with practice problems
- Graph paper
### Lesson Outline
#### Introduction (10 Minutes)
1. **Greeting and Attendance (2 Minutes)**:
- Welcome students and take attendance.
2. **Review of Previous Knowledge (5 Minutes)**:
- Briefly discuss the basics of logarithms (definition, base, properties).
3. **Set the Agenda (3 Minutes)**:
- Outline the main focus of the lesson: revising logarithms for numbers greater than one, and less than one.
#### Direct Instruction (20 Minutes)
1. **Logarithms of Numbers Greater Than One (10 Minutes)**:
- Discuss the properties such as:
- \(\log_b(xy) = \log_b(x) + \log_b(y)\)
- \(\log_b\left(\frac{x}{y}\right) = \log_b(x) - \log_b(y)\)
- \(\log_b(x^n) = n\log_b(x)\)
- Provide examples:
- Simplify \(\log_2(8)\)
- Simplify \(\log_5(125)\)
2. **Logarithms of Numbers Less Than One (10 Minutes)**:
- Discuss the concept that logarithms of numbers between 0 and 1 are negative.
- Provide examples:
- Simplify \(\log_{10}(0.01)\)
- Simplify \(\log_2(0.5)\)
#### Guided Practice (20 Minutes)
1. **Interactive Examples**:
- Work through a few example problems together as a class.
- Ask students to come up to the board to solve problems.
- Example 1: Simplify \(\log_3(27)\)
- Example 2: Simplify \(\log_4(0.25)\)
#### Group Activity (20 Minutes)
1. **Practice Problems**:
- Distribute handouts with practice problems.
- Break students into small groups and have them discuss and solve the problems.
- Sample problems:
- Simplify \(\log_6(36)\)
- Simplify \(\log_{10}(0.001)\)
- Simplify \(\log_5(125) + \log_5(25)\)
- Simplify \(\log_9(0.111)\)
- Walk around and assist groups as needed.
#### Independent Practice (15 Minutes)
1. **Individual Exercises**:
- Have students individually solve a set of problems to reinforce the concepts.
- Provide immediate feedback on their work.
#### Conclusion (5 Minutes)
1. **Summary and Review**:
- Summarize the key points of the lesson.
- Address any remaining questions.
2. **Homework Assignment**:
- Assign additional practice problems for homework.
3. **Preview Next Lesson**:
- Briefly introduce the next topic or continue with advanced logarithm concepts.
### Assessment
- **Formative**:
- Observe student participation during guided and group practice.
- Check for understanding through questioning and board work.
- **Summative**:
- Review homework assignments.
- Conduct a quiz or test on logarithms at a later date to assess comprehension.
### Reflection
- **After the Lesson**:
- Reflect on the effectiveness of the lesson.
- Note areas where students struggled and plan to address these in future lessons.
- Gather student feedback to improve teaching strategies.
This plan should equip students with a thorough understanding and ability to work with logarithms of numbers both greater and less than one.