### Lesson Plan: Senior Secondary 2 Mathematics - Inequalities
**Grade Level:** Senior Secondary 2
**Duration:** 70 minutes
**Subject:** Mathematics
**Topic:** Inequalities
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#### Objectives:
By the end of the lesson, students will be able to:
1. Understand the concept of inequalities.
2. Solve linear inequalities.
3. Represent solutions to inequalities on a number line.
4. Apply inequalities in problem-solving contexts.
#### Materials Needed:
- Whiteboard and markers
- Projector and laptop
- Student notebooks and pens
- Worksheet on inequalities
- Graph paper
- Rulers
#### Lesson Outline:
1. **Introduction (10 minutes)**
- Greet the students and introduce the topic of inequalities.
- Briefly explain what inequalities are, providing simple examples like \( x + 3 > 5 \), \( 2y - 4 \leq 6 \).
- Explain inequality symbols: \( > \), \( < \), \( \geq \), and \( \leq \).
2. **Direct Instruction (20 minutes)**
- **Solving Linear Inequalities:**
- Demonstrate solving simple inequalities step by step on the whiteboard.
- Example:
- For \( x + 3 > 5 \), subtract 3 from both sides: \( x > 2 \).
- Illustrate how to handle inequalities involving multiplication/division by negative numbers (remind students to reverse the inequality sign).
- Example:
- For \( -2x \leq 8 \), divide both sides by -2 and reverse the inequality: \( x \geq -4 \).
- **Representing Solutions on a Number Line:**
- Show students how to graph the solutions of inequalities on a number line.
- Explain open and closed circles:
- Example: For \( x > 2 \), draw an open circle at 2 and an arrow to the right.
- For \( x \geq -4 \), draw a closed circle at -4 and an arrow to the right.
3. **Guided Practice (15 minutes)**
- Distribute the worksheet on inequalities.
- Go through several problems from the worksheet with the class.
- Example problems:
- \( 3x - 7 < 2x + 5 \)
- \( 5 - 2y \leq 3y + 1 \)
- Encourage students to solve the inequalities and then graph the solutions on a number line.
4. **Independent Practice (15 minutes)**
- Allow students to complete the rest of the worksheet individually.
- Circulate around the room to assist students as needed.
5. **Application and Real-World Connection (5 minutes)**
- Discuss how inequalities can be used in real-life scenarios such as budgeting, physics, and engineering problems.
- Present a real-world problem involving inequalities for students to consider:
- Example: If a student needs a minimum grade of 75 in their next exam to pass the course and they currently have an average score of \( x \), how would they represent this situation as an inequality?
6. **Closure (5 minutes)**
- Recap the key points of the lesson:
- Definition and symbols of inequalities
- Solving linear inequalities
- Graphing solutions on a number line
- Ask a few students to summarize what they learned.
- Provide a preview of the next lesson on compound inequalities.
7. **Homework Assignment:**
- Assign problems from the textbook related to inequalities for extra practice.
- Encourage students to use their notes and classwork to help with the assignment.
#### Assessment:
- Formative: Monitor student participation during guided and independent practice.
- Summative: Collect and review the worksheets and homework to assess understanding and correct application of solving and graphing inequalities.
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**Note:**
Ensure the lesson is interactive and try to foster a collaborative learning environment. Adjust the pace of the lesson based on the comprehension and skill levels of the students.