**Lesson Plan: Solution of Inequalities in One Variable**
**Subject:** Mathematics
**Grade Level:** Junior Secondary 2
**Duration:** 60 minutes
**Topic:** Solution of Inequalities in One Variable
**Objectives:**
By the end of the lesson, students will be able to:
1. Understand what an inequality is and how it differs from an equation.
2. Solve linear inequalities in one variable.
3. Graph the solutions of inequalities on a number line.
4. Apply the concept of inequalities to solve real-life problems.
**Materials:**
- Whiteboard and markers
- Graph paper and pencils
- Worksheets with practice problems
- Projector (optional for visual aids)
**Lesson Structure:**
1. **Introduction (10 minutes)**
- **Warm-Up Activity:** Begin with a quick review of linear equations in one variable. Ask students to solve a couple of simple linear equations on the board.
- **Discussion:** Introduce the concept of inequality. Explain how inequalities are like equations but with different relational symbols (>, <, ≥, ≤) instead of the equality sign (=).
2. **Direct Instruction (15 minutes)**
- **Definition and Symbols:** Clearly define inequalities and explain each symbol.
- **Examples:** Write down and solve a few examples of inequalities on the board. For instance:
1. \(2x + 3 > 7\)
2. \(4 - x \leq 2\)
- **Step-by-Step Solution:** Show step-by-step methods to isolate the variable and solve the inequality.
- **Important Note:** Highlight that when multiplying or dividing by a negative number, the inequality sign reverses.
3. **Guided Practice (15 minutes)**
- **Interactive Participation:** Call on students to help solve a few more inequalities on the board with your guidance. For example:
1. \(3(x - 2) < 9\)
2. \(\frac{x + 4}{2} \geq 5\)
- **Graphing on Number Line:** Demonstrate how to graph the solution of inequalities on a number line. Emphasize the use of open and closed circles to indicate whether endpoints are included or not.
4. **Independent Practice (15 minutes)**
- **Worksheet Activity:** Hand out worksheets with a variety of inequalities for students to solve independently. Include problems that require graphing the solutions on number lines.
- **Monitoring:** Walk around the classroom providing assistance as needed, and check for understanding.
5. **Application and Real-Life Problems (5 minutes)**
- **Discussion:** Briefly discuss how inequalities are used in real life, such as budgeting money, determining age limits, and analyzing speed limits.
- **Example Problem:** Present a real-life scenario and ask the students to form and solve an inequality based on the scenario.
6. **Conclusion and Assessment (5 minutes)**
- **Review Key Points:** Summarize the key concepts covered in the lesson.
- **Exit Ticket:** Give a quick problem for students to solve individually as an exit ticket to assess their understanding.
- Example Exit Ticket Problem: Solve \(5x - 7 < 3\) and graph the solution on a number line.
**Assessment:**
- Participation in class discussions and guided practice.
- Accuracy and completeness of the independent practice worksheet.
- Exit ticket solution to assess individual student understanding.
**Homework:**
- Assign a set of inequalities for students to solve and graph at home. Provide a mix of simple and slightly more challenging problems to reinforce the day's lesson.
**Differentiation:**
- **For Advanced Students:** Provide more complex inequalities that may involve absolute values or fractions.
- **For Struggling Students:** Provide additional guided examples and one-on-one support as needed.
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The lesson plan aims to build a strong foundation in understanding and solving inequalities in one variable while relating the concept to real-life scenarios to enhance student engagement and comprehension.