**Lesson Plan: Technical Drawing – Special Curves II**
---
**Grade:** Senior Secondary 1
**Subject:** Technical Drawing
**Duration:** 60 minutes
---
**Objective:**
1. Students will understand and identify different types of special curves including ellipses, parabolas, and hyperbolas.
2. Students will develop skills in accurately constructing these curves using technical drawing techniques.
3. Students will appreciate the applications of these curves in various engineering and design contexts.
---
**Materials Needed:**
- Drawing paper (A3 or A4 size)
- Set squares
- Compasses
- Pencils (HB recommended)
- Erasers
- Ruler
- French Curves
- Chalk/Whiteboard markers
- Whiteboard/Chalkboard
- Protractor
---
**Lesson Outline:**
### Introduction (10 Minutes)
1. **Greeting and Attendance:**
- Welcome students and take attendance.
2. **Recap of Special Curves I:**
- Briefly discuss the concepts learned in the previous lesson on basic special curves. Ask a few questions to engage students in a recap.
3. **Introduction to Special Curves II:**
- Introduce today’s topic: Special Curves II, focusing on ellipses, parabolas, and hyperbolas.
- Highlight their importance and applications in engineering, architecture, and various design fields.
### Instruction (30 Minutes)
1. **Ellipses (10 Minutes):**
- **Definition and Properties:**
- Define an ellipse and discuss its properties.
- **Construction:**
- Demonstrate the "Rectangle Method" for drawing an ellipse using a whiteboard/chalkboard.
- Draw a rectangle.
- Mark points along the perimeter at equal intervals.
- Connect the points to form an ellipse.
- **Student Practice:**
- Have students try drawing ellipses using the rectangle method on their drawing papers.
2. **Parabolas (10 Minutes):**
- **Definition and Properties:**
- Define a parabola and its properties, including the focus, directrix, and axis of symmetry.
- **Construction:**
- Demonstrate construction using the "Offset Method."
- Draw a guide rectangle.
- Mark points and calculate offset distances.
- Connect these points smoothly.
- **Student Practice:**
- Students practice drawing parabolas using this method on their drawing papers.
3. **Hyperbolas (10 Minutes):**
- **Definition and Properties:**
- Define a hyperbola and discuss its properties.
- **Construction:**
- Demonstrate the "Rectangle Method" similar to the ellipse but modifying the points' offsets accordingly.
- **Student Practice:**
- Students practice constructing hyperbolas using the demonstrated method.
### Activity (15 Minutes)
- **Group Work:**
- Divide the class into small groups.
- Each group will choose one special curve and draw a detailed, labeled version of it.
- Encourage groups to review each other’s work and provide constructive feedback.
### Conclusion (5 Minutes)
1. **Review:**
- Summarize the key points covered in the lesson.
- Ask a few students to share their drawings and explain their construction process.
2. **Homework Assignment:**
- Assign students to find real-world examples of ellipses, parabolas, and hyperbolas (e.g., architectural designs, bridges).
- Ask students to bring these examples to the next class for discussion.
3. **Q&A:**
- Open the floor for any questions regarding the lesson.
4. **Closing:**
- Thank students for their participation and remind them of the next class topic.
---
**Assessment:**
- Observe students’ practical work to ensure understanding and correct application of techniques.
- Collect and review students’ homework for real-world example identification.
---
**Differentiation:**
- Provide additional support and one-on-one attention for students who may struggle with the geometric constructions.
- Offer advanced problems and additional resources for students who grasp the concepts quickly to further challenge their skills.
---
**Note:**
- Ensure that all students have access to the necessary drawing tools and materials.
- Encourage a supportive learning environment where students feel comfortable asking questions and helping each other.