Lesson Plan for Senior Secondary 1 - Mathematics - Constructions

### Lesson Plan: Constructions **Grade Level:** Senior Secondary 1 **Subject:** Mathematics **Duration:** 60 minutes **Topic:** Constructions **Objectives:** 1. Students will understand the basic principles of geometric constructions. 2. Students will be able to use a compass and straightedge to construct geometric shapes. 3. Students will apply the concepts learned to solve construction-related problems. **Materials Needed:** - Compass - Straightedge (ruler without measurement markings) - Pencil - Protractor (for teacher’s demonstration only) - Graph paper or plain paper - Whiteboard and markers - Projector (optional for visual aids) --- ### Lesson Outline: #### Introduction (10 minutes) 1. **Greeting and Attendance:** Quick roll call and welcome. 2. **Review of Previous Lesson:** Briefly review any related geometry topics previously covered, such as basic properties of shapes and angles. 3. **Introduction to Constructions:** - Define geometric construction and its importance. - Explain the tools required: compass and straightedge. - Discuss historical context briefly (e.g., ancient Greek mathematicians like Euclid). #### Explanation and Demonstration (20 minutes) 1. **Basic Constructions:** - **Constructing a Perpendicular Bisector:** - Draw a segment AB. - Place the compass at point A, set the width to more than half of AB, and draw an arc above and below the segment. - Place the compass at point B with the same width and draw arcs that intersect the previous arcs. - Draw a straight line through the points of intersection. - **Constructing an Angle Bisector:** - Draw an angle ∠ABC. - Place the compass at the vertex B and draw an arc that intersects both sides of the angle. - Place the compass at each intersection point on the sides and draw arcs that intersect inside the angle. - Draw a straight line from B through the intersection point of the arcs inside the angle. 2. **Teacher’s Demonstration:** - Show how to use tools step-by-step on the board. - Optional: Use a projector to display a video or an animation of the construction process. #### Guided Practice (15 minutes) 1. **Class Activity:** - Distribute graph/plain paper and construction tools to students. - Give them specific tasks to perform in pairs: - Construct a perpendicular bisector of a given segment. - Construct the bisector of a given angle. 2. **Walk Around:** - Teacher moves around the classroom to provide assistance and ensure students are using their tools correctly. #### Independent Practice (10 minutes) 1. **Individual Exercises:** - Assign a short worksheet with simple construction tasks, such as: - Constructing an equilateral triangle using a given side. - Constructing a parallel line through a point. #### Conclusion (5 minutes) 1. **Review Key Points:** - Highlight the main steps in each type of construction completed. - Discuss the real-world importance and applications of geometric constructions. 2. **Assignment:** - Provide homework tasks involving more complex constructions to reinforce the lesson: - Constructing an angle of 60° using just a compass and straightedge. - Constructing a regular hexagon within a given circle. 3. **Q&A Session:** - Allow students to ask questions and clarify any doubts. 4. **Preview of Next Lesson:** - Briefly introduce the next topic to keep students engaged and curious. --- ### Assessment: - Observe students during the guided practice to assess their grasp of the concepts. - Evaluate completed in-class exercises for accuracy. - Review homework assignments for understanding and application of skills learned. --- ### Follow-Up: - Provide additional resources such as instructional videos or websites for further practice. - Hold a brief recap session on constructions before moving on to the next topic in the next class.