Lesson Plan | Technical Methodology | Bisector and Perpendicular Bisector

Objectives

Duration: 10 - 15 minutes

This stage aims to establish a solid foundation on the concepts of bisector and midpoint, highlighting their importance both in academic contexts and in practical applications in the job market. The development of practical skills and the ability to identify these elements in figures are essential for preparing students for future challenges, both in advanced studies and technical careers.

Main Objectives

1. Understand the concept of bisector and midpoint as geometric places.

2. Identify the midpoint and the bisector in different geometric figures.

Side Objectives

1. Understand the practical application of these concepts in real situations and in the job market.

Introduction

Duration: 10 - 15 minutes

This initial stage aims to capture students' interest by introducing them to the concepts of bisector and midpoint in a contextualized and practical way. By connecting the content with real applications and the job market, students will perceive the relevance of the topic and be more engaged for the subsequent activities.

Contextualization

The bisector and the midpoint are fundamental elements in geometry, present in various everyday situations. For example, when building a road that divides two cities equidistantly or creating a symmetrical design in a piece of art, these concepts are crucial. Understanding these elements helps solve practical problems and facilitates the visualization and construction of balanced geometric shapes.

Curiosities and Market Connection

The bisector is often used in civil engineering to plan constructions that require precise divisions, such as bridges and tunnels. The midpoint is essential in urban planning projects, where it is necessary to determine equidistant points between two locations, such as the installation of communication towers. In graphic design, these concepts assist in the creation of logos and symmetrical layouts. Interestingly, the midpoint also has applications in navigation, helping to determine equidistant routes between two points.

Initial Activity

Design a short video (2-3 minutes) showing practical examples of bisector and midpoint in different contexts, such as cities divided by roads or symmetrical logos. After the video, ask a provocative question: 'How do you think these concepts can be used in future technical professions?'

Development

Duration: 55 - 60 minutes

This stage aims to deepen students' understanding of bisector and midpoint through practical and reflective activities that connect theory and practice. By the end of this stage, students should be able to identify and apply these concepts in different contexts, developing planning skills, spatial visualization, and problem-solving abilities.

Covered Topics

1. Definition of Bisector
2. Definition of Midpoint
3. Practical Applications of the Bisector
4. Practical Applications of the Midpoint
5. Identification of Bisector and Midpoint in geometric figures

Reflections on the Theme

Guide students to reflect on how understanding the bisector and midpoint can influence the resolution of practical problems in everyday life, such as in engineering, architecture, and design projects. Encourage them to think about the importance of these concepts in creating balanced and symmetrical structures and in determining equidistant points in various situations.

Mini Challenge

Building with Bisector and Midpoint

Students will be divided into groups and provided with materials such as graph paper, rulers, compasses, and pencils. Each group will have the task of creating a simple project of an 'Ideal City', using the concepts of bisector and midpoint to plan the location of streets, squares, and buildings in a balanced and functional manner.

Instructions

1. Divide the class into groups of 4 to 5 students.
2. Distribute materials (graph paper, rulers, compasses, pencils).
3. Explain that each group must create a project of an 'Ideal City', using bisectors to plan symmetrical divisions and midpoints to determine equidistant points.
4. Guide students to first draw the main avenues using midpoints, ensuring that the main structures are equidistant.
5. Then, ask them to use bisectors to divide the blocks symmetrically, facilitating the organization of residential, commercial, and leisure areas.
6. During the activity, circulate around the room to offer support and answer questions.
7. At the end, each group should present their project and explain how they used the concepts of bisector and midpoint in their planning.

Objective: Apply the concepts of bisector and midpoint in a practical context, developing skills in planning and spatial visualization, as well as encouraging teamwork and communication.

Duration: 35 - 40 minutes

Evaluation Exercises

1. Draw any triangle and trace the bisector of one of its angles. Check if the segments created by the bisector are congruent.
2. On a sheet of paper, draw two points A and B. Trace the midpoint of segment AB and check if all points on the midpoint are equidistant from A and B.
3. Identify the bisector and the midpoint in geometric figures provided by the teacher, such as triangles and squares. Explain how you arrived at this conclusion.

Conclusion

Duration: 10 - 15 minutes

The purpose of this stage is to consolidate students' learning, ensuring that they fully understand the concepts of bisector and midpoint and their practical applications. Through recap, discussion, and reflection, students will internalize the content and recognize its importance in both academic contexts and the job market.

Discussion

Facilitate a discussion among students about how understanding the concepts of bisector and midpoint can be applied in different contexts, both academic and professional. Ask students how they felt while doing the practical activity and what challenges they faced. Encourage them to reflect on the importance of these skills in the job market and in solving everyday problems.

Summary

Summarize the main points addressed during the lesson, highlighting the definitions of bisector and midpoint as geometric places. Reinforce how these concepts were identified and applied in geometric figures and in the project of the 'Ideal City'.

Closing

Explain that the lesson connected theory and practice by showing real applications of the concepts of bisector and midpoint. Highlight the relevance of these concepts to various fields, such as engineering, architecture, graphic design, and urban planning. Conclude by emphasizing the importance of continuous learning and applying knowledge in practical situations.