Lesson Plan | Technical Methodology | Circles: Introduction

Objectives

Duration: 10 - 15 minutes

The purpose of this stage is to provide a clear understanding of the fundamental concepts related to the circle, preparing students for subsequent practical activities. Developing these skills is crucial as they have direct applications in various fields of the job market, such as engineering, architecture, and design, where geometric precision is essential.

Main Objectives

1. Recognize what a circle is and its main components: radius, diameter, and chord.

2. Understand how to draw a circle using a compass.

Side Objectives

1. Develop practical skills in measurement and geometric drawing.
2. Promote the ability to solve applied mathematical problems.

Introduction

Duration: (15 - 20 minutes)

The purpose of this stage is to provide a clear understanding of the fundamental concepts related to the circle, preparing students for subsequent practical activities. Developing these skills is crucial as they have direct applications in various fields of the job market, such as engineering, architecture, and design, where geometric precision is essential.

Contextualization

Contextualization: The circle is present in many aspects of our daily lives. From the steering wheel of a car, to the wheels of bicycles, and the plates we eat from, all these objects have one thing in common: the circular shape. Understanding how to draw and measure circles is fundamental not only for mathematics but also for various professions that require geometric precision, such as engineering and architecture.

Curiosities and Market Connection

Curiosities and Market Connection: Did you know that the concept of a circle is used in engineering to design bridges and buildings, ensuring they are safe and stable? Moreover, graphic designers often utilize circles in their projects to create logos and other visual elements. Even in the automotive industry, the circle is essential for the design of mechanical parts and vehicle aerodynamics.

Initial Activity

Initial Activity: To spark students' interest, show a short video (3-4 minutes) showcasing examples of circles in everyday objects and their applications in engineering and design. After the video, ask the following provocative question: “How do you think the world would be without the circular shape?” Have students discuss in pairs for 2-3 minutes and then share their ideas with the class.

Development

Duration: 45 - 50 minutes

The purpose of this stage is to consolidate theoretical knowledge about circles through practical activities that stimulate creativity and collaboration, as well as to reinforce the importance of geometric precision in various professions. Students will have the opportunity to apply what they have learned in a real context and evaluate their understanding through fixation exercises.

Covered Topics

1. Definition of a circle
2. Components of the circle: radius, diameter, and chord
3. How to use a compass to draw a circle

Reflections on the Theme

Guide students to reflect on how precision is essential in various professional areas. Ask: How can accuracy in drawing a circle impact the quality of an engineering or design project? Facilitate a group discussion so that students can share their perceptions and connect mathematical content with practical applications in the job market.

Mini Challenge

Maker Challenge: Building a Circle Clock

Students will build a cardboard clock where the face is a circle. They will need to draw the circle with a compass, mark the numbers, and assemble the clock.

Instructions

1. Divide the class into groups of 3-4 students.
2. Distribute materials: cardboard, compasses, rulers, pencils, scissors, glue, and markers.
3. Instruct the groups to draw a circle with a diameter of 15 cm on the cardboard using the compass.
4. Mark the center of the circle and draw the diameter.
5. Divide the circle into 12 equal parts to mark the hours of the clock.
6. Cut out the circle and assemble the clock, decorating it as they wish.
7. Each group should present their clock and explain the construction process and the importance of the circle in the clock's design.

Objective: Apply the concept of a circle in a practical and collaborative activity, promoting understanding of the components and the skill to draw circles with precision.

Duration: 35 - 40 minutes

Evaluation Exercises

1. Draw a circle with a radius of 5 cm. Mark the center, the radius, and the diameter.
2. Identify and draw a chord in a circle with a diameter of 10 cm.
3. Solve practical problems involving circles, such as calculating the circumference of a circle with a radius of 8 cm.

Conclusion

Duration: (10 - 15 minutes)

The purpose of this stage is to consolidate learning, ensuring that students understand the relevance of the circle both in theory and practice. This conclusion aims to encourage reflection on the activities performed and reinforce the connection between academic content and its practical applications in the job market.

Discussion

Promote a final discussion with the students about the topic of circles. Ask how they perceived the integration of theory and practice during the class. Encourage them to reflect on the maker challenge and the fixation exercises, and how these activities facilitated their understanding of the concepts. Also question about the practical applications that were mentioned and how they relate to the job market.

Summary

Summarize and recap the main content presented, such as the definition of a circle, its components (radius, diameter, and chord), and the use of a compass to draw circles. Reinforce the importance of each point discussed and how these concepts are applied in various professional fields.

Closing

Explain to the students how the class was designed to connect mathematical theory with practical activities and real applications. Highlight the importance of geometric precision in professions such as engineering and design, and how knowledge about circles can be useful in daily life. Close the class by thanking everyone for their participation and emphasizing the importance of continuing to explore and practice these concepts.