Lesson Plan | Active Learning | Polygons: Classification

Assumptions: This Active Lesson Plan assumes: a 100-minute class, prior student study with both the Book and the start of Project development, and that only one activity (among the three suggested) will be chosen to be conducted during the class, as each activity is designed to take up a significant portion of the available time.

Objectives

Duration: (5 minutes)

This stage of the lesson plan is crucial for establishing a solid theoretical understanding of polygons. By clearly defining the objectives, students will be able to focus on specific aspects during practical activities in the classroom, thus maximizing learning efficiency. The clarity of the objectives also serves to guide the teacher in selecting appropriate teaching methods to achieve the established goals.

Main Objectives:

1. Enable students to recognize and define the concept of polygons, identifying their main characteristics.

2. Develop the skill of classifying polygons, emphasizing the correct counting of sides and the distinction between regular and irregular polygons.

Side Objectives:

1. Stimulate critical thinking and the analytical capacity of students by exploring practical examples of polygons in different contexts.

Introduction

Duration: (25 - 30 minutes)

This stage of the lesson plan is designed to engage students with the content they studied at home, using problem situations that stimulate critical thinking and the practical application of knowledge. Contextualization aims to show the relevance of polygons in the real world, increasing interest and awareness of the importance of mathematics in everyday and professional situations.

Problem-Based Situations

1. Ask students to analyze the floor plan of a house, highlighting the shapes that make up the rooms. Then, question them about which of these shapes are polygons and ask them to classify them.

2. Show images of traffic signs that have geometric shapes. Challenge students to identify and classify these shapes as polygons, discussing their characteristics and whether they are regular or irregular.

Contextualization

Contextualize the study of polygons with practical applications in everyday life, such as the use of polygons in architecture and object design. For example, discuss how the choice between a regular and irregular polygon can affect the aesthetics and functionality of an object. Additionally, briefly comment on the history of polygons, from Greek mathematicians to modern applications in technology and art.

Development

Duration: (70 - 75 minutes)

The purpose of this stage is to consolidate previous learning about polygons through practical and playful activities that allow students to apply and deepen their knowledge interactively and collaboratively. The proposed activities aim not only to reinforce theoretical concepts but also to develop teamwork skills, critical thinking, and problem-solving, which are essential for learning mathematics.

Activity Suggestions

It is recommended to carry out only one of the suggested activities

Activity 1 - Polygon Challenge on Geometric Planet

> Duration: (60 - 70 minutes)

- Objective: Reinforce the ability to identify and classify polygons, encouraging cooperation and effective communication among group members.

- Description: Students are divided into groups of up to five people, and each group is designated as a team of space explorers on a fictitious planet. On this planet, they must map different regions that have geometric shapes represented by polygons. Each team receives a partial map that contains sectors with polygons of various configurations, sizes, and regularities. The challenge is to identify, classify, and describe these polygons, creating an exploration report to be presented at the end of the class.

- Instructions:

• Students must analyze the provided map and identify the polygons present in each sector.

• After identification, they must classify the polygons based on the number of sides and regularity.

• Each group must prepare a report that includes a description of each found polygon, its classification, and a representative drawing.

• At the end of the activity, each group will present their report to the class, explaining the classification process and highlighting any challenges encountered during the exploration.

Activity 2 - Polygon Builders

> Duration: (60 - 70 minutes)

- Objective: Explore the properties of polygons in a practical and manipulative manner, facilitating the understanding of the differences between regular and irregular polygons.

- Description: In this activity, students, organized in groups, receive construction kits that contain ice cream sticks and modeling clay. Each group must use these materials to build different polygons, exploring their characteristics of sides and angles. The challenge is to construct both regular and irregular polygons and then classify them and discuss the differences between them.

- Instructions:

• The groups receive the kits and are instructed to build polygons using the materials.

• After construction, each group must classify the polygons as regular or irregular.

• Students must measure and record the internal angles of each constructed polygon.

• In the end, each group presents their polygons and discusses the observed characteristics and the differences between regular and irregular polygons.

Activity 3 - Detectives of Missing Polygons

> Duration: (60 - 70 minutes)

- Objective: Develop deduction and logical reasoning skills by inferring about polygons based on their properties, as well as reinforcing knowledge about polygon classification.

- Description: Students, in groups, receive envelopes with several cards that contain descriptions of different polygons but no images. The challenge is to use the provided definitions to draw the corresponding polygons on graph paper, classify them, and then try to guess which polygons are missing based on the mathematical properties of the polygons.

- Instructions:

• Each group receives an envelope with cards and a notebook of graph paper.

• Students must read the descriptions on the cards and draw the polygons they believe are described.

• After drawing, they must classify the polygons according to the described properties.

• Finally, they must try to guess which polygons are missing based on the properties and the number of sides already identified.

Feedback

Duration: (10 - 15 minutes)

The purpose of this stage of the lesson plan is to allow students to reflect on and articulate what they have learned, consolidating the acquired knowledge and developing communication and argumentation skills. The group discussion also serves for students to learn from each other, sharing different perspectives and approaches that enrich the collective understanding of the topic.

Group Discussion

Start the group discussion by inviting each team to share their discoveries and challenges faced during the activities. Suggest they begin by describing what surprised them most when exploring polygons and how they applied prior knowledge practically. Encourage them to discuss the strategies they used to classify the polygons and any mistakes that may have arisen, emphasizing the learning from missteps.

Key Questions

1. What were the main criteria you used to classify polygons as regular or irregular?

2. How did the practical activities help consolidate theoretical knowledge about polygons?

3. Was there any polygon that presented a greater challenge in identification or classification? How was that overcome?

Conclusion

Duration: (5 - 10 minutes)

The purpose of the conclusion stage is to consolidate learning, ensuring that students have completely understood the concepts of polygons and their classification. Additionally, it aims to reinforce the connection between theory and practice, demonstrating the applicability of mathematical knowledge in real situations and highlighting the importance of the content studied. This moment also serves to clarify any remaining doubts and ensure that students leave the class with a clear and robust understanding of the topics covered.

Summary

In this final stage of the lesson, the teacher should provide a comprehensive summary of the content covered about polygons, reiterating the definitions, characteristics, and classifications studied. It is important to highlight the main points discussed, such as the number of sides and regularity, as well as practical examples that were explored in the activities.

Theory Connection

Explain how practical activities, such as the 'Polygon Challenge on Geometric Planet' and 'Polygon Builders', served to connect theory with practice, allowing students to directly apply theoretical knowledge in real and creative situations. Emphasize how this approach helps solidify learning and understanding of mathematical content.

Closing

Finally, highlight the importance of polygons in everyday life, such as in architecture, art, and design, reinforcing the direct impact that studies of geometric figures have in various practical applications. This moment also serves to motivate students by showing the relevance of what they have learned beyond the classroom.