Lesson Plan | Active Learning | Angle 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 - 10 minutes)

The objectives stage is crucial for establishing the learning goals that will guide the lesson. By clearly defining what is expected to be achieved, students can better direct their efforts towards practical activities. This section also serves to align expectations and ensure that all participants understand the core concepts of angle classification in geometric figures, providing a solid foundation for subsequent exercises.

Main Objectives:

1. Empower students to classify angles as acute, obtuse, and right in geometric figures such as triangles, squares, and rectangles.

2. Develop students' ability to count and identify the number of angles of each type in different geometric figures.

Side Objectives:

1. Encourage collaboration and communication among students during practical activities.

Introduction

Duration: (15 - 20 minutes)

The introduction serves to engage students and review key concepts they have studied previously. The proposed problem situations encourage students to apply knowledge in a practical and contextualized way, preparing them for more complex activities during the lesson. Contextualizing the theme with real-world examples helps to show the relevance of angles in everyday and professional situations, increasing students' interest and motivation.

Problem-Based Situations

1. Imagine you are planning a birthday party and want to decorate the venue with balloons in a special shape. How can right, obtuse, and acute angles help think about the arrangement of these balloons to create an interesting visual effect?

2. Consider a theme park that needs new structures to accommodate rides. Discuss how understanding angles can be crucial to ensuring the safety and stability of these structures.

Contextualization

Angle classification is not only a mathematical skill but also an essential tool in various everyday and professional areas, such as architecture, engineering, and design. For example, in architecture, the correct use of angles is fundamental to ensuring the structural integrity of buildings. Additionally, the history behind the nomenclature of angles (acute, obtuse, right) dates back to ancient Greece, where mathematicians studied their properties and their relationship with geometry and trigonometry.

Development

Duration: (75 - 85 minutes)

The Development stage is designed to allow students to practically and contextually apply the angle classification concepts they have studied previously. The proposed activities aim to consolidate knowledge through playful and challenging situations, promoting engagement, collaboration, and the development of critical skills such as logical reasoning, teamwork, and application of theory in practical situations. Each activity is designed to be self-contained and sufficiently detailed to guide both students and teachers, ensuring that class time is productive and educational.

Activity Suggestions

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

Activity 1 - Mystery in the Angles of the School

> Duration: (60 - 70 minutes)

- Objective: Practice angle classification and its application in practical situations, developing collaboration and logical reasoning skills.

- Description: Students become mathematical detectives who must solve a mystery at school using their knowledge of angle classification. They will receive a map of the school with marked locations and clues indicating where valuable objects are hidden. Each location on the map contains a geometric figure with various angles, and students need to identify and classify the angles to progress in the game and discover the treasure's location.

- Instructions:

• Divide the class into groups of up to 5 students.

• Distribute the school maps to each group along with the clues.

• Explain that they must use a protractor to measure and classify the angles as acute, obtuse, or right.

• Each correctly classified angle will give the group a new clue.

• The first group to solve all the angles and find the treasure wins.

Activity 2 - Angle Builders

> Duration: (60 - 70 minutes)

- Objective: Understand the importance of angles in construction and engineering, and improve teamwork skills and critical thinking.

- Description: In this activity, students act as engineers who must design a new structure for a theme park. They will receive different tasks that involve creating specific angles (acute, obtuse, right) using construction materials like popsicle sticks and glue. The challenge is to build the structure so that all angles are correctly positioned and can support the weight of small objects.

- Instructions:

• Organize students into groups of up to 5.

• Provide each group with popsicle sticks, glue, and a basic structure design.

• Each group must follow the design and construct the required angles.

• At the end, test the stability of the structure and the accuracy of the constructed angles.

• Discuss with the class the difficulties encountered and how angles influenced the construction.

Activity 3 - Geometric Chefs

> Duration: (60 - 70 minutes)

- Objective: Apply knowledge of angles creatively and practically, promoting understanding of theory through a playful and visual activity.

- Description: Students turn into chefs and must 'cook' delicious geometric dishes that are only possible with the correct use of angles. Each group receives a 'recipe' that includes angle measurements for cutting ingredients (colored paper) and assembling the dish (a mural where the 'dishes' must fit perfectly). The objective is to create the most beautiful and well-assembled dishes using the correct angles.

- Instructions:

• Divide students into groups of up to 5.

• Give each group a recipe that includes angle measurements for cutting and assembling the 'ingredients.'

• Provide materials (colored paper, scissors, glue).

• Students must follow the angle measurements to cut and assemble the 'dishes.'

• At the end, each group presents their 'dish' and explains how they used the angles.

Feedback

Duration: (10 - 15 minutes)

The purpose of this feedback stage is to allow students to articulate what they learned and reflect on the practical application of angle classification concepts. The group discussion helps consolidate knowledge, allowing students to share strategies and learnings, as well as hear different perspectives from their peers. This moment also serves for the teacher to evaluate students' understanding and clarify any remaining doubts, ensuring that the learning objectives have been reached.

Group Discussion

After the activities, organize a group discussion with all students. Start the conversation by recalling the lesson objectives and asking each group to share their discoveries and solutions. Use the following questions as a guide for the discussion: 1) What were the biggest challenges in classifying angles, and how did you overcome them? 2) How can angle classification be useful in everyday situations? 3) What mathematical skills do you think you developed most during the activities?

Key Questions

1. How can understanding the different types of angles help in everyday activities like measuring and cutting materials?

2. What is the importance of correctly classifying angles when building structures or solving geometry problems?

3. How do angles influence the aesthetics and functionality of engineering and architecture projects?

Conclusion

Duration: (5 - 10 minutes)

The Conclusion stage serves to consolidate learning and reinforce the connection between theory and practice. Recapping the main points helps ensure that students have understood the concepts discussed and can apply them in future situations. Moreover, highlighting the relevance of angles in everyday life motivates students to value and continue exploring the subject, establishing a bridge between the knowledge acquired in class and its applications beyond the school walls.

Summary

To conclude, let us revisit the key concepts discussed today regarding angle classification. Students learned to identify and classify angles as acute, obtuse, and right in different geometric figures, as well as develop the ability to count the number of angles of each type in a figure. These concepts were explored through practical and playful activities that helped solidify learning.

Theory Connection

Today's lesson clearly demonstrated how the theory of angles in geometry connects with practical applications in everyday life and professions such as architecture and engineering. Activities like 'Mystery in the Angles of the School' and 'Angle Builders' showed students how the classification and correct application of angles are essential in various situations, from assembling structures to designing spaces.

Closing

Understanding angles is fundamental not only for academic success in mathematics but also for solving everyday problems. Knowing how to identify and classify angles helps make more informed decisions in situations that require precision and planning, reinforcing the importance of studying geometry in our lives.