Lesson Plan | Active Learning | Angle Measurement

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 objective-setting stage is crucial to guide the focus of students and the teacher during the class. By clearly establishing what is expected to be achieved, students can better prepare and engage in the proposed activities, while the teacher can ensure that all activities and explanations are aligned with the desired learning outcomes. This stage also serves to ensure that students have understood the basic concepts of angles before starting practical applications in class, thereby facilitating the use of the class.

Main Objectives:

1. Empower students to recognize and define an angle, identifying its characteristics and main elements.

2. Instruct students on the use and importance of the protractor in measuring angles.

3. Develop practical skills in students to measure and construct angles using protractors, both in physical materials and images.

Side Objectives:

1. Promote collaboration and teamwork among students during practical activities.
2. Stimulate creativity and logical reasoning through manipulating angles in different contexts.

Introduction

Duration: (20 - 25 minutes)

The introduction serves to engage students with situations that stimulate practical application and a deep understanding of the concepts studied at home, through problem situations that challenge their reasoning and knowledge application abilities. Additionally, by contextualizing the importance of angles in everyday life and history, students perceive the relevance of what they have learned, thus increasing their interest and motivation for practical activities in class.

Problem-Based Situations

1. Imagine you are an architect and need to design a new bridge that will connect to two banks of a river. How would you use the concepts of angles to ensure that the structure is safe and stable?

2. Think of a computer game where characters must move through a maze to reach a goal. How could the game's programming use the measurement of angles to define the characters' movements?

Contextualization

Angles are present in many aspects of daily life, from the construction of buildings to the design of objects like tables and chairs. Furthermore, they are essential in activities like navigation, where they help determine the correct direction. Interestingly, measuring angles is a skill that has been utilized throughout history, from the ancient Egyptians to the digital technology era. Knowing and understanding angles allows students not only to better understand the world around them but also to apply these concepts in practical situations and in their future careers.

Development

Duration: (65 - 75 minutes)

The development stage is designed to allow students to practically and playfully apply the concepts of angle measurement that they studied previously. Through group activities, students are encouraged to work collaboratively, enhancing their problem-solving and measurement skills. Each activity is carefully crafted to integrate theoretical knowledge with practice, ensuring effective and engaging learning.

Activity Suggestions

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

Activity 1 - Angle Explorers

> Duration: (60 - 70 minutes)

- Objective: Apply concepts of angle measurement and internal angle calculation to solve a geographic location problem in a playful and collaborative context.

- Description: In this activity, students will be divided into groups of up to 5 people. Each group will receive a printed treasure map containing a series of points marked with coordinates. Using a protractor, they must trace and measure the angles between points to discover the exact location of the treasure, marked by an 'X' on the map.

- Instructions:

• Form groups of no more than 5 students.

• Distribute the maps and protractors to each group.

• Guide students to start by measuring the angle between North and the first point marked on the map.

• Ask them to use the internal angle sum formula to calculate the next point to be measured.

• Each group should record the measurements and calculations in a notebook.

• The groups that come closest to the treasure's correct location, based on the measured angles, will win a symbolic prize.

Activity 2 - City Builders

> Duration: (60 - 70 minutes)

- Objective: Develop measurement and angle application skills in an urban planning context, encouraging creativity and critical thinking.

- Description: Students, organized into groups, will receive a floor plan of a fictional city. The task will be to use a protractor to draw and calculate the angles of various intersections of streets, parks, and buildings. They will also need to propose improvements to the city's circulation based on the measurements made.

- Instructions:

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

• Give each group the city's floor plan and a protractor.

• Instruct students to choose at least 5 intersections where they need to calculate and draw the correct angles of streets and buildings.

• Ask them to propose improvements to urban circulation based on the measurements made.

• Each group should present their changes and justify their choices to the class.

Activity 3 - Angle Artists

> Duration: (60 - 70 minutes)

- Objective: Use the protractor creatively to demonstrate understanding of angle concepts and their application in an artistic context.

- Description: In this activity, students will use a protractor to create an abstract artwork that must contain specific angles. They will have to measure and draw various angles on a large sheet of paper, using different colors to represent different angle values.

- Instructions:

• Group students into teams of up to 5 participants.

• Provide each team with a protractor, a large sheet of paper, and various colored markers.

• Set a list of angles that students must create and represent in their artwork.

• Students must measure and draw the specified angles, using colors to differentiate the values.

• At the end, each group presents their artwork and explains the relationship of angles to the artistic composition.

Feedback

Duration: (15 - 20 minutes)

The purpose of this stage is to allow students to articulate what they have learned and reflect on the learning process. The group discussion helps consolidate knowledge, allowing students to see different perspectives and approaches. Moreover, answering key questions promotes critical thinking about the application of angle concepts, ensuring a deeper and more lasting understanding of the topics covered.

Group Discussion

At the end of the activities, gather all students for a group discussion. Start this discussion by recalling the objectives of the lesson and asking each group to share their discoveries and challenges faced during the activities. Encourage students to discuss how the concepts of angles could be applied in the various proposed situations and what they learned new about measuring and using protractors.

Key Questions

1. What were the main challenges when using the protractor to measure and draw angles in the activities?

2. How can the ability to measure and understand angles be useful in other areas of knowledge or in everyday life?

3. Was there any surprise or interesting discovery when applying the concepts of angles in the practical activities?

Conclusion

Duration: (5 - 10 minutes)

The purpose of this Conclusion stage is to consolidate learning, connecting practical activities to the theory learned and, ultimately, highlighting the importance of angles in daily life. This moment not only reinforces students’ understanding of the topic but also paves the way for them to perceive the applicability of the concepts learned in their lives, reinforcing the relevance of what was studied and applied in class.

Summary

To conclude, the teacher should summarize and recap the concepts of angles covered, highlighting the main elements discussed such as types of angles, the use of the protractor, and the practical application of the concepts in different contexts. This moment serves to consolidate learning and ensure that all students have understood the essential concepts.

Theory Connection

During the lesson, students were able to experience the connection between the theory studied at home and the practice conducted in class. Proposed activities, such as the Angle Explorers game and City Builders, allowed students to directly apply theoretical knowledge in practical and playful situations, highlighting the importance of angles in various everyday applications and in solving complex problems.

Closing

Finally, it is crucial to highlight the relevance of angles in the real world. From civil construction to computer programming and even in everyday activities like cooking, understanding and knowing how to measure angles is essential. This understanding not only enriches the students' mathematical comprehension but also prepares them to apply these concepts in their future careers and lives.