Context

Mathematics is a powerful tool to understand the world around us, and one of its branches of great importance is Geometry. Geometry is the study of shapes and their properties, and one of the most fundamental elements of geometry is the 'triangle'.

Triangles are flat figures bounded by three straight lines that intersect at three non-collinear points. Among the most important properties of the triangle is its classification by its angles: Acute-angled (all internal angles less than 90º), Right-angled (has an internal angle of 90º), and Obtuse-angled (has an internal angle greater than 90º).

Now, you might be wondering: 'Why do we need to learn about triangles?'.

Importance of Triangles

Triangles are everywhere, believe it or not! Whether in architecture, art, nature, or science. Triangles contribute to the beauty and stability of buildings and bridges (think of the famous pyramids of Egypt). Artists use triangles to guide the composition of their works. Moreover, triangles are the basis for the study of trigonometry, which has applications in various areas such as physics, engineering, computer science, and even in astronomical studies!

Therefore, understanding the angular classification of triangles, in addition to enhancing logical and critical thinking, can open doors to the understanding of a wide range of phenomena and practical applications.

Practical Activity: 'Triangle of Truths'

Project Objective

To deepen the understanding of the angular classification of triangles through the creation of a group game that promotes investigation and discussion on the subject.

Detailed Project Description

Groups will be responsible for creating a game board, whose central theme is the angular classification of triangles. The game should contain questions related to the theme, cards, and rules defined by the group. The goal is to cross the board by correctly answering questions about the angular classification of triangles.

Required Materials

1. Cardboard for creating the game board
2. Colored markers
3. Papers for creating question and answer cards
4. Die
5. Player pieces (can be small objects or pieces from other games)

Step-by-Step Activity Execution

1. Organize into groups of 3 to 5 students.
2. Based on the knowledge acquired about the angular classification of triangles, the group should create a game. Think about the rules, dynamics, and how the theme will be approached.
3. Create the game board. It should be attractive and related to the theme of triangles.
4. Create cards with questions and answers about the angular classification of triangles. Remember, the questions should be challenging and the answers correct.
5. Decide on the pieces that will be used by the players to cross the board.
6. Develop the game rules, making it clear how progression on the board occurs, how the cards are used, and how the game is won.
7. Test the game, play among yourselves to see if the rules are clear and if the question difficulty level is appropriate.
8. Present the game to the class, explaining the rules, the dynamics, and how the angular classification of triangles was included in the game.

Project Deliverables

Each group must deliver the created game and a written document with the following topics:

1. Introduction: Contextualization of the importance of triangles and their angular classification, and the description of the project's objective and its relevance in learning.
2. Development:
   • Game Description: Describe in detail the game created, including rules, dynamics, and how the angular classification of triangles was included.
   • Methodology: Justify the choices made during the game development, and how these choices contribute to the understanding of the angular classification of triangles.
   • Results: Comment on the gaming experience and your observations.
3. Conclusion: Reflection on what was learned during the project development and playing, what were the challenges, discoveries, and how this contributed to a better understanding of the angular classification of triangles.
4. Bibliography: List the materials consulted during the project development.