Contextualization

The theme of this project is the matrix and its classifications. Matrices are a mathematical structure formed by elements arranged in rows and columns. The elements of a matrix can be any type of mathematical value such as real numbers, complex numbers, and even functions. Matrices are very useful for solving systems of linear equations, but they can also be used in various other applications, such as in computing, physics, economics, among others.

In mathematics, matrices are classified according to their properties. For example, a square matrix is a matrix that has the same number of rows and columns. A diagonal matrix is a square matrix in which all elements outside the main diagonal are zeros. An identity matrix is a diagonal matrix that has all elements of the main diagonal equal to 1. In addition to these, there are many other classifications of matrices that are fundamental for their manipulation and application.

The relevance of matrices in contemporary society is enormous. In computer science, matrices are used to store and process data, especially in applications involving graphics and images. In physics, matrices are used to describe physical systems and to solve differential equations. In economics, matrices are used to model and analyze economic systems. Therefore, understanding matrices and knowing how to manipulate them is an essential skill for anyone working with science, technology, engineering, or mathematics.

To delve deeper into the subject and prepare for the project, we suggest the following resources:

1. Basic Mathematics: Matrices: A simple and straight to the point text that explains what matrices are and how they are used in mathematics.
2. Matrices in Mathematics from educação: A more detailed explanation of matrices and their applications.
3. Video: Matrices - Mundo Educação: A video that teaches, in a playful way and with practical examples, the basic concepts about matrices.

Remember that the objective of this project is not only to understand what matrices are and how to classify them, but also to learn to work in a team, manage your time, and communicate effectively.

Practical Activity: Classification of Matrices

Activity Title: Matrices in Game

Project Objective

The activity aims to understand the different classifications of matrices and their applications in daily life through a playful and collaborative dynamics. At the same time, it will focus on the development of socio-emotional skills such as communication, teamwork, and time management.

Detailed Project Description

Students will be divided into groups of 3 to 5 people, and each group is responsible for creating a board game based on matrices. The game should be planned in a way that involves the classifications of matrices and their properties. It is encouraged that groups use their creativity to create interesting and fun games.

Required Materials

• Cardboard or card paper for the base of the board.
• Paper, colored pens, pencils, eraser, glue, and scissors for creating the board and pieces.
• Books or online resources about matrices for theoretical foundation.

Detailed Step-by-Step for Activity Execution

1. Matrix Study (1 hour): Each group should start by studying matrices and their classifications. They should research the topic, discuss among themselves, and take notes on the main points.

2. Game Planning (1 hour): Next, the group should plan the board game, defining rules that involve the use of matrices and their classifications. The game rules should be clear, and all group members should agree on them.

3. Board Creation (1~2 hours): After planning the game, the group should then create the board using the available materials. They should draw the board on cardboard or card paper, make the pieces, and write the rules.

4. Game Testing (30 minutes): After creating the game, the group should test it by playing among themselves to check if the rules are clear and if the game really involves knowledge about matrices. If not, they should make the necessary corrections.

5. Preparation for Presentation (30 minutes): Finally, the group should prepare a presentation about the game for the class. The presentation should explain the game rules and how it relates to matrices and their classifications.

Project Deliverables

At the end of the project, each group must deliver the board game they created and a report. The report should follow the structure of Introduction, Development, Conclusion, and Bibliography. In the Introduction, students should define the concept of matrix, the type of matrix used in the game, and its practical application. In the Development, they should explain about the game, the creation of the game, the rules, and how matrices were applied in the game. The Conclusion should contain reflections on what was learned during the project and the socio-emotional skills developed. The Bibliography should contain all the sources on which the group relied for the project execution.