Contextualization

We are starting an exciting project that involves a central theme in mathematics: mathematical expressions. Mathematical expressions are symbolic combinations that represent a mathematical relationship or operation. They are concise and precise ways to describe mathematical relationships and are a fundamental component of mathematics, commonly used in all areas, from geometry to algebra.

To understand the importance of mathematical expressions, we need to comprehend their role as a bridge between the real world and the abstract universe of mathematics. They are the tools that allow us to describe everyday situations, problems, and natural phenomena in mathematical terms. Mathematical expressions, therefore, are the language that enables us to translate our world into mathematics and vice versa.

In this sense, learning to deal with mathematical expressions is essential because it allows us to develop our problem-solving skills, as well as enabling us to understand and manipulate the world more precisely and effectively. Moreover, mastering these tools is fundamental for the study of more advanced disciplines, such as Physics, Chemistry, Engineering, among others.

This project aims primarily at developing skills to solve mathematical expressions involving the four basic operations: addition, subtraction, multiplication, and division. Additionally, by working in groups, you will develop important skills such as time management, communication, problem-solving, creative thinking, and proactivity.

Below are some resources you can use to delve deeper into the topic and prepare for the project:

• Mathematics Zup - Numeric Expressions
• Mathematics Rio - Numeric Expressions
• Khan Academy - Algebraic Expressions and Adding Like Terms

We hope you enjoy this project and discover the beauty and power of mathematical expressions!

Practical Activity

Activity Title: "Expressing in Mathematics"

Project Objective

The objective of this project is to provide students with a practical and fun approach to the study of mathematical expressions. Through the creation of a mathematical board game, students will reinforce their skills in solving expressions involving the four basic operations: addition, subtraction, multiplication, and division, as well as develop socio-emotional skills such as teamwork and time management.

Detailed Project Description

Students, divided into groups of 3 to 5, will create a board game that uses mathematical expressions as challenges to be overcome by the players. The game can take various forms, such as a question and answer game, or a game where players advance on the board according to the results obtained when solving the expressions. The project will be carried out in four stages: Research, Creation, Testing, and Review.

Required Materials

• Cardboard paper
• Colored pens
• Ruler
• Scissors
• Dice (optional)

Detailed Step-by-Step for Activity Execution

1. Research (1-2 hours): Students should research various board games to inspire the creation of their own game. They can search on the internet, books, videos, etc. This stage should also include the study of mathematical expressions.

2. Creation (3-5 hours): Students will draw the board on cardboard paper, create the game rules, and develop the mathematical expressions that will be used in the game. The expressions should involve addition, subtraction, multiplication, and division.

3. Testing (1-2 hours): Students will play the game they created. Each group member should play the game at least once to identify possible flaws or improvements that can be made.

4. Review (1-2 hours): Based on the feedback from testing, students will make adjustments to the game, whether in the rules or in the mathematical expressions used, if necessary.

Project Delivery

At the end of the project, each group must deliver:

1. The created board game, with all rules and mathematical expressions used.
2. A written report on the project, including the following topics:
   • Introduction: Project contextualization, relevance of studying mathematical expressions, and work objective.
   • Development: Explanation of the theory of mathematical expressions, detailed description of the game creation (include photos, if possible), methodology used, and discussion of the results obtained.
   • Conclusion: Recap of the main points, lessons learned, and conclusions about the project.
   • Bibliography: References used during the project.

The project is intended to be carried out by groups of 3 to 5 students, and each student should dedicate between five to ten hours to complete the work. The project deadline is one month from the start date.