Contextualization

Introduction

First-degree equations are one of the first algebra concepts that students learn and one of the most important. They are formed by an equality that presents one or more first-degree unknowns. Mastery of this topic is essential for the study of other more advanced mathematical concepts.

A first-degree equation, also known as a linear equation, can be represented by the formula ax + b = 0, where 'x' is the variable, and 'a' and 'b' are real numbers, with 'a' being different from zero. Solving a first-degree equation is finding the value of the variable that makes the equation true.

The standard form of the first-degree equation allows us to understand various aspects, such as the slope and the point where the line intersects the y-axis on the Cartesian plane. Mathematics, although sometimes abstract, is a universal language used to describe natural phenomena, everyday problems, economics, among others.

Contextualization

First-degree equations are widely used in our daily lives, although we may not realize it. They are used to solve simple day-to-day problems, such as determining the amount of ingredients needed to double or halve a recipe.

In a broader context, first-degree equations are also used in various areas of knowledge, such as in physics, to describe the constant speed of a moving object; in economics, to calculate costs and revenues; in engineering, to calculate the structural resistance of buildings and bridges, among other applications.

Therefore, knowledge of first-degree equations is fundamental for basic education and necessary for the understanding of various professions and for solving everyday problems.

Practical Activity

Activity Title: Equations in Practice: From Conflicts to Solutions

Project Objective

The main objective of this activity is to allow students to understand the theory behind first-degree equations and to apply this knowledge to solve practical everyday problems. In addition, the project aims to develop socio-emotional skills such as teamwork, communication, time management, among others.

Detailed Project Description

Students will be divided into groups of 3 to 5 members and must develop a script for a 15 to 20-minute play. The script should be constructed in such a way that it represents everyday situations where first-degree equations are used to resolve conflicts.

The script can address various situations, such as splitting bills, planning trips, budget calculations, dispute resolutions, among others. The script should be creative and educational at the same time, in order to represent a real-life situation.

Additionally, each group must present the play to the class, portraying the characters and situations described in the script. The group must show how each equation is formed, the steps for its resolution, and its application in resolving the presented conflict.

Required Materials

• Paper and pen for script creation
• Materials for set design, costumes, and props
• Access to Google Docs for writing and sharing the final report

Step by Step

1. Group Formation: Form groups of 3 to 5 students.
2. Brief Recap: Review the content of first-degree equations and their applications in everyday life.
3. Script Creation: Each group must create a script where first-degree equations are used to resolve conflicts present in daily life.
4. Play Preparation: Students prepare the set, costumes, and all necessary props for the play.
5. Play Presentation: Each group will present the play to the class.
6. Report Writing: After the presentation, each group must produce a detailed report on the project.

Project Deliverables

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

1. The script of the play.
2. A recording of the play presentation.
3. A detailed report of the project.

The report should be structured as follows:

• Introduction: Students should contextualize the theme, its relevance and real-world application, as well as the objective of this project.
• Development: Students should explain the theory behind the content covered, detail the activities carried out, indicate the methodology used, and finally present and discuss the results obtained.
• Conclusion: Students should conclude the work by summarizing its main points, explaining the learnings obtained, and drawing conclusions about the project.
• Bibliography: Students should indicate the sources they relied on to work on the project, such as books, web pages, videos, etc.