Contextualization

The topics we will address in this project are fundamental and can be applied in various real-life situations. Have you ever thought about how to divide a cake among friends, where one of them wants twice the amount that the other does? Or how to divide a pirate's treasure unequally? Our goal will be to understand and solve problems involving the sharing of an amount in unequal parts.

By learning about unequal sharing, you will be developing the ability of logical reasoning and understanding of proportions and ratios, concepts that are the basis of mathematics and have various applications, from preparing a recipe to dividing profits in a company.

Introduction

To begin to understand unequal sharing, we need to understand what ratios and proportions are. Ratio is a relationship between two quantities, while proportion is an equality between two ratios. For example, if we have a chocolate bar that needs to be divided between two friends, so that one receives twice as much as the other, we are dealing with a ratio.

Another important concept is that of fractions. A fraction is a way to represent a division or a proportion. In the field of mathematics, it is very common to use fractions to represent unequal sharing. It may be that at some point you have to divide something into parts that are not equally large. That's where unequal sharing comes in.

The discipline of Portuguese is also fundamental for the development of the project, as in the end, it will be necessary to prepare a report addressing the main topics of the project, in addition to stimulating writing and argumentation skills.

Practical Activity: The Unequal Treasure

Project Objective

The objective of this activity is to apply the concept of unequal sharing and ratios in a playful scenario, which is the division of a treasure among pirates. This project will also serve to develop teamwork skills, problem-solving, communication, and time management.

Project Description

Students will be divided into groups of 3 to 5, and each group will be a crew of pirates who have found a treasure! However, not all pirates contributed equally to the search for the treasure, so the sharing must be unequal.

Required Materials

• Paper and pencil for records and calculations
• Rulers for measurement
• Colored adhesive tapes
• Treasure (can be chocolates, candies, small objects, etc)

Project Step by Step

1. Definition of pirates' contributions: Each group must decide what contribution each pirate made to the search for the treasure. It can range from who drew the map to who faced the terrible sea monster.

2. Definition of sharing proportions: Now, based on the contributions each pirate made, the group must define the proportion of the treasure sharing. Remember, the division must be unequal!

3. Mathematical calculations: With the defined proportion, students must calculate the amount of treasure each pirate will receive. Remember, all calculations must be recorded, as they will be important for writing the final report.

4. Division of the treasure: Now it's time to divide the treasure! Use everything you have learned to make the division fair and proportional.

5. Conflict resolution: What if a pirate is not happy with the division? The group must use their mathematical knowledge to resolve conflicts and ensure that everyone is satisfied with the sharing.

Project Deliverables

After completing the practice, the group must write a document in the form of a report addressing the following four topics:

1. Introduction: The group must introduce the project theme, explaining the relevance of the concept of unequal sharing and its real-world applications.

2. Development: Here, the group must detail the theory behind unequal sharing, explain the activity they carried out, the methodology used (how they decided on the sharing, what calculations they used, etc.), and present the results obtained. It is also important to describe the participation of each group member in the activity.

3. Conclusions: The group must conclude the report by summarizing the main points of the activity, discussing the learnings obtained, and the conclusions drawn from the project.

4. Bibliography: The group must indicate the sources they used to develop the project. The resources recommended in the project introduction can be a good starting point.

This report should complement the practical work, consolidating the connections between theory and practice, as well as developing the writing and argumentation skills of the students.