Introduction

Dear students, we are starting the project 'Convert Fractions and Decimal Numbers 2'. This is a fundamental topic in mathematics, as the understanding of fractions and decimal numbers is the basis for the study of various other areas, such as geometry, statistics, and probability. In addition, the conversion between these two formats allows us to approach numbers in different ways, favoring our understanding and manipulation of them.

Rational numbers can be represented both in fraction form and in decimal number form. When we talk about fractions, we are referring to a division, where the numerator represents the part we are considering and the denominator the total. In the case of decimal numbers, we are dividing a whole number into equal parts of 10 or 100 or 1000 and so on.

To convert a fraction into a decimal number, we perform the division of the numerator by the denominator. In the reverse case, where we intend to convert a decimal number into a fraction, the process requires more attention, especially when dealing with decimal numbers with recurring decimals. Therefore, our focus will be on practicing these concepts and on the correct representation of rational numbers in both forms.

Contextualization

The study of fractions and decimal numbers is not limited to the classroom. These concepts are frequently used in our daily lives, whether dividing a pizza, calculating discounts, or measuring distances. Therefore, the importance of this project goes beyond the subject of mathematics, as the understanding of these concepts has a direct application in other areas of study and in daily life.

To help you in your study, we suggest some reliable sources ranging from basic to more advanced concepts. These are:

• Only Mathematics: This site provides detailed explanations and exercises on the conversion between fractions and decimal numbers.
• Khan Academy: Khan Academy has a series of explanatory videos and activities to practice the conversion between fractions and decimal numbers.
• Youtube - Matemática Rio: In this video, Prof. Rafael Procopio explains in a simple and didactic way the conversion between fractions and decimal numbers.

Studying can be a fun process and these sources were selected with the best way to learn these concepts in mind. Therefore, enjoy the activities and group discussions to learn and have fun at the same time.

Practical Activity: 'Conversion Game'

Project Objective

In this project, the goal is to put into practice and consolidate your knowledge about converting fractions into decimal numbers and vice versa, as well as developing teamwork skills, time management, and logical thinking.

Detailed Description

You will be divided into groups of 3 to 5 students. Each group will be responsible for creating a game board, which will be used to practice the conversion of fractions to decimal numbers and vice versa.

Necessary Materials:

• Cardboard or thick paper
• Colored markers
• Ruler
• Dice
• Game pieces (can be small objects)

Step by Step:

1. Use the cardboard or thick paper to create the game board. It can be a linear path, with a start and finish, or in a circular shape.

2. Use the ruler to draw the spaces on the game board. Write a fraction or a decimal number on each space.

3. On the back of each space, write the conversion of the number in front (fraction if it is a decimal and decimal if it is a fraction).

4. Each player, on their turn, rolls the dice and moves the corresponding number of spaces. They must convert the number on the space they landed on and check the correct answer on the back of the space. If the answer is correct, the player moves an extra space.

5. The game ends when one of the players reaches the end of the board. All players must check each other's answers during the game to ensure they are correct.

Project Delivery

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

1. The created game board.

2. A report containing:

   • Introduction: Contextualizing the theme, its relevance and application in the real world, as well as the objective of this project.

   • Development: Explaining the theory behind the conversion between fractions and decimal numbers, detailing the activity carried out, the methodology used, presenting and discussing the results obtained. It is important to mention the process of creating the game, the difficulties encountered, and how they were overcome.

   • Conclusion: Summarizing the main points of the work, explaining the learnings obtained and the conclusions drawn about the project.

   • Bibliography: Indicating the sources used to prepare and work on the project.

The size and complexity of the game board must be sufficient to ensure that the project lasts approximately 2 to 4 hours per student.

All participants must actively participate in all stages of the project, contributing to both the creation of the game and the preparation of the report.