Context

In the real world, we are constantly using mathematics, often without even realizing it. A concept we frequently use is percentage, whether in calculating discounts, in statistical analysis, or even to express proportions. That's why learning how to convert decimal numbers and fractions into percentages is so important.

Moreover, the ability to make these conversions is a fundamental skill to solve many types of mathematical problems, making mastering this technique essential. Learning to convert fractions and decimal numbers into percentages helps us better understand mathematical concepts and allows us to apply them more effectively in everyday life.

Theoretical Introduction

The concept of percentage is widely used and represents a proportion out of a total of one hundred. When we convert a fraction or a decimal number into a percentage, we are essentially scaling that quantity to a total of 100.

Converting a decimal number to a percentage involves multiplying that number by 100. For example, to convert the decimal number 0.5 into a percentage, we multiply by 100, resulting in 50%.

On the other hand, converting a fraction to a percentage is done based on a simple rule of three. Consider, for example, the fraction 1/2, the first step is to divide the numerator by the denominator, resulting in a decimal number, 0.5, then again, we multiply 0.5 by 100, obtaining 50%, which is the percentage corresponding to the fraction 1/2.

Practical Activity: "The Percentage Game"

Project Objective

The objective of this project is to strengthen students' understanding of converting decimal fractions into percentages while developing social skills such as teamwork, time management, and problem-solving.

Detailed Project Description

The project will be carried out in groups of 3 to 5 students and will have a total duration of 12 hours of work per student. The project will involve two main subjects: mathematics and arts.

Students will be challenged to create an educational board game involving the conversion of decimal numbers and fractions into percentages. The game should be designed to be played in groups, encouraging collaboration among players.

Required Materials

• Cardboard or cardstock
• Colored pens and markers
• Ruler
• Dice
• Player pawns
• Question/answer cards
• Computer with internet access for research

Step by Step

1. Research and planning: Students should research the theoretical concepts of converting fractions and decimal numbers into percentages and plan the game.
2. Board creation: Using cardboard and pens, students will create the game board.
3. Question development: Students should create questions to be answered during the game. The questions should involve the conversion of fractions and decimal numbers into percentages.
4. Game rules creation: The group must establish clear rules for the game.
5. Testing and adjustments: The group should test the game and make any necessary adjustments to improve it.
6. Documentation: Finally, students should prepare a report describing the entire process of creating and implementing the game.

Project Deliverables

Students will deliver the developed board game, as well as a report documenting the entire process. The report should include the following topics:

1. Introduction: Contextualization of the theme, relevance and real-world application, and project objective.
2. Development: Detailed explanation of the theory behind the conversion of fractions and decimal numbers into percentages, detailed description of the game, and discussion of the results obtained in the game test.
3. Conclusion: Recapitulation of the main points, lessons learned, analysis of the game's effectiveness in teaching conversions, and any other final considerations.
4. Bibliography: List of all resources used during research and game creation.

Through this project, students will learn not only the theory behind converting fractions and decimal numbers into percentages but also how to apply these concepts in a playful and collaborative way.

The project will enhance students' mathematical skills while stimulating the development of other important skills, such as the ability to work in a team, time management, and problem-solving.