Contextualization

In the globalized world we live in, it is fundamental that we understand the economy and currencies of different countries. This helps us make better financial decisions, whether to plan an international trip or analyze the price variation of products we buy. To do this, we must understand the concept of equivalence of values, which is crucial in our daily lives, from exchanging currencies to converting units of measurement.

Mathematics is the universal language we use to express quantities, measurements, and numerical relationships. This includes the ability to convert values between different systems, which is an essential skill in many everyday situations. Learning to convert values helps us better understand mathematics and science, and is also a valuable tool to help solve complex problems.

The study of the equivalence of values in different currencies is a practical example of how mathematics can be used in the real world. It is also an excellent opportunity to connect mathematics with other disciplines, such as geography (when studying countries and their respective currencies) and history (when understanding how the value and use of currency has changed over time).

Importance of the Theme

In a personal context, understanding the equivalence of values is essential for money management. With this skill, it is possible to know the real value of products and services, make comparisons, plan expenses, or save money. In a social and global context, this understanding is necessary to understand news and discussions about economics, trade, and politics.

In addition, the ability to convert values is also applied in other areas. When making recipes, building things, planning trips, or interpreting scientific information, we use equivalence and conversion of measurements. Therefore, the study of this topic helps us develop skills that are useful in many aspects of life.

Practical Activity: "Worldwide Equivalence of Values"

Project Objective

This project aims to familiarize students with various world currencies and enhance their skills in converting and comparing values. Students will learn about the concept of "equivalence", practice converting monetary values, and apply their mathematical skills to real-world situations. In addition to mathematics, the project will incorporate concepts of geography and history, connecting the equivalence of values with knowledge about different countries and their cultures.

Detailed Project Description

Groups of three to five students will be invited to create an "International Market", where each student will represent a different country. Each one must become an expert on their currency, learning about its history, current value, and conversion to the Brazilian real. They must research the typical products of their countries and their respective prices, and present all this to the class in a creative and engaging way. Each group will work collaboratively to conduct research, develop presentations, and engage in group discussions.

Necessary Materials

• Internet access to research currencies and product prices;
• Paper, pencils, colored pens;
• Poster boards or cardboard to create visual presentations;
• Magazines, newspapers, or printed images from the internet for collages.

Detailed Step-by-Step Guide to the Activity

1. Form groups of three to five students and assign each group a set of countries to research.
2. Each student in the group should choose a country and begin researching that country's currency, its current value against the real, and the history of its currency. They should use reliable sources and note where they found their information for future reference.
3. Students should then research typical products from their chosen country and their prices in that currency. They can choose food items, clothing, toys, or any other items that are relevant.
4. Each student should convert the price of the chosen products to reais and also find the equivalence between the currencies. They should show their conversion equations.
5. Students should create a visual presentation that shows the currency, products, and their prices in both the local currency and reais.
6. Finally, each student will present their country and its products to the rest of the class, discussing its currency, value, and conversion.
7. After all the presentations, students should discuss the price differences between countries, reflecting on why these differences might exist.

Project Deliverables

Each group should deliver a visual presentation and a written report. In the report, students should:

• Introduction: Present the country and currency they chose, justifying their choice and explaining the importance of the equivalence of values.
• Development: Explain in detail the theory behind currency conversion, describe the products they chose and their research, show the conversion equations, and discuss their results.
• Conclusion: Summarize what they learned through the project, highlighting the main points and reflections.
• Bibliography: Cite the sources used for the research.

The report should complement the practical work, offering a theoretical and reflective view of the work carried out. The written document will allow students to express their understanding, analysis, and interpretation in more depth and reflect on the learning acquired.