Context

Fractions! Who has never come across them in real life, right? Mathematics is everywhere, and sometimes we find ourselves in situations where we need to deal with quantities that are not whole numbers. Perhaps you are sharing a pizza with your friends, or maybe measuring ingredients for a cake recipe, or even dividing your time between various activities. Everywhere, it is possible to find situations that require the use of fractions.

Fractions are an important part of the number system and are essential for representing non-whole quantities. The addition and subtraction of fractions, specifically, are skills we use in our daily lives, whether we realize it or not. In this project, we will delve into the world of fractions, discussing their importance in mathematics and everyday life, as well as exploring how to perform their basic addition and subtraction operations.

There are numerous situations in our daily lives where we use the addition and subtraction of fractions. For example, when we cook and need to measure ingredients, or when we want to divide a treat among several people. Mathematics is in everything we do, and knowing how to deal with fractions can help us solve everyday problems more effectively.

Introduction

In theory, fractions are numbers that represent a part of a whole. They are formed by two numbers, the numerator, which refers to the number of parts we are considering, and the denominator, which refers to the total parts of that quantity. Understanding the concept of fractions is essential for dealing with non-whole quantities and for solving more complex mathematical problems.

Adding and subtracting fractions is not as straightforward a process as adding and subtracting whole numbers. It is necessary to consider the denominators of the fractions involved. When the denominators are the same, the process is simple, just perform the operation on the numerator. However, when the denominators are different, a common denominator must be found before performing the operation.

Understanding these concepts is extremely important not only for your school life but for your entire life. Mathematics is a powerful tool that allows us to solve real situations in an orderly and precise manner. Although it may sometimes seem difficult, learning mathematics can be a fun and interesting task when approached correctly.

To deepen your understanding of the topic, you can check out the following resources:

1. Khan Academy - Fractions
2. Addition and Subtraction of Fractions - Matemática Zup
3. Learn Mathematics - Fractions

Practical Activity

Activity Title: "Fraction Party"

Project Objective

The objective is to create a menu for a small event or party, where each menu item represents a fraction. The work will be done in groups of 3 to 5 students, and each group will have to add and subtract different menu items using fractions to achieve a specific goal.

Detailed Project Description

Each group will be responsible for creating a party menu, which will include food, drinks, entertainment, and decoration. Each item will represent a fraction that relates to the cost, preparation time, required quantity, among others.

Students will have to consider different scenarios and, using the addition and subtraction of fractions, determine what will be needed for each scenario. For example, if they have half of a pizza and want to add a quarter of another pizza, how much pizza will they have in total? Or, if they have ¾ of a cake and eat ⅓ of it, how much cake will be left?

Required Materials

• Paper and pencil for notes and calculations
• Colored pencils or markers for creating the menu
• Internet access to research prices and other necessary information

Detailed Step-by-Step

1. Form groups of 3 to 5 students.
2. Each group must choose a theme for their party menu.
3. The group must then create a menu that includes food, drinks, entertainment, and decoration items. Each item must be represented as a fraction.
4. Students must create different scenarios that require the addition and subtraction of different menu items.
5. Using their skills in adding and subtracting fractions, students must solve each scenario.
6. The group must record all their findings and calculations to include in their final report.
7. Finally, students must create a presentation of their party menu, explaining the representation of fractions and how they add and subtract to meet the requirements of each scenario.

Project Deliverables

At the end of the project, students must deliver:

1. The physical party menu created by the group.

2. The scenarios and calculations performed.

3. A final report where they contextualize what they did in the project, describing the development, including a detailed account of their findings and conclusions from the project. The report should contain the following parts:

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

   • Development: Explain the theory behind the central theme(s) of the project, detail the activity, indicate the methodology used, and finally present and discuss the results obtained.

   • Conclusion: Summarize the main points, explain the learnings obtained, and draw conclusions about the project.

   • Bibliography: Indicate the sources they relied on to work on the project such as books, web pages, videos, etc.