Contextualization

Geometry is an area of Mathematics of great relevance, not only for the development of logical and abstract thinking, but also for its practical application in various disciplines and daily activities. Within the universe of Geometry, in the present project, we will study the concept of 3D Geometric Solids, which refers to figures that have three dimensions: height, width, and length.

Geometric Solids are divided into various types, such as prisms, pyramids, cylinders, spheres, cones, among others. The characteristics of these solids are based on the number of faces, vertices, and edges they have, as well as the type of polygon they form as a base, if applicable. Understanding these characteristics is fundamental to unravel the universe of 3D Geometric Solids.

Introduction

The study of 3D Geometric Solids is fundamental for the understanding of various mathematical principles and concepts. This subject is considerably challenging because it requires the understanding of different concepts, such as volume, total area, space, and shape. Additionally, it is necessary to master specific properties and characteristics of each type of 3D solid.

By studying 3D Geometric Solids, we learn to understand the world around us from a new perspective. This is because these concepts are applied in various everyday situations, from architecture, design, and engineering, to the interpretation of images and graphics in three dimensions. Whether in a simple shoebox or in the complexity of a skyscraper, 3D Geometric Solids are present.

In this sense, the present project aims not only to deepen the theoretical and practical knowledge regarding 3D Geometric Solids but also to promote collaboration and teamwork among students. For this, the project will be carried out in groups and will include playful and challenging activities.

In this project, we will create a 'Museum of 3D Geometric Solids' where each group will create models of different geometric solids, in addition to an oral presentation and a written report detailing the concepts studied and the work carried out.

To prepare for this journey, we suggest the following resources:

• Book: 'Mathematics and Reality' by Gelson Iezzi. This textbook addresses geometry in a playful and didactic way, ideal for students from the 6th to 9th grade.

• Video: Matemática Rio Channel with Prof. Rafael Procopio on YouTube. The video 'Geometric Solids: What is it? What does it eat? Where does it live?' is a great visual resource to understand the concept of geometric solids.

• Website: Only Mathematics (somatematica.com.br). This website has a section dedicated to geometric solids that can help in understanding the concepts.

Remember that each resource has its particularity and will assist in understanding the topic in a different way. It is ideal that you explore all of them!

Practical Activity: Museum of 3D Geometric Solids

Project Objective:

• Know and understand the properties of the main geometric solids.
• Build models of different 3D geometric solids.
• Relate theory to practice in the study of spatial geometry.

Detailed Project Description:

Each group will be responsible for creating a 'Museum of 3D Geometric Solids'. This museum will consist of models of different geometric solids, built by the students themselves, and an explanatory guide for each model that will include detailed information about the represented solid.

Necessary Materials:

• Cardboard
• Colored paper
• Scissors
• Glue
• Colored markers
• Ruler
• Compass
• Protractor

Step by Step:

1. Study of 3D Geometric Solids: each group must study the different types of 3D geometric solids, understanding their properties, characteristics, and practical examples of where they can be found in our daily lives.

2. Selection of Solids: the group must select at least one solid of each type (prisms, pyramids, cylinders, cones, and spheres) to build their models.

3. Project Elaboration: the group must plan how the models will be made, including the measurements of each part, the amount of material needed, and the division of tasks among the members.

4. Construction of Models: with the project in hand, it is time to build the models. Use the available material to ensure that the solids are well represented.

5. Elaboration of the Explanatory Guide: for each model built, the group must create an explanatory guide that includes: name of the solid, definition, number of faces, vertices, and edges, type of base polygon (if applicable), practical examples of where it can be found, and interesting curiosities about the solid.

6. Museum Assembly: with the models ready and the explanatory guides prepared, it is time to assemble the museum. The models should be displayed in an organized manner and the guides placed next to each one.

7. Oral Presentation: each group will make an oral presentation of their museum to the class, where they will explain about the solids presented and their characteristics. This will be an opportunity to practice communication and argumentation skills.

Project Deliverables:

In addition to the construction of the 'Museum of 3D Geometric Solids' and the oral presentation, students must submit a written report of the project containing:

1. Introduction: contextualization of the theme and project objective.
2. Development: theory of geometric solids, detailed description of the activity carried out, methodology used, and discussion of the results obtained.
3. Conclusion: main learnings, challenges encountered and how they were overcome, and conclusions drawn about the project.
4. Bibliography: bibliographic references used in the development of the project.

This report must be submitted in digital format one week after the museum presentation and will be evaluated based on the clarity of information, text organization, grammatical correctness, and correct application of 3D geometric solids concepts.

Remember that the central idea of this project is for students to work collaboratively, develop problem-solving and communication skills, and, of course, delve into the study of geometric solids.