Context

Theoretical Introduction

The concept of 'Greater or Lesser' is one of the fundamental pillars of Mathematics. Understanding it allows the ordering of numbers in increasing or decreasing sequences, thus facilitating our manipulation of them. In everyday life, we frequently use this concept. For example, when comparing prices, weights, measurements, and even when deciding which path to take based on distance.

Mathematics is a universal language. All numbers, rich or poor, new or old, are governed by the same rules and principles. The concept of 'Greater or Lesser', therefore, applies in the same way regardless of the number being considered. And understanding this concept is a crucial step to becoming fluent in this language.

The order relation is also a fundamental concept in divisions and multiplications. For example, when dividing a larger number by a smaller number, the result is always greater than 1, while if we divide a smaller number by a larger number, the result is always less than 1. The same applies to multiplications. Understanding this is like being equipped with a compass in the world of numbers, capable of guiding us in any direction we wish to go.

Context

Mathematics is present in our daily lives, and the concepts of 'Greater or Lesser' are no exception. They are used in various contexts such as finance, when comparing prices to decide which product to buy, or when calculating distances to decide the best route to take. Understanding these concepts allows us to make informed and strategic decisions in our daily lives.

These theoretical concepts are also very important for the world of technology. Programming languages frequently use these principles to perform operations, make comparisons, and make decisions within computer programs. Developing a solid understanding of these simple yet powerful concepts can open doors to promising careers in the fields of science, technology, engineering, and mathematics.

To deepen the study of the concept, students can rely on some reliable sources such as:

• Nova escola – Presents a detailed article on the concept of 'greater and lesser' and its importance.
• Khan Academy - Offers a range of videos and interactive exercises to help understand the topic.
• Book: 'Matemática da Educação Infantil' by Kátia Stocco Smole, Maria Ignez Diniz, and Patrícia Cândido, Editora Artmed.

Practical Activity

Activity Title: 'Building the Number Staircase'

Project Objective

The objective is to enhance students' understanding of the concept of 'Greater or Lesser' through a playful and collaborative activity. The project aims to stimulate logical reasoning and teamwork skills, as well as allow students' creative expression in problem-solving.

Detailed Project Description

Students will be divided into groups of 3 to 5 and will be tasked with building a 'Number Staircase' using colored cardboards. This staircase will be composed of steps, each with a number determined by the group. The numbers should be ordered in ascending order, from the smallest (base of the staircase) to the largest (top of the staircase).

Additionally, on each step, students should note a real-life situation where that number is relevant. For example, if they choose the number 7 for one of the steps, they can draw or write about the 7 days of the week.

Finally, the groups should prepare a presentation for the class, explaining the order of the numbers on their staircase and the real-life situations chosen for each step.

Required Materials:

• Colored cardboards
• Colored pens or crayons
• Scissors
• Ruler
• Glue

Detailed Step-by-Step for Activity Execution

1. The teacher divides the class into groups of 3 to 5 students.
2. Each group receives the necessary materials and a detailed explanation of the task.
3. The groups will have one week to complete the task, dividing responsibilities and work time among themselves.
4. First, the groups must decide which numbers they will use in their 'Number Staircase'. Each number must be unique, and students must ensure they are in ascending order.
5. Next, the groups draw and cut steps from cardboard for their staircase. Each step must have one of the chosen numbers clearly written on it.
6. Then, on each step, students should think of a real-life situation where that number is relevant and note or draw that situation on the step.
7. After completing all steps, students should assemble the staircase, ensuring the numbers are in the correct order.
8. Finally, each group prepares a presentation explaining their 'Number Staircase' to the class. In the presentation, they should talk about the chosen numbers, why they placed them in the chosen order, and the real-life situations associated with each number.

Project Deliverables and Written Document

The 'Number Staircase' and the presentation are the main deliverables of the project. Additionally, each group must submit a written document, in the form of a report, detailing the project's development.

The report should include, but not be limited to, four main topics:

1. Introduction: Contextualization of the concept of 'Greater or Lesser', its relevance, and how it is applied in this project.
2. Development: Explanation of the theory of 'Greater or Lesser'. Details of the practical activity, the methodology used, and the results obtained.
3. Conclusion: Summarizing the main points, discussing what they learned, how they managed to apply the concept in practice, and the conclusions drawn about the project.
4. Bibliography: Indication of research sources for the project, such as books, web pages, videos, etc.

The intention of the report is for students to reflect on the activity, connect the theoretical concept with practice, and explain the learnings obtained. It is also an opportunity to practice writing skills and organizing ideas.

The project 'Building the Number Staircase' aims to provide students with a practical, collaborative, and fun learning experience, applying and consolidating the important mathematical concept of 'Greater or Lesser'.