Contextualization

Hello, young mathematical adventurers! Today, we are going on a fascinating journey to discover and understand the world of 'Displacements and Location: Grids'. So, before we start, have you ever stopped to think about how it is possible to locate yourself on a map? Or how the displacement from one place to another occurs?

Let's start exploring this fascinating field of mathematics, with the help of grids. They are like a large chessboard, where each square represents a unit of measurement, for example, a kilometer, a meter, or even a centimeter. And it is through these grids that we, mathematicians and cartographers (people who draw maps), can understand and represent the world around us.

Introduction

Grids are a powerful mathematical tool that allows us to describe and understand the space around us. They are widely used in various fields, such as geography, architecture, cartography, and even in games, like the famous 'minesweeper'. Through grids, we can represent and analyze displacements and locations, as well as perform mathematical operations such as addition, subtraction, multiplication, and division.

Imagine you are in a large park and want to meet a friend. How would you locate yourselves? One way would be to divide the park into small parts, as if it were a large chessboard, and each part represented a unit of measurement, such as a meter. Thus, you could tell your friend to meet you in the part of the park that is three squares to the right and five squares up from the entrance. This is actually a description of a location on the grid.

Now, let's explore the idea of displacements. Let's say you want to go from the park to the ice cream shop across the street. You could move, that is, move, a certain number of squares on the grid to the right and a certain number up, until you reach the ice cream shop. This is an example of a displacement on the grid.

Through this project, we will enhance our location and displacement skills, working as a team, improving communication, and, of course, having a lot of fun! So, are you ready for the adventure? Let's go!

Practical Activity: 'The Great Mathematical Expedition'

Project Objective

The objective of this project is to explore the concept of location and displacement on grids, enhancing skills such as communication, teamwork, and problem-solving. Through the 'Great Mathematical Expedition', students will create their own map, plan displacements, and locate points of interest.

Detailed Project Description

Students, divided into groups of 3 to 5, will create a map of a fictional city in the form of a grid, where each square represents a unit of measurement. Then, they will plan displacements between different points in the city, using instructions like 'walk 3 blocks to the right' or 'walk 2 blocks up'. Finally, they will locate points of interest on the map, such as parks, schools, ice cream shops, cinemas, among others.

Required Materials

• Large grid paper or cardboard
• Ruler
• Colored pencils
• Colored pens
• Dictionary (to check the spelling of location names)

Step by Step

Step 1: Preparing the map

Each group will receive a large grid paper or cardboard. They must draw a fictional city in the form of a grid, where each square represents a unit of measurement (for example, a kilometer, a meter, or a centimeter, depending on the map size). Students should name neighborhoods and streets, and can include elements like rivers, mountains, and parks, if they wish.

Step 2: Planning displacements

Students, in their groups, must choose two points in the city and plan a displacement between them. They should use displacement instructions on the grid, such as 'walk 3 blocks to the right' or 'walk 2 blocks up'. Students should write down step-by-step instructions for the displacement.

Step 3: Locating points of interest

Each group must choose at least three points of interest in the city, such as parks, schools, ice cream shops, cinemas, among others. They must locate these points on the map and write down their coordinates on the grid.

Step 4: Decorating the map

After completing the location of points of interest, students can use colored pencils and colored pens to decorate the map.

Step 5: Presenting the work

Each group must present their map to the class, explaining the planned displacements and points of interest in the city. They can also talk a little about the teamwork process and the challenges faced during the project.

Delivery Format

Each group will deliver their decorated map and notes on displacements and points of interest. In addition, they must present the work to the class, sharing what they learned during the process.

Remember, the most important thing is to have fun and learn together! Good luck, mathematical adventurers!