Contextualization

Hello, little mathematicians! Today, we will embark on a fun journey through the world of 'Congruent Figures'. Have you heard about it? Well, congruence is a fundamental concept in mathematics that helps us understand how some shapes and figures can be exactly the same, even if they are in different positions.

In our daily lives, we find many examples of congruent figures. For example, when you look at your hands, you notice that the left hand seems to be an exact copy of the right hand, even though they are not in the same position. That's because hands are congruent figures! And not only that, triangles, rectangles, circles, and many other shapes can also be congruent.

Now, you must be wondering, why is it important to understand congruence? Well, congruence is a powerful tool that helps us solve mathematical problems. It allows us to identify and explore the similarities between different figures, which can greatly facilitate problem-solving.

Introduction

What are Congruent Figures?

Congruent figures are figures that have exactly the same shape and size. We can think of them as exact copies of each other. For two figures to be congruent, they must have all sides equal and all angles equal. Moreover, they can be in different positions or even upside down, but they will still be congruent.

How to Identify Congruent Figures?

To identify if two figures are congruent, we can follow some simple steps:

1. Check if all sides of the first figure are equal to the corresponding sides of the second figure.
2. Check if all angles of the first figure are equal to the corresponding angles of the second figure.
3. Check if the two figures have the same shape and size.

Now that we know what congruent figures are and how to identify them, we are ready to embark on a mission of exploration and discovery. Our challenge will be to identify and create congruent figures in different situations in our daily lives. Are you ready? Let's go!

Practical Activity - 'Discovering Congruent Figures in the Real World'

Project Objective

In this activity, you, little mathematicians, will be explorers of congruent figures! You will have the task of searching for and photographing different examples of congruent figures in the real world. Additionally, you will create a 'Congruence Museum', where you will exhibit the photos and explain why the figures are congruent. This project will help you better understand the concept of congruence and develop observation, communication, and problem-solving skills.

Project Description

Each group of 3 to 5 students will be responsible for:

1. Searching in the school environment, at home, or in other safe places, for examples of congruent figures. You can find congruent figures in objects, drawings, plants, furniture, etc.
2. Photographing at least 5 examples of congruent figures you find.
3. Creating a 'Congruence Museum' in each one's notebook, where you will paste the photos and explain why the figures are congruent.
4. Presenting the 'Congruence Museum' to the class, explaining each photo and the reasons why the figures are congruent.

Necessary Materials

• Camera or cell phone to take photos.
• Notebook and drawing materials to create the 'Congruence Museum'.
• Colored pens, colored pencils, crayons, etc. to decorate the museum.

Step by Step

1. Form your groups and plan the hunt: Each group should organize and choose a leader to help guide the activity. Together, discuss where you can find congruent figures and plan the hunt.

2. Go in search of congruent figures: With the camera in hand, explore different environments in search of congruent figures. Remember to observe carefully and take several photos of each example you find.

3. Create the 'Congruence Museum': Back in the classroom, each one should take their notebook and start creating their own 'Congruence Museum'. Paste the photos you took and next to each photo, write a brief explanation of why the figure is congruent.

4. Prepare the presentation: Next, the group should gather and practice the presentation of the 'Congruence Museum'. Each one should explain at least one photo and all group members should be ready to answer questions from the class.

5. Present the 'Congruence Museum': Now is the time to present the 'Congruence Museum' to the class! Remember to speak clearly, respectfully, and listen attentively to the other groups.

At the end of this project, you will have become true experts in congruent figures! Let's start the hunt?