Contextualization

Hello, little mathematicians! Today we are going to embark on a very interesting adventure through the world of percentages, and more specifically, we will discover the secrets of Notable Percentages. Have you ever stopped to think about how percentages are present in our daily lives? Let's go!

Percentage is an extremely useful mathematical tool that allows us to express a part of a whole in terms of 100. For example, 25% is the same as saying that we have 25 parts out of 100. And when we talk about Notable Percentages, we are referring to some values that appear frequently and are very useful for quick calculations and estimates.

Introduction

There are five notable percentages that you will learn about: 10%, 20%, 25%, 50%, and 75%. Let's start with the simplest percentage, 10%. Did you know that if we multiply a number by 10% we are actually dividing that number by 10? For example, 10% of 100 is 10, but we can also say that 10% of 100 is the same as dividing 100 by 10, which also gives us 10. Pretty cool, isn't it?

Now, let's move on to 20%. If we multiply a number by 20%, we are dividing that number by 5. For example, 20% of 100 is 20, but we can also say that 20% of 100 is the same as dividing 100 by 5, which also gives us 20. Are you following?

The percentage of 25% is very interesting. Do you know why? Because 25% of a number is the same as dividing that number by 4. For example, 25% of 100 is 25, but we can also say that 25% of 100 is the same as dividing 100 by 4, which also gives us 25. Amazing, isn't it?

Now, let's talk about a number you are familiar with: 50%. Do you know what happens if we multiply a number by 50%? We are actually dividing that number by 2. For example, 50% of 100 is 50, but we can also say that 50% of 100 is the same as dividing 100 by 2, which also gives us 50.

Finally, we have 75%. If we multiply a number by 75%, we are dividing that number by 4 and then multiplying by 3. For example, 75% of 100 is 75, but we can also say that 75% of 100 is the same as dividing 100 by 4, which gives us 25, and then multiplying by 3, which gives us 75.

So, did you understand these notable percentages? They are very useful for quick calculations and estimates. And now, with this new mathematical tool, you are ready to face the challenge of our project!

Practical Activity: "The Fantastic Journey of Notable Percentages"

Project Objective

The objective of this project is to explore notable percentages in a practical and fun way, solving everyday problems that involve the use of these percentages.

Project Description

The student groups will be challenged to plan a fantastic trip to the "Land of Notable Percentages". In this trip, they will have to use notable percentages to solve a series of problems. The trip will be simulated through a model that each group will have to create. In addition, they will also need to keep a logbook, where they will record the percentages used and the problems solved.

Required Materials

• Cardboard or cardstock for the model
• Blunt scissors
• White glue
• Colored pencils and/or markers
• Ruler
• Paper and pen for the logbook

Step by Step

1. Group Formation: Students will organize themselves into groups of 3 to 5 members.

2. Trip Planning: Each group will plan their trip to the "Land of Notable Percentages", defining the location to be visited and the attractions they will explore. Each attraction will have a problem to be solved involving a notable percentage.

3. Model Creation: Using cardboard or cardstock, students will create the model of the "Land of Notable Percentages", representing the locations to be visited and the attractions.

4. Logbook Preparation: Each group will prepare a logbook, where they will record all the percentages used and the problems solved during the trip.

5. Trip Execution: The groups will present their trip to the "Land of Notable Percentages" to the class, demonstrating how they solved the problems using notable percentages.

6. Evaluation: The groups will be evaluated based on the creativity of the trip, the accuracy in the use of notable percentages, and the clarity in the presentation and logbook.

Project Delivery

Each group will deliver the model of the "Land of Notable Percentages" and the logbook at the end of the presentation.

Remember, little mathematicians, mathematics is everywhere, even in our trips! Are you ready to embark on this adventure together?