Lesson Plan | Technical Methodology | Unequal Partition

Objectives

Duration: (10 - 15 minutes)

The purpose of this stage is to provide students with a clear and practical understanding of the concepts of unequal sharing and ratios. This is essential for developing mathematical skills applicable in daily life and the job market, where problem-solving and the ability to analyze situations of unequal distribution are often necessary.

Main Objectives

1. Understand the idea of unequal sharing and the relationship between the parts and the whole.

2. Solve practical problems involving the unequal distribution of an amount.

3. Apply the concept of ratio to solve problems of unequal sharing.

Side Objectives

1. Develop logical and mathematical reasoning skills.
2. Promote the ability to work in groups to solve problems.

Introduction

Duration: (15 - 20 minutes)

The purpose of this stage is to introduce students to the concept of unequal sharing in a clear and engaging way. By contextualizing the topic with real-life situations and curiosities from the job market, students will understand the practical relevance of the subject. The initial activity aims to spark interest and prepare students for the practical activities that will follow.

Contextualization

Unequal shares are present in our daily lives more than we imagine. Imagine that you and a friend find a sum of money and decide to divide it, but one of you ends up with double what the other gets. This type of situation occurs not only in games and play, but also in negotiations, profit-sharing, and even in the division of inheritances. Understanding how to distribute an amount unevenly is an important skill that will help in various real-life situations.

Curiosities and Market Connection

In the business world, unequal sharing can be observed in the distribution of profits among partners, where one partner may receive a larger share of the profits due to their initial investment or active participation in the company. Another example is in the real estate sector, where land is divided according to the market value of each part. Knowing and applying the concept of unequal sharing is crucial for financial analysts, inheritance lawyers, and human resources professionals.

Initial Activity

To start the class, show a short video (3-5 minutes) that illustrates a situation of unequal sharing, such as dividing a chocolate bar among friends where one receives double of what the other gets. After the video, ask the following provocative question to the students: 'If you had to share a prize with a friend, but he received three times what you did, how would you calculate your share and his?'

Development

Duration: (40 - 45 minutes)

The purpose of this stage is to provide students with the opportunity to apply the concepts of unequal sharing in practical and real situations, promoting deep understanding and the ability to solve problems collaboratively and independently. The fixation exercises aim to reinforce understanding and ensure that students can apply the knowledge acquired in different contexts.

Covered Topics

1. Concept of unequal sharing
2. Relationship between the parts and the whole
3. Calculation of proportions and ratios

Reflections on the Theme

Guide students to reflect on how unequal sharing can impact everyday situations, such as dividing household chores among siblings, sharing candies among friends, or even in profit-sharing in a company. Ask them to think about their own examples and how understanding this concept can help in resolving conflicts and making fair decisions.

Mini Challenge

Unequal Sharing Challenge

Students will be divided into small groups and will receive a practical problem to solve involving unequal sharing of goods. Each group will have to calculate the sharing of a sum of money or objects where one part is double that of the other, and present their solutions to the class.

Instructions

1. Divide the class into groups of 3 to 4 students.
2. Distribute a sheet with the following problem: 'You have 120 reais to divide between two people, where one must receive twice as much as the other. How much will each one receive?'
3. Each group must discuss and calculate the solution to the problem.
4. Ask each group to draw a visual representation of the share (for example, using bar graphs or diagrams).
5. Guide each group to present their solution and explain their reasoning to the class.

Objective: Develop the ability to solve practical problems of unequal sharing, promoting collaboration and application of mathematical concepts.

Duration: (25 - 30 minutes)

Evaluation Exercises

1. Divide 90 candies between two children, where one receives three times what the other gets. How many candies will each receive?
2. An inheritance of 240,000 reais must be divided between two siblings, where one will receive double what the other gets. How much will each one receive?
3. In a company, a profit of 150,000 reais must be divided between two partners, where one will receive half of what the other gets. How much will each one receive?

Conclusion

Duration: (10 - 15 minutes)

The purpose of this stage is to consolidate students' learning, ensuring that they understand and value the practical application of the concepts of unequal sharing. By summarizing the content and promoting reflection, students have the opportunity to internalize the knowledge acquired and perceive its utility in real contexts.

Discussion

Encourage a discussion among students about the different forms of unequal sharing they observed during the activities. Ask how they felt about solving the problems in groups and which strategies they found most effective. Encourage them to reflect on how these concepts can be applied in everyday situations, such as dividing tasks at home, in negotiations, or even in future situations in the workplace.

Summary

Recap the main topics covered about unequal sharing, including the definition of the concept, the relationship between the parts and the whole, and the methods of calculating proportions and ratios. Reinforce the importance of understanding these ideas for solving practical problems and making fair decisions.

Closing

Explain how the class connected theory with practice through interactive activities and fixation exercises. Emphasize the relevance of practical applications of the concept of unequal sharing in the job market and daily life. Conclude by highlighting the importance of developing mathematical skills not only for school but for problem-solving in various areas of life.