Lesson Plan | Technical Methodology | Multiplication and Division Problems

Objectives

Duration: 10 - 15 minutes

The goal of this stage is to introduce students to the topic of multiplication and division of natural numbers, highlighting the importance of these operations in daily life and the job market. By developing practical skills, such as calculating the total value of purchases of multiple items, students will be able to apply mathematical concepts in real situations, preparing them for future challenges and increasing their mathematical competence.

Main Objectives

1. Empower students to solve problems involving multiplication and division of natural numbers.

2. Teach practical strategies for calculating the total cost of purchasing multiple items.

3. Develop the ability to apply mathematical concepts in everyday situations.

Side Objectives

1. Encourage teamwork and collaboration among students.
2. Stimulate critical thinking and problem-solving.

Introduction

Duration: (10 - 15 minutes)

The goal of this stage is to introduce students to the topic of multiplication and division of natural numbers, highlighting the importance of these operations in daily life and the job market. By developing practical skills, such as calculating the total value of purchases of multiple items, students will be able to apply mathematical concepts in real situations, preparing them for future challenges and increasing their mathematical competence.

Contextualization

Multiplication and division are essential mathematical operations that we use daily, often without realizing it. From calculating the amounts of ingredients for a recipe to splitting the cost of a gift among friends, these operations help us solve everyday problems efficiently. Understanding how and when to use multiplication and division prepares students for real situations and develops skills that will be useful throughout their lives.

Curiosities and Market Connection

Did you know that multiplication and division are used in various professions? For example, engineers use these operations to calculate the materials needed for construction, while merchants use them to determine prices and profits. In the business world, analyzing financial data often involves multiplications and divisions to better understand balance sheets and market trends.

Initial Activity

Start the class by asking: 'How would you use multiplication to calculate the cost of 5 movie tickets?' Next, show a short video illustrating everyday situations where multiplication and division are applied, such as shopping or dividing tasks within a team.

Development

Duration: 60 - 70 minutes

The goal of this stage is to consolidate students' understanding of multiplication and division through practical and interactive activities. By working in groups to solve problems from the 'Market Challenge', students apply mathematical concepts in a simulated context, reinforcing learning and developing collaborative and problem-solving skills. The fixation and evaluation exercises allow the teacher to measure individual student understanding and identify areas needing reinforcement.

Covered Topics

1. Multiplication of natural numbers
2. Division of natural numbers
3. Practical applications of multiplication and division
4. Strategies for solving problems involving multiplication and division

Reflections on the Theme

Guide students to reflect on how multiplication and division are used in their daily lives. Ask how these operations help to solve common problems and how they can be used in different professions. Encourage them to think of specific situations where these skills are essential, such as calculating the total cost of a purchase or dividing a quantity among several people.

Mini Challenge

Market Challenge

Students will be divided into small groups and tasked with simulating the management of a small candy store. Each group will receive a price list of different candies and a fictitious total amount of money to spend. They will need to calculate how many candies they can buy with the available money, using multiplication and division to perform the necessary calculations.

Instructions

1. Divide the class into groups of 3 to 4 students.
2. Give each group a price list of different candies and a quantity of fictitious money.
3. Explain that they need to calculate how many candies they can buy with the available money, using multiplication and division operations.
4. Encourage the groups to discuss and collaborate to solve the calculations.
5. After the activity, ask each group to present their purchases and explain how they arrived at their results.

Objective: Develop practical skills of multiplication and division in a simulated market context, promoting collaboration and the application of mathematical concepts in real situations.

Duration: 30 - 35 minutes

Evaluation Exercises

1. Calculate the total cost of 6 pencil boxes, each costing R$ 3.00.
2. Divide R$ 40.00 equally among 5 friends. How much will each one receive?
3. If a t-shirt costs R$ 25.00, how much will 4 t-shirts cost?
4. You have 72 candies and want to divide them equally among 9 friends. How many candies will each one receive?

Conclusion

Duration: (15 - 20 minutes)

The goal of this stage is to consolidate students' learning, ensuring that they understand the practical importance of the mathematical operations studied. By summarizing the content, promoting a reflective discussion, and connecting theory to practice, this stage reinforces the application of concepts in real situations, preparing students to use these skills in their daily lives and future professional contexts.

Discussion

Promote an open discussion with students about how multiplication and division were applied throughout the lesson. Ask them to share their experiences in the 'Market Challenge' and how they arrived at their proposed solutions. Encourage them to reflect on the importance of working in groups and how collaboration can help solve complex problems. Ask how they can apply these skills in their daily lives and in different professions, reinforcing the connection between theory and practice.

Summary

Summarize the main content covered during the lesson, such as the multiplication and division of natural numbers, and the strategies used to solve practical problems. Reinforce how these operations are essential for calculating values in everyday situations, such as shopping and resource division. Highlight the importance of understanding and applying these mathematical concepts to face real challenges.

Closing

Explain to students that the ability to multiply and divide numbers is not just an academic skill, but a crucial tool for everyday life and the job market. Conclude the lesson by thanking everyone for their participation and emphasizing that mathematics is present in various areas and professions, being fundamental for problem-solving and informed decision-making. Make it clear that the continuous learning of these mathematical operations will strengthen their analytical and practical skills.