Lesson Plan | Technical Methodology | Multiplication with Missing Values

Objectives

Duration: 10 - 15 minutes

The purpose of this stage is to ensure that students understand the importance of solving mathematical problems with missing values, an essential skill for practical life and the job market. The development of practical skills and the ability to solve complex problems are fundamental for the formation of individuals capable of facing challenges in real life and in the professional environment.

Main Objectives

1. Understand the structure of an equation with a multiplication operation and identify the unknown term.

2. Develop problem-solving skills by applying concepts of multiplication with missing values.

Side Objectives

1. Encourage logical and analytical thinking when dealing with mathematical problems.
2. Promote collaboration among students through group activities.

Introduction

Duration: 10 - 15 minutes

The purpose of this stage is to ensure that students understand the importance of solving mathematical problems with missing values, an essential skill for practical life and the job market. The development of practical skills and the ability to solve complex problems are fundamental for the formation of individuals capable of facing challenges in real life and in the professional environment.

Contextualization

Multiplication with missing values is an essential skill that we encounter in various everyday situations. Imagine you are in a toy store and want to buy several identical items. Knowing the total price and the number of items you want to buy, how can you discover the unit price of each item? This type of problem is a practical example of how multiplication with missing values can be used to solve everyday issues.

Curiosities and Market Connection

Curiosity: Multiplication with missing values is widely used in areas such as engineering, economics, and data science. For example, engineers often need to calculate the amount of material required to build a structure based on provided values. In the financial market, analysts use these skills to determine unknown values in complex financial formulas. The ability to solve these problems is highly valued in the job market, as it demonstrates analytical and problem-solving skills.

Initial Activity

To spark students' interest, start the class with the following provoking question: "If 3 packs of stickers cost 12 reais, how much does each pack cost?" Ask the students to discuss in pairs for 2 minutes and then share their answers with the class. Alternatively, show a short video of 2-3 minutes that demonstrates how professionals solve multiplication problems with missing values in their daily lives.

Development

Duration: 50 - 60 minutes

The purpose of this stage is to provide students with the opportunity to apply and consolidate the concepts learned through practical activities and problem-solving exercises. This ensures that they develop essential multiplication skills with missing values, preparing them for real challenges in the future.

Covered Topics

1. Concept of multiplication
2. Identification of unknown terms in multiplication
3. Solving practical problems with missing values
4. Application of multiplication in everyday situations

Reflections on the Theme

Guide students to reflect on how the ability to solve problems with multiplication and missing values can be useful in everyday practical situations, such as calculating the unit price of products, planning the amount of material needed for a project, or understanding promotions and discounts in stores.

Mini Challenge

Mini Challenge: Building a Market

Students will simulate setting up a market in the classroom, where they will need to solve multiplication problems with missing values to determine prices, quantities, and total values of products.

Instructions

1. Divide the class into small groups of 4 to 5 students.
2. Distribute to the groups a list of products with total prices and partial quantities. Example: '3 boxes of juice cost 15 reais.'
3. Each group must calculate the unit price of each product using multiplication with missing values.
4. After solving the calculations, the groups will set up a small 'booth' with the products and their respective unit prices.
5. Then, each group must exchange booths with another group and verify if the calculations made by the previous group are correct.
6. Conclude the activity with a collective discussion about the results and the difficulties encountered.

Objective: The objective of this activity is to apply the concept of multiplication with missing values in a practical and collaborative situation, reinforcing students' understanding through the resolution of real problems and peer review.

Duration: 30 - 35 minutes

Evaluation Exercises

1. Solve the following equation: 4 x ______ = 20
2. Complete the equation: ______ x 7 = 35
3. If 5 packs of candies cost 25 reais, how much does each pack cost?
4. A box with 6 cans of soda costs 18 reais. What is the price of each can?
5. Complete the sequence: 3 x ______ = 27

Conclusion

Duration: 10 - 15 minutes

The purpose of this stage is to ensure that students consolidate the knowledge acquired, understand the practical relevance of the content learned, and reflect on the application of this knowledge in real situations. This helps reinforce the importance of the topic and motivates students to apply these skills in their daily lives.

Discussion

Promote an open discussion with students about how the ability to solve multiplication problems with missing values was applied during the class. Ask students to share their experiences and reflections on the mini-market challenge, highlighting the difficulties encountered and how they overcame them. Encourage them to think of other everyday situations where this skill can be useful, such as when shopping, splitting bills, or planning school projects.

Summary

Recap the main content covered in class: the structure of an equation with multiplication, identification of unknown terms, and solving practical problems with missing values. Reinforce the importance of understanding and applying these concepts in everyday situations and the professional environment.

Closing

Explain to students how the class connected theory to practice through interactive and collaborative activities, such as the mini-market challenge. Emphasize that the ability to solve mathematical problems with missing values is essential not only for academic success but also for practical life and the job market. Conclude by highlighting the importance of continuing to practice these skills to become a critical thinker and an efficient problem solver.