Lesson Plan | Traditional Methodology | Percentage: Percentage Problems

Objectives

Duration: (10 - 15 minutes)

The purpose of this stage is to introduce and contextualize the concept of percentage, highlighting its importance and application in everyday life. It prepares students to understand the content that will be explored throughout the lesson, as well as motivating them to see the practical relevance of percentage calculations.

Main Objectives

1. Understand the concept of percentage and its representation.

2. Learn to calculate the percentage of a number.

3. Apply percentage calculations in practical situations, such as discounts on products.

Introduction

Duration: (10 - 15 minutes)

The purpose of this stage is to introduce and contextualize the concept of percentage, highlighting its importance and application in everyday life. It prepares students to understand the content that will be explored throughout the lesson, as well as motivating them to see the practical relevance of percentage calculations.

Context

Start the lesson by making a brief introduction to the topic of percentage. Explain that percentage is a way to express a proportion in relation to 100. For example, if we say that 50% of a class likes chocolate, it means that 50 out of every 100 students like chocolate. Use examples from the students' daily lives, such as discounts in stores, test scores, and sports statistics, to show how percentage is frequently used in various everyday situations.

Curiosities

Did you know that the word 'percentage' comes from the Latin 'per centum', which means 'by the hundred'? It is interesting to note that the symbol '%' was introduced in the 15th century and has become a universal symbol to represent fractions of 100. Today, we use percentages for everything, from calculating taxes to understanding a basketball player's efficiency in their games.

Development

Duration: (60 - 70 minutes)

The purpose of this stage is to deepen students' understanding of the concept of percentage, its representation, and practical application. By addressing specific and detailed topics, students will have a clear and practical understanding of how to calculate percentages and how they are applied in everyday situations. Solving questions in the classroom will allow them to solidify the content learned and practice percentage calculations.

Covered Topics

1. Concept of Percentage: Explain that percentage is a fraction whose denominator is 100. Detail that the word 'percentage' comes from the Latin 'per centum', meaning 'by the hundred'. 2. Representation of Percentage: Show how percentage can be written as a fraction and a decimal number. For example, 25% is the same as 25/100 or 0.25. 3. Calculating the Percentage of a Number: Demonstrate how to calculate the percentage of a number using the basic formula: (percentage / 100) * number. Use practical examples, such as calculating 20% of 50. 4. Percentage Increases and Discounts: Explain how to calculate percentage increases and discounts. For example, how to calculate a 10% increase on a salary of 1000 reais, or a 15% discount on a product that costs 200 reais. 5. Practical Applications: Show how percentages are used in various everyday situations, such as school grades, sports statistics, and personal finances (interest, taxes, etc.).

Classroom Questions

1. Calculate 15% of 80. 2. If a product that costs R$150 is 20% off, what will be the new price of the product? 3. A student scored 75% on a test of 40 questions. How many questions did they get right?

Questions Discussion

Duration: (15 - 20 minutes)

The purpose of this stage is to review and consolidate students' understanding of the concepts and calculations of percentage. By discussing the answers to the solved questions and engaging students with questions and reflections, a better assimilation of the content is promoted, as well as stimulating critical thinking and the practical application of the knowledge acquired.

Discussion

• Question 1: Calculate 15% of 80.

• To calculate 15% of 80, use the formula: (15/100) * 80.

• First, convert 15% to a fraction: 15/100 = 0.15.

• Then, multiply 0.15 by 80: 0.15 * 80 = 12.

• Therefore, 15% of 80 is 12.

• Question 2: If a product that costs R$150 is 20% off, what will be the new price of the product?

• To calculate the discount, use the formula: (20/100) * 150.

• First, convert 20% to a fraction: 20/100 = 0.20.

• Then, multiply 0.20 by 150: 0.20 * 150 = 30.

• The value of the discount is R$30.

• To find the new price, subtract the discount from the original price: 150 - 30 = 120.

• Therefore, the new price of the product with a 20% discount is R$120.

• Question 3: A student scored 75% on a test of 40 questions. How many questions did they get right?

• To calculate the number of questions answered correctly, use the formula: (75/100) * 40.

• First, convert 75% to a fraction: 75/100 = 0.75.

• Then, multiply 0.75 by 40: 0.75 * 40 = 30.

• Therefore, the student got 30 questions right.

Student Engagement

1. 📌 Question 1: What is the difference between calculating a percentage of a number and calculating a percentage increase? 2. 📌 Question 2: How would you apply percentage calculations to better understand discounts in a store? Can you give a practical example? 3. 📌 Question 3: In what other everyday situations do you think it's important to know how to calculate percentages? Why? 4. 📌 Reflection 1: What was the easiest and hardest part of solving the percentage problems today? How can we improve on the difficult part? 5. 📌 Reflection 2: How can you use what you learned today to help your parents or guardians save money on purchases?

Conclusion

Duration: (10 - 15 minutes)

The purpose of this stage is to review and consolidate the main concepts presented during the lesson, reinforcing the connection between theory and practice. This ensures that students have a clear and comprehensive understanding of the content, as well as highlighting the importance and applicability of percentage calculations in everyday life.

Summary

• Concept of percentage and its representation as a fraction and decimal number.
• Calculating the percentage of a number using the formula: (percentage / 100) * number.
• Calculating percentage increases and discounts.
• Practical applications of percentages in various everyday situations, such as school grades, sports statistics, and personal finances.

The lesson connected theory with practice by using everyday examples, such as discounts on products and test scores, to illustrate how percentages are applied in real situations. Solving practical problems allowed students to see the utility of percentage calculations in their daily lives.

The study of percentages is extremely relevant for everyday life, as it allows people to better understand financial situations, such as discounts, interest, and taxes. In addition, knowing how to calculate percentages is useful for interpreting statistical data in various areas, such as sports and education, facilitating informed decision-making.