Objectives (5 - 10 minutes)

1. Understand the concept of percentage and its relationship with fractions and decimals, and how these conversions can be applied in everyday situations.
2. Develop skills to convert fractions and decimals into percentages, and vice versa, through practical examples and exercises.
3. Apply the acquired knowledge to solve problems involving percentages, fractions, and decimals, stimulating students' logical and critical thinking.

Secondary Objectives:

• Encourage active participation of students, promoting discussions in the classroom about the practical application of the content covered.
• Stimulate collaborative problem-solving, encouraging the exchange of ideas and mutual help among students.
• Provide constant feedback and individualized guidance to students to ensure effective understanding of the content.

In this stage, the teacher must clearly present the objectives of the lesson, explaining what students should be able to do by the end of the lesson. It is important that students understand the relevance of the content that will be covered and how it applies to real-life situations.

Introduction (10 - 15 minutes)

1. Review of Previous Content: The teacher should start the lesson by briefly reviewing concepts of fractions and decimals, as understanding these topics is fundamental to grasp the new content. This review can be done through quick questions to students or solving simple exercises. (3 - 5 minutes)

2. Presentation of Problem Situations: Next, the teacher should present two problem situations involving the use of percentages, fractions, and decimals, but that are not yet solvable by the students. For example, the teacher may ask: 'If we have a whole pizza and cut it into 8 slices, what percentage does each slice represent of the pizza?' or 'If a product costs $80.00 and receives a 20% discount, what will be the new price of the product?'. These situations will serve as the basis for introducing the content and will spark students' interest in the lesson. (5 - 7 minutes)

3. Contextualization of the Subject: The teacher should then contextualize the importance of the subject, explaining how the knowledge of percentages, fractions, and decimals is applied in various everyday situations, such as in shopping, finances, cooking, among others. For example, the teacher may mention that the ability to calculate percentages is crucial when shopping to verify if a discount is truly advantageous, or when cooking to adjust a recipe. (2 - 3 minutes)

4. Introduction to the Topic: Finally, the teacher should present the topic of the lesson - 'Percentage: Conversion with Fractions and Decimals' - and explain that by the end of the lesson, students will be able to solve the problem situations presented at the beginning. The teacher can also introduce the idea that percentages, fractions, and decimals are different ways of expressing the same quantity, and that the conversion between them is a powerful tool for solving mathematical problems. (2 - 3 minutes)

This Introduction stage is crucial to spark students' interest, contextualize the subject, and prepare them for learning the new content. The teacher should use practical examples and everyday situations to make the lesson more meaningful and engaging.

Development (20 - 25 minutes)

1. Theory Presentation (10 - 12 minutes):

   • Percentage Concept: The teacher should start by explaining that a percentage is a way to express a quantity as a part of one hundred. For example, 50% means '50 out of 100'. The symbol '%' is used to represent percentages. (2 - 3 minutes)
   • Conversion from Percentage to Fraction: Next, the teacher should teach how to convert a percentage to a fraction. For this, the teacher can use practical examples, such as converting 25% into a fraction. The teacher should explain that the percentage number becomes the numerator of the fraction and the denominator is always 100. Thus, 25% becomes 25/100, which can be simplified to 1/4. (3 - 4 minutes)
   • Conversion from Percentage to Decimal: The teacher should then teach how to convert a percentage to a decimal. For this, the teacher can use the same previous example: 25%. The teacher should explain that to convert a percentage into a decimal, you just need to divide the percentage by 100. Therefore, 25% becomes 0.25. (2 - 3 minutes)
   • Conversion from Fraction to Percentage: Then, the teacher should teach how to convert a fraction to a percentage. For this, the teacher can use the example of the fraction 1/4. The teacher should explain that to convert a fraction into a percentage, you just need to multiply the fraction by 100. Therefore, 1/4 becomes 25%. (2 - 3 minutes)
   • Conversion from Decimal to Percentage: Finally, the teacher should teach how to convert a decimal to a percentage. For this, the teacher can use the example of the decimal 0.25. The teacher should explain that to convert a decimal into a percentage, you just need to multiply the decimal by 100. Therefore, 0.25 becomes 25%. (1 - 2 minutes)

2. Guided Practice (5 - 7 minutes):

   • After explaining the theory, the teacher should provide students with a series of exercises to practice the conversion between percentages, fractions, and decimals. The teacher should guide students in solving these exercises, providing feedback and guidance as needed. (5 - 7 minutes)

3. Problem Solving (5 - 6 minutes):

   • The teacher should then revisit the problem situations presented in the Introduction of the lesson and, together with the students, apply the learned concepts to solve them. This stage is essential to consolidate students' understanding and demonstrate the practical application of the content. (5 - 6 minutes)

4. Discussion and Clarification of Doubts (2 - 3 minutes):

   • Finally, the teacher should open the floor for students to ask questions, clarify doubts, and discuss the content. It is important that the teacher encourages everyone's participation and creates a welcoming environment conducive to learning. (2 - 3 minutes)

This Development stage is the core of the lesson, where students acquire the knowledge and skills necessary to solve problems involving percentages, fractions, and decimals. The teacher should ensure that students understand the theory by practicing with exercises and applying the knowledge in real-life situations.

Return (10 - 15 minutes)

1. Review and Recapitulation (5 - 7 minutes):

   • The teacher should start this stage by reviewing the main points covered during the lesson. He should ask students what they understood about the concepts of percentage, fraction, and decimal, and how they are inter-convertible. The teacher can use the blackboard or a slide presentation to summarize the concepts and reinforce learning.
   • Next, the teacher should recap the strategies used to convert between percentages, fractions, and decimals. He can do this by solving one or two exercises on the blackboard, asking for students' participation to explain each step.
   • The teacher should also recall the problem situations presented at the beginning of the lesson and how they were solved using the learned strategies. This will help students connect theory to practice and understand the relevance of the learned content.

2. Reflection on Learning (3 - 5 minutes):

   • The teacher should then ask students to reflect on what they have learned. He can ask questions like: 'What was the most important concept you learned today?' and 'What questions have not been answered yet?'. Students should be encouraged to express their opinions and share their doubts. The teacher should take note of these doubts and use them to guide future lessons or reviews.
   • The teacher can also ask students to make connections between the learned content and the real world. For example, he can ask: 'How do you think the ability to convert between percentages, fractions, and decimals can be useful in your everyday lives?'. This will help students understand the relevance of what they have learned and apply the knowledge in a practical way.

3. Students' Feedback (2 - 3 minutes):

   • Finally, the teacher should ask for feedback from students about the lesson. He can ask: 'What did you think of today's lesson?' and 'What can we do to improve your learning?'. Students' feedback is crucial for the teacher's improvement and for the continuous enhancement of the teaching-learning process.

This Return stage is essential to consolidate learning, allow students to clarify doubts, and reflect on what they have learned. The teacher should ensure that students have understood the concepts and strategies presented, and that they feel motivated to continue learning. Students' feedback is a valuable tool to improve teaching and learning.

Conclusion (5 - 7 minutes)

1. Lesson Summary (2 - 3 minutes):

   • The teacher should summarize the main points covered during the lesson, reinforcing the concept of percentage, the conversion between percentage, fraction, and decimal, and the application of these concepts in problem-solving.
   • He can also recap the strategies used to perform these conversions, highlighting that the percentage is a way to express a quantity as a part of one hundred, and that the conversion between percentage, fraction, and decimal is a matter of knowledge of equivalences and simple mathematical operations.
   • The teacher should ensure that students understand the relationship between these concepts and their practical application, and that they feel confident to solve problems involving percentages, fractions, and decimals.

2. Connection between Theory, Practice, and Applications (1 - 2 minutes):

   • The teacher should explain how the lesson connected theory, practice, and applications. He can mention that the theory was presented clearly and didactically, that practice was carried out through exercises and problem situations, and that applications were discussed and related to students' daily lives.
   • The teacher should emphasize that understanding the theory is essential for practical problem-solving, and that the connection with reality helps make learning more meaningful and motivating.

3. Complementary Materials (1 - 2 minutes):

   • The teacher should suggest complementary materials for students who wish to deepen their understanding of the subject. These materials may include books, websites, videos, and online exercises.
   • For example, the teacher can recommend an explanatory video about percentages, a website with games and interactive activities about fractions, or a math book with exercises on conversion between percentage, fraction, and decimal.

4. Importance of the Content (1 minute):

   • Finally, the teacher should reinforce the importance of the content learned for students' lives. He can mention that the knowledge of percentages, fractions, and decimals is essential for various everyday situations, such as in shopping, finances, cooking, among others.
   • The teacher should emphasize that the ability to convert between percentages, fractions, and decimals is a powerful tool for solving mathematical problems and for making informed decisions in various real-life situations.

The Conclusion stage is essential to consolidate learning, reinforce key concepts, and motivate students to continue studying the subject. The teacher should ensure that students have understood the lesson content and feel confident to apply the acquired knowledge in real-life situations.