Objectives (5 - 7 minutes)

1. Familiarize students with the concept of rational numbers, explaining that they are numbers that can be expressed as a fraction, such as 1/2 or 3/4.

2. Teach students that rational numbers can be placed on a number line, which will help visualize and compare these numbers more effectively.

3. Encourage students to recognize and identify rational numbers in different contexts, including everyday situations and simple mathematical problems.

Introduction (10 - 15 minutes)

1. Reviewing concepts: The teacher starts the lesson by reminding students about integers and the number line they have already learned. He asks questions to the class, such as 'Who can give me an example of an integer?' and 'Who can show me where the number 5 is on the number line?'. The teacher explains that, just like integers, there are other types of numbers that can also be represented on the number line.

2. Problem situations: The teacher presents two problem situations to the students:

   • The first problem situation: 'Imagine you are dividing a pizza into 4 equal slices. If each of you ate one slice, what fraction of the pizza did you eat?'.
   • The second problem situation: 'If I have 2 apples and give 1 apple to each of you, how many apples will each of you have?'.

3. Contextualization: The teacher explains that to solve these problem situations, we need to understand about rational numbers. He gives examples of real-life situations where rational numbers are used, such as dividing a pie among friends or sharing a cake at a birthday party. He also mentions that rational numbers are used in many other areas besides mathematics, such as in cooking recipes, in time measurements, and in personal finances.

4. Engaging students' attention: The teacher introduces the topic of rational numbers in an interesting and fun way. He can show students images of pizzas, cakes, and other foods divided into fractions to illustrate the concept of rational numbers. Additionally, he can use examples of games and activities that students are familiar with, such as dividing a deck of cards among friends, to demonstrate the concept of rational numbers in practice.

Development (20 - 25 minutes)

1. Explaining the Concept of Rational Numbers: The teacher should use appropriate language to explain the concept of rational numbers in a way that is understandable to elementary school students. He can use concrete objects like pizza, cake, apples, etc., mentioned in the introduction, to illustrate the idea of parts of a whole and how this relates to fractions. The teacher should emphasize that for a number to be rational, it needs to be a fraction, that is, it needs to be a part of a whole.

2. Placing Rational Numbers on the Number Line: The teacher should demonstrate how rational numbers can be placed on the number line. He can use the number line already drawn on the board and ask students to help place the rational numbers mentioned in the pizza, apples, etc., on the number line. The teacher can use simple examples like 1/2, 1/4, 3/4, etc., and then progressively increase the complexity, for example, 2/3, 5/8, etc.

3. Interactive Activity: The teacher can prepare a series of cards with rational numbers and ask students to place these numbers on the number line drawn on the classroom floor. Students can work in small groups, and once all the cards have been placed on the number line, the teacher can check the answers and provide feedback. This playful activity will help reinforce the concept of rational numbers and how they fit on the number line.

4. Identifying Rational Numbers in Different Contexts: The teacher should then present a series of situations and problems that students may encounter in their daily lives involving rational numbers. For example, the teacher can ask students: 'If you have 6 chocolates and want to divide them equally among 3 friends, how many chocolates will each of you receive?'. The teacher should give students time to think about the answer and then discuss the solution with the class. These practical activities will help students apply what they have learned about rational numbers in real situations.

5. Review and Feedback: The teacher should end the development session by reviewing the main points covered. He can ask review questions to check students' understanding and clarify any doubts that may arise. The teacher should provide positive and constructive feedback to reinforce students' learning and encourage them to continue exploring the world of rational numbers.

Return (8 - 10 minutes)

1. Group Discussion: The teacher should promote a group discussion, where each group of students will share their findings and solutions found during the interactive activity. Each group will have the opportunity to explain why they placed the rational numbers in certain positions on the number line. The teacher can ask additional questions to stimulate critical thinking and the participation of all students, such as 'Why do you think the number 1/2 is in the middle of the number line?' or 'How did you know that the number 3/4 was greater than the number 1/2?'.

2. Connection with Theory: After the discussion, the teacher should reinforce the connection between the theory presented and the practical activities carried out. He can point out how the problem situations at the beginning of the lesson, such as dividing the pizza into equal slices or sharing the apples, were related to the concept of rational numbers. The teacher can also remind students about the definition of rational numbers and how they can be represented on the number line.

3. Individual Reflection: To conclude the lesson, the teacher should propose that students reflect for a minute on what they have learned. He can ask two simple questions to guide students' reflection:

   • 'What was the most interesting thing you learned about rational numbers today?'
   • 'How can you use what you learned today in your daily life?'

4. Learning Check: The teacher should then ask some students to share their answers with the class. This learning check will help the teacher assess the effectiveness of the lesson and identify any areas that may need reinforcement or review in the upcoming lessons.

5. Closure: The teacher concludes the lesson by thanking everyone for their participation and reinforcing the importance of what was learned. He can say something like: 'Congratulations to everyone for actively participating in today's math lesson. Remember that now you know what rational numbers are and how they are represented on the number line. This is a big step towards becoming amazing mathematicians. See you in the next lesson!'

Conclusion (5 - 7 minutes)

1. Lesson Summary: The teacher should start the conclusion by reviewing the main points covered in the lesson. He can emphasize that rational numbers are those that can be expressed as fractions and that they can be placed on the number line to facilitate comparison and visualization. The teacher can use the board to write some fractions and ask students to place them on the number line to reinforce learning.

2. Connection between Theory, Practice, and Applications: Next, the teacher should emphasize how the lesson connected theory, practice, and applications. He can mention that the lesson started with a review of integers and the number line, which are theoretical concepts, and then students applied these concepts in practice during the interactive activity. Additionally, the teacher can highlight how rational numbers are used in everyday situations and in areas beyond mathematics.

3. Extra Materials: The teacher can suggest some extra materials for students to explore the subject at home. He can recommend children's math books that address the topic of rational numbers, such as 'The Cake and the Pizza: A Story About Fractions' by Rodrigo Vargas, or online games that help practice placing rational numbers on the number line. The teacher can also encourage students to look for rational numbers at home, in recipe books, on TV, on food labels, etc., to reinforce learning.

4. Importance of the Subject: Finally, the teacher should explain the importance of the subject for students' daily lives. He can mention that rational numbers are used in many practical situations, such as sharing a snack with friends, sharing toys, measuring ingredients when cooking, etc. Additionally, the teacher can emphasize that understanding rational numbers is fundamental for the development of more advanced mathematical skills in the future.

5. Closure: The teacher ends the lesson by reinforcing the importance of what was learned and encouraging students to continue exploring the world of rational numbers. He can say something like: 'Congratulations to everyone for completing another math lesson. Remember that now you have a new superpower: the power to understand and use rational numbers. This is a big step towards becoming math masters. Keep practicing and exploring the world of rational numbers, and see you in the next lesson!'