Objectives (5 - 7 minutes)

1. Understanding the concept of volume: Students should be able to understand what volume is and how it is calculated. This objective is fundamental so that they can apply the concept of volume to solving problems involving rectangular blocks.

2. Identifying rectangular blocks and their dimensions: Students must learn to identify a rectangular block and understand the importance of its dimensions (length, width, and height), since these values are essential for calculating volume.

3. Calculating the volume of rectangular blocks: Students should be able to apply the volume formula (volume = length x width x height) to calculate the volume of different rectangular blocks. The goal is for them to be able to perform this calculation quickly and accurately.

Secondary objectives:

• Development of logical-mathematical thinking: As they solve the exercises, students will have the opportunity to develop their logical-mathematical thinking, an essential skill that extends beyond the specific topic of the lesson.

• Encouraging teamwork: The practical activities suggested should be conducted in teams, promoting collaborative work and the exchange of ideas among students.

Introduction (10 - 15 minutes)

1. Reviewing prior knowledge: The teacher should begin the lesson by reviewing prior knowledge that is fundamental to understanding the topic of the lesson. They can ask questions such as: "What is a rectangle?" and "What are the properties of a rectangle?" This will help to prepare students for the new content.

2. Problem situations: Next, the teacher should present two problem situations to challenge students' thinking and spark their interest in the topic of the lesson. The situations could be: "If we have a rectangular block with dimensions of 4m x 3m x 2m, what will its volume be?" and "If we have a rectangular block with dimensions of 5cm x 7cm x 10cm, how can we calculate its volume?".

3. Contextualization: The teacher should then contextualize the importance of calculating the volume of rectangular blocks in everyday life. They can mention practical examples, such as calculating the volume of a box to ship a package by mail or calculating the volume of an aquarium to determine how many liters of water it holds.

4. Introducing the topic: To introduce the topic in an engaging way, the teacher can share interesting facts or trivia about volume and rectangular blocks. For example, they can mention that the concept of volume was introduced by the ancient Greeks and that the formula we use today to calculate the volume of a rectangular block is one of the oldest mathematical formulas. Another interesting fact is that the volume of a rectangular block does not change, even if it is rotated or inverted.

5. Introducing the topic: Finally, the teacher should introduce the topic of the lesson clearly and objectively. They can say: "Today, we are going to learn about the volume of rectangular blocks. We will discover how to calculate the volume of a rectangular block and understand why this calculation is important. In addition, we are going to solve some practical problems that involve calculating volume. Let's get started!"

Development (20 - 25 minutes)

1. Theory (10 - 12 minutes): The teacher should present the theory of calculating the volume of rectangular blocks. They should begin by reinforcing the concept of volume and how it is calculated, emphasizing that volume is a three-dimensional measurement that indicates the space occupied by an object. Next, the teacher should introduce the formula for the volume of a rectangular block (volume = length x width x height) and explain each of the dimensions involved.

   • Definition of Volume: The teacher should explain that the volume of an object is the amount of space it occupies. They can use visual examples, such as a glass full of water, to illustrate the concept.

   • Formula for the Volume of a Rectangular Block: The teacher should present the formula for the volume of a rectangular block (volume = length x width x height). They can reinforce that all dimensions must be in the same unit of measurement.

2. Practice (10 - 13 minutes): After explaining the theory, the teacher should propose practical exercises so that students can apply what they have learned. The exercises should start with simpler situations and gradually increase in complexity. The teacher should circulate around the room, assisting students as needed.

   • Exercise 1: The teacher can start with a simple exercise, such as calculating the volume of a rectangular block with dimensions of 2cm x 3cm x 4cm. They should encourage students to follow the volume formula (volume = length x width x height) to perform the calculation.

   • Exercise 2: Next, the teacher can propose a slightly more challenging exercise, such as calculating the volume of a rectangular block with dimensions of 5m x 7m x 10m. In this exercise, students will need to convert the units of measurement before performing the volume calculation.

   • Exercise 3: Finally, the teacher can present a more complex problem that involves applying the volume calculation in a real-world context. For example, they can propose the following situation: "A box has dimensions of 1m x 2m x 3m. How many of these rectangular blocks, with dimensions of 10cm x 20cm x 30cm, would be needed to completely fill the box?"

3. Discussion (3 - 5 minutes): After solving the exercises, the teacher should lead a classroom discussion to clarify any doubts that students may have. They should also reinforce the concepts learned and emphasize the importance of calculating the volume of rectangular blocks in different contexts, emphasizing the relevance of mathematics in everyday life.

   • Review of Concepts: The teacher should review the volume formula and the importance of its dimensions. They can ask review questions, such as "What is volume?" and "What are the dimensions needed to calculate the volume of a rectangular block?".

   • Practical Application: The teacher should reinforce the practical application of volume calculation, using examples from students' everyday lives. For example, they can ask, "Where else can we use volume calculation besides the example of the box and the aquarium?"

Feedback (8 - 10 minutes)

1. Group discussion (3 - 4 minutes): The teacher should propose a group discussion about the solutions found by each team for the proposed exercises. This will help to reinforce the concepts learned and encourage the exchange of ideas among students. During the discussion, the teacher should ask guiding questions to ensure that students have understood the concepts.

   • Guiding questions: The teacher can ask questions such as: "How did you arrive at this solution?" and "What strategy did you use to solve this problem?"

   • Teacher feedback: The teacher should provide constructive feedback on the solutions presented by the students, reinforcing what is correct and pointing out possible errors. They should also highlight the effective problem-solving strategies that were used.

2. Connection to theory (2 - 3 minutes): After the discussion, the teacher should help students make the connection between practice and theory. They should review the formula for the volume of a rectangular block and explain how it was applied to solve the proposed exercises. The teacher should also reinforce the importance of the dimensions of the rectangular block in calculating the volume.

   • Reviewing the volume formula: The teacher should review the volume formula (volume = length x width x height) and explain how it was used to calculate the volume of the rectangular blocks in the exercises.

   • Importance of dimensions in calculating volume: The teacher should reinforce that all dimensions of the rectangular block are important for calculating the volume and that all of them must be in the same unit of measurement.

3. Individual reflection (2 - 3 minutes): To conclude the lesson, the teacher should ask students to reflect individually on what they have learned. They should ask reflection questions that encourage students to think about the importance of calculating the volume of rectangular blocks and how they can apply this knowledge in their daily lives.

   • Reflection questions: The teacher can propose questions such as: "What was the most important concept you learned today?" and "How can you apply the calculation of the volume of rectangular blocks in your daily life?"

   • Sharing reflections: The teacher can ask some students to share their reflections with the class. This can help to reinforce learning and promote the appreciation of different perspectives.

4. Closing the lesson: The teacher should close the lesson by thanking the students for their participation and reinforcing the importance of calculating the volume of rectangular blocks. They should also inform students about the next topic to be studied and what activities will be proposed for the next lesson.

Conclusion (5 - 7 minutes)

1. Summary of content (2 - 3 minutes): The teacher should begin the Conclusion by recalling the main points covered during the lesson. This includes the definition of volume, the formula for calculating the volume of a rectangular block (volume = length x width x height), and the importance of dimensions in determining volume. The teacher can provide a brief summary of each of these points, ensuring that students have adequately understood the material presented.

2. Connection between theory, practice, and applications (1 - 2 minutes): The teacher should then explain how the lesson connected theory, practice, and applications. They should emphasize that the theory was presented clearly and concisely, and that the practical exercises allowed students to apply this theory to solving problems. In addition, the teacher should reiterate the practical applications of volume calculation, reminding students that this is a useful skill for various everyday situations.

3. Extra materials (1 minute): The teacher can suggest some extra materials for students who want to deepen their knowledge of the topic. These materials can include explanatory videos, websites with examples of solved exercises, and math books with chapters on volume and geometry. The teacher should encourage students to explore these resources on their own, emphasizing that learning is not limited to classroom time.

4. Importance of volume in everyday life (1 - 2 minutes): Finally, the teacher should reinforce the importance of volume calculation in everyday life. They can cite practical examples, such as calculating the volume of a swimming pool to add the correct amount of chemicals, or calculating the volume of a box to ship a package by mail. The teacher should emphasize that mathematics, although often seeming abstract, has real-world and useful applications in our lives, and that learning this content can make many everyday tasks easier.

5. Closing (1 minute): To close the lesson, the teacher should thank the students for their participation, commend their efforts, and encourage them to continue dedicating themselves to studying mathematics. They should also inform students about the next topic to be studied and remind them of the proposed activities. The teacher should reinforce that they are available to answer questions and provide support whenever needed, and wish everyone a great week of study.