Objectives (5 - 7 minutes)

1. Develop the ability to calculate the volume of right prisms with rectangular and triangular bases.

   • Understand the mathematical formula for calculating the volume of right prisms.
   • Apply the formula in practical examples of right prisms with rectangular and triangular bases.

2. Recognize and differentiate the base, height, and lateral edge of a prism.

   • Identify the parts of a prism and understand how they contribute to the volume calculation.

3. Solve problems involving the volume of right prisms.

   • Develop the ability to interpret a problem and apply the knowledge about the volume of right prisms to reach a solution.

Secondary Objectives:

• Stimulate logical thinking and problem-solving skills.
• Promote the practice of mathematical calculations systematically and accurately.
• Foster the understanding of the utility of spatial geometry in solving everyday problems.

Introduction (10 - 12 minutes)

1. Review of Previous Content:

   • The teacher starts the lesson by reviewing the concepts of a prism, its characteristics, and the formula for calculating the area of its base. This is essential for understanding the prism's volume, which will be the focus of the day. (3 - 4 minutes)

2. Problem Situations:

   • The teacher proposes two problem situations:
     • The first involves a shoebox, which is a practical example of a rectangular prism. How can we calculate the volume of this box?
     • The second situation involves building a small toy in the shape of a pyramid, which is a practical example of a triangular prism. How can we calculate the volume of this pyramid? (3 - 4 minutes)

3. Contextualization:

   • The teacher explains that calculating the volume of right prisms is an important skill in various areas, from architecture and engineering, where it is used to calculate the volume of three-dimensional structures, to the packaging industry, where it is used to determine the capacity of a box. (2 - 3 minutes)

4. Attention Gain:

   • To spark students' interest, the teacher can share curiosities about the topic:
     • For example, the Great Pyramid of Giza, one of the Seven Wonders of the Ancient World, is an example of a three-dimensional structure that can be calculated using the volume formula of a prism.
     • Another curiosity is that the concept of the volume of right prisms is used in physics to calculate the amount of liquid a container can hold. (2 - 3 minutes)

Development (20 - 25 minutes)

1. Practical Activity - Building Prisms (10 - 12 minutes)

   • The teacher proposes the activity of building paper prisms. Each group of students will receive a kit that includes cardboard, a ruler, and scissors.
   • Students must follow the instructions to build a rectangular prism and a triangular prism.
   • During construction, the teacher circulates around the room to clarify doubts and ensure that students are building the prisms correctly.
   • After construction, the teacher asks students to identify the base, height, and lateral edges of each prism.

2. Volume Calculation Activity (10 - 12 minutes)

   • Using the prisms they built, students must measure the base and height of each prism. They must also count the number of lateral edges.
   • The teacher provides the formula for the volume of a right prism (V = A * h, where A is the base area and h is the height) and students must calculate the volume of each prism.
   • Students record their calculations in their notebooks and share their answers with the class.

3. Problem-Solving Activity (10 - 15 minutes)

   • The teacher distributes a list of problems involving the calculation of the volume of right prisms. The problems may include everyday situations, such as calculating the volume of a juice box or an aquarium.
   • Students, in their groups, discuss and solve the problems, applying the prism volume formula. The teacher circulates around the room, assisting the groups as needed.
   • After solving the problems, each group presents one of their solutions to the class. The teacher leads a discussion to verify if the groups' solutions are correct and to clarify any remaining doubts.

4. Discussion and Reflection (3 - 5 minutes)

   • After the activity, the teacher leads a class discussion to review the concepts learned.
   • The teacher asks students to reflect on what they have learned and how they can apply this knowledge in everyday situations.
   • The teacher also answers any final questions students may have about the topic.

These practical activities help students visualize and understand the concept of the volume of right prisms, as well as apply the mathematical formula in real-world situations. Additionally, the final discussion and reflection help solidify learning and connect the lesson content with students' everyday lives.

Return (8 - 10 minutes)

1. Group Discussion (3 - 4 minutes)

   • The teacher gathers all students for a group discussion. Each team has the opportunity to share their solutions or conclusions from the practical activities and problem-solving.
   • During this discussion, the teacher encourages students to explain how they arrived at their answers, what strategies they used, and what difficulties they faced.
   • The teacher also takes advantage of this discussion to clarify any misunderstandings and reinforce key concepts of calculating the volume of right prisms.

2. Connection to Theory (2 - 3 minutes)

   • After the group discussion, the teacher makes the connection between the practical activities and the theory presented at the beginning of the lesson.
   • The teacher reinforces the formula for the volume of a right prism (V = A * h) and how it was applied in the practical activities and problem-solving.
   • The teacher also revisits the parts of a prism (base, height, lateral edge) and how they contribute to the volume calculation.

3. Individual Reflection (2 - 3 minutes)

   • The teacher proposes a moment of individual reflection. Each student should silently think about the following questions:
     1. What was the most important concept learned today?
     2. What questions have not been answered yet?
   • The teacher requests that students record their answers on a piece of paper so they can review them later. This individual reflection helps students consolidate their learning and identify any areas of confusion or doubt.

4. Feedback and Closure (1 - 2 minutes)

   • To conclude the lesson, the teacher thanks the students for their participation and provides overall feedback on the class's performance.
   • The teacher also gives a brief review of the main points covered in the lesson and answers any final questions students may have.
   • The teacher may suggest additional study materials, such as extra volume calculation problems or explanatory videos, for those students who wish to deepen their understanding of the topic.

The Return is a crucial part of the lesson plan, as it allows the teacher to assess students' level of understanding, correct misunderstandings, and provide feedback for the next step in the learning process. Additionally, individual reflection helps students become more autonomous learners and aware of their own learning process.

Conclusion (5 - 7 minutes)

1. Summary and Recapitulation (2 - 3 minutes)

   • The teacher begins the Conclusion by recalling the main points covered in the lesson, summarizing the formula for the volume of right prisms (V = A * h), the identification of the parts of a prism (base, height, lateral edge), and how they contribute to the volume calculation.
   • The teacher also highlights the results of the practical activities, demonstrating how theoretical concepts were applied in real situations.

2. Connection of Theory with Practice (1 - 2 minutes)

   • Next, the teacher connects theory with practice, emphasizing how the construction and measurement of the prisms allowed students to visualize the theoretical concepts of volume.
   • The teacher reinforces the importance of understanding the theory behind the calculation of the volume of right prisms in order to apply it correctly in practical situations.

3. Additional Study Materials (1 - 2 minutes)

   • The teacher suggests additional study materials for students who wish to deepen their understanding of the topic.
   • This may include extra problems of calculating the volume of right prisms, explanatory videos online, math practice websites, or even reference books that further detail spatial geometry.

4. Importance of the Topic (1 minute)

   • Finally, the teacher reinforces the importance of calculating the volume of right prisms in everyday life, mentioning again the practical applications discussed in the Introduction of the lesson.
   • The teacher emphasizes that the ability to calculate the volume of right prisms is useful not only in mathematics but also in various other disciplines and real-life situations.

The Conclusion of the lesson serves to consolidate students' learning, reinforce key concepts, and motivate them to continue studying the topic. By connecting theory, practice, and real-world applications, the teacher helps students understand the relevance of the topic and the importance of mastering this mathematical skill.