Objectives (5 - 7 minutes)

1. Understanding the concept: Students should be able to understand what prefixes of the International System of Units are and why they are used. This includes the ability to identify and explain the meaning of each of the prefixes used in the system, such as 'kilo-', 'mega-', 'micro-', etc.

2. Application of the concept: Students should be able to apply the knowledge acquired about the prefixes of the International System of Units to convert between different units of measure. This involves applying simple rules of multiplication and division, for example, to convert meters to kilometers.

3. Recognition of practical use: Students should be able to recognize and describe real-world situations where understanding the prefixes of the International System of Units is important. This may include examples of use in fields such as science, engineering, medicine, etc.

Secondary objectives:

• Development of critical thinking skills: Students should be encouraged to think critically about the use of prefixes of the International System of Units and how they simplify the representation of physical quantities.

• Promotion of discussions and group interactions: Through group activities, students should be encouraged to discuss and share their ideas and understandings on the topic, thus promoting a collaborative and interactive learning environment.

Introduction (10 - 15 minutes)

1. Review of previous content: The teacher should start the lesson by reviewing the concepts of units of measure and the International System of Units (SI), emphasizing the importance of having a global standard for measuring physical quantities. This can be done through a brief questionnaire, where the teacher asks questions about these concepts and the students respond in writing or orally. (3 - 5 minutes)

2. Problem-solving situations: The teacher should then present two situations that illustrate the importance of prefixes in everyday life:

   • The first one could be about the need to convert units of measure when cooking. For example, if a recipe calls for 500 milliliters of water, but we only have a 250 milliliter cup, how can we use prefixes to solve this problem?

   • The second one could be about the distance between cities. For example, if a city is 200 kilometers away and we want to know the distance in meters, how can we use prefixes to make this conversion? (3 - 5 minutes)

3. Contextualization: The teacher should then explain that prefixes, besides being useful in everyday life, are essential in fields such as science, technology, engineering, and medicine. For example, doctors use prefixes to express the size of organs and tumors, engineers use them to measure engine power, etc. (2 - 3 minutes)

4. Engaging students' attention: To spark students' interest, the teacher can share curiosities or stories related to prefixes:

   • Curiosity 1: The prefix 'tera-' (10^12) is used to describe the size of a large amount of data, such as a terabyte (1 trillion bytes). The teacher can ask students if they know the storage capacity of their smartphones and then show how large that amount is compared to a byte, which is the smallest unit of data storage.

   • Curiosity 2: The prefix 'nano-' (10^-9) is used to describe very small things, like a nanometer, which is the unit of measure used to describe the size of atoms and molecules. The teacher can ask students how small a nanometer is and then show examples of things that have that size, like the diameter of a hair strand, which is about 80,000 to 100,000 nanometers. (3 - 5 minutes)

Development (20 - 25 minutes)

1. Cooking unit conversion activity (10 - 12 minutes)

   • Divide students into groups of 3 to 4 people.
   • Each group receives a recipe that contains measurements in different units: milliliters, liters, grams, kilograms, etc.
   • The challenge is to convert all measurements to a single unit chosen by the group, using the prefixes of the International System. For example, if the group chooses the unit of measure 'milliliters', they must convert all measurements in the recipe to milliliters, using the prefixes.
   • The teacher should circulate around the room, guiding the groups and clarifying doubts.
   • After the conversion, each group must explain to the rest of the class how they did the conversion and what was the chosen unit of measure.
   • This activity allows students to apply the concept of prefixes of the International System in a practical and meaningful way, as well as promoting collaboration and group discussion.

2. Construction unit conversion activity (10 - 12 minutes)

   • Still with the groups formed, the teacher should propose a second activity.
   • Each group receives a list of construction materials (for example, bricks, sand, cement) and their respective quantities, expressed in different units of measure (for example, centimeters, meters, kilograms, tons).
   • The challenge now is to convert all measurements to a single unit chosen by the group, again using the prefixes of the International System.
   • After the conversion, each group must present their answers and explain the conversion process to the rest of the class.
   • This activity allows students to apply the concept of prefixes of the International System in a practical context relevant to engineering and civil construction.

3. Group discussion (5 - 7 minutes)

   • After the activities, the teacher should lead a group discussion about the solutions found by the students and the difficulties encountered.
   • The teacher should reinforce the importance of the prefixes of the International System for the conversion between units of measure and for the standardization of measurement in different fields of knowledge.
   • This discussion allows students to reflect on what they have learned and clarify any doubts they may still have.

Return (8 - 10 minutes)

1. Group discussion (3 - 4 minutes)

   • The teacher should promote a general discussion with all students, where each group shares their solutions and conclusions from the activities carried out.
   • During this discussion, the teacher should encourage students to explain how the prefixes were used to convert the units of measure and to discuss the difficulties encountered.
   • This is an important moment to clarify any misunderstandings and reinforce the concepts learned.

2. Connection with theory (2 - 3 minutes)

   • The teacher should then make the connection between the practical activities and the theory of prefixes of the International System of Units.
   • For example, the teacher can highlight that the conversion of units of measure involves multiplication or division by powers of 10, and that prefixes are used precisely to simplify these operations.
   • It is important to emphasize that the correct understanding and use of prefixes are essential for the correct interpretation and manipulation of physical quantities.

3. Individual reflection (2 - 3 minutes)

   • To conclude the lesson, the teacher should propose that students reflect individually on what they have learned.
   • The teacher can ask questions like: 'What was the most important concept you learned today?' and 'What questions have not been answered yet?'.
   • Students should have a minute to think about these questions and then will be invited to share their answers with the class, if they wish.
   • This final reflection allows students to consolidate what they have learned and identify any gaps in their understanding, which can be addressed in future lessons.

4. Feedback and closure (1 minute)

   • The teacher should thank everyone for their participation and encourage students to continue studying the topic at home.
   • It is also important to provide constructive feedback to students, praising their efforts and progress and highlighting areas where they can improve.
   • The teacher can also remind students of any homework related to the lesson topic and when the next class on the subject will be.

Conclusion (5 - 7 minutes)

1. Summary of key points (2 - 3 minutes)

   • The teacher should start the Conclusion by summarizing the key points covered during the lesson. This includes the definition of prefixes, the explanation of how they are used in the International System of Units, and the practice of converting between units of measure using prefixes.
   • The teacher can use a scheme or diagram on the board to visualize the relationship between prefixes and powers of 10, thus reinforcing the idea that the conversion between units of measure involves multiplication or division by powers of 10.

2. Connection between theory, practice, and applications (1 - 2 minutes)

   • The teacher should then highlight how the lesson managed to connect theory (the concept of prefixes in the International System of Units) with practice (the activities of unit conversion) and real-world applications (examples of using prefixes in different fields, such as cooking and civil construction).
   • The teacher can reinforce the importance of understanding and being able to use the prefixes of the International System of Units for the correct interpretation and manipulation of physical quantities in different contexts.

3. Extra materials (1 minute)

   • The teacher can suggest additional reading or study materials for students who wish to delve deeper into the subject. This may include textbooks, educational websites, explanatory videos, etc.
   • The teacher can also indicate exercises or practice problems related to the lesson topic for students to solve at home, in order to consolidate what they have learned.

4. Importance of the subject (1 minute)

   • In conclusion, the teacher should emphasize the importance of the prefixes of the International System of Units in everyday life and in various areas of knowledge.
   • For example, the teacher can remind students that the correct interpretation of product labels, cooking recipes, equipment usage instructions, among others, often depends on understanding prefixes.
   • The teacher can also reinforce that knowledge and the ability to use prefixes correctly are valued in many professional fields, including science, engineering, medicine, etc.