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Lesson plan of Volume: Contextualized Rectangular Prism

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Lara from Teachy


Mathematics

Original Teachy

Volume: Contextualized Rectangular Prism

Lesson Plan Teknis | Volume: Contextualized Rectangular Prism

Palavras ChaveVolume, Right prisms, Rectangular prisms, Water tank, Cistern, Practical mathematics, Logistics, Construction, Practical activities, Applied skills, Job market, Reflection, Mini challenges
Materiais NecessáriosVideo on space optimization in warehouses (2-3 minutes), Recyclable materials (cardboard boxes, PET bottles), Scissors, Glue, Ruler, Tape

Objective

Duration: 10 - 15 minutes

This stage aims to give students a clear and practical understanding of volume concepts, particularly focusing on right prisms with triangular bases and rectangular prisms. Mastery of this knowledge is essential for real-world applications, allowing students to tackle practical problems like calculating the volume of water tanks or cisterns, which are highly relevant skills in today’s job market. This hands-on approach ensures students not only grasp the theory but also learn how to apply it in real-world scenarios.

Objective Utama:

1. Calculate the volume of right prisms with triangular bases and rectangular prisms.

2. Solve real-life problems involving volume calculations, such as water tanks or cisterns.

Objective Sampingan:

  1. Develop practical skills and logical reasoning.
  2. Encourage the application of knowledge in everyday situations and the job market.

Introduction

Duration: 10 - 15 minutes

This stage serves to engage students and illustrate the practical relevance of the topic at hand. By linking the concept with real-life scenarios and its relevance in the job market, students will appreciate the significance of mastering volume concepts, thereby boosting their interest and involvement in the lesson.

Curiosities and Market Connection

📦 Fun Fact: Did you know that e-commerce giants like Amazon use volume calculations to make the most of warehouse space and minimize shipping costs? 📈 Market Connection: In the construction sector, calculating the volume of water tanks and cisterns is a crucial skill. Architects and engineers rely on this expertise to design efficient water storage systems that are essential for sustainable and economically viable buildings.

Contextualization

Volume is an essential measure in many aspects of our daily lives. For example, understanding how to calculate the volume of a water tank is vital to ensure it meets the requirements for a household or commercial space. Similarly, knowing packaging volumes helps in logistics and product distribution, optimizing both space and costs.

Initial Activity

🎥 Initial Activity: Show a short video (2-3 minutes) highlighting the importance of space optimization in the warehouses of large logistics companies. After watching, pose the following thought-provoking question to the students: 'How can volume calculations influence a company's efficiency and costs?'

Development

Duration: 60 - 65 minutes

This stage ensures that students have a deep comprehension of volume concepts and can apply them in practical scenarios. Through collaborative tasks and exercises, students will reinforce their learning and see how volume calculations affect real-life situations.

Topics

1. Definition of volume

2. Volume formula for right prisms with triangular bases

3. Volume formula for rectangular prisms

4. Practical application in everyday problems

Thoughts on the Subject

Encourage students to think about how volume calculations are utilized in various professions, especially in logistics and construction. Ask: 'In what ways can understanding volume aid us in daily tasks and different careers?'

Mini Challenge

Constructing a Water Tank

Students will work in groups to create a model of a water tank using recyclable materials. They will need to calculate the volume of their tank to ensure it fulfills a specified water storage requirement.

1. Divide students into groups of 4-5 members.

2. Provide recyclable materials such as cardboard boxes, PET bottles, scissors, glue, rulers, and tape.

3. Each group must design and build a model water tank that can hold at least 2 liters of water.

4. Students should calculate the volume of the constructed water tank using the formulas they have learned.

5. Each group will present their model to the class, explaining the building process and their volume calculations.

Utilize knowledge of volume to create a tangible object, fostering teamwork and a practical grasp of the concept.

**Duration: 40 - 45 minutes

Evaluation Exercises

1. Calculate the volume of a right prism with a triangular base with the following dimensions: base = 4 cm, height of the base = 3 cm, height of the prism = 10 cm.

2. A rectangular prism has the dimensions: length = 8 cm, width = 5 cm, height = 4 cm. What is its volume?

3. A water tank is shaped like a right prism with a triangular base. If the base of the triangle measures 6 m, height of the triangle is 4 m, and the height of the prism is 3 m, what is the water tank's volume?

4. A cistern shaped as a rectangular prism has dimensions of 2 m length, 1.5 m width, and 1 m height. Calculate the volume of the cistern.

Conclusion

Duration: 10 - 15 minutes

This stage aims to solidify students' learning, ensuring they grasp the importance and practical implications of volume concepts. By summarizing and discussing the presented content, students will have an opportunity to reflect on their learning and consider how they can apply this knowledge in various scenarios.

Discussion

💬 Discussion: Lead a conversation with students about their experience calculating and constructing the water tank model. Ask about the main challenges they faced and how they overcame them. Encourage students to reflect on how volume knowledge can be employed beyond construction and logistics, such as in healthcare for medication dosages or in cooking for ingredient measurements.

Summary

📚 Summary: Recap key points discussed throughout the lesson, including the definition of volume, formulas for calculating the volumes of right prisms with triangular bases and rectangular prisms, and their practical relevance to real-life problems. Emphasize the significance of understanding and calculating volumes to address real-world challenges.

Closing

🔍 Closing: Elaborate on how the lesson harmoniously bridged theory and practice through the engaged activities. Highlight how constructing the model and working through fixation exercises allowed students to implement their knowledge in practical situations. Stress the importance of volume calculations across various professions and disciplines, demonstrating how this skill is sought after in the job market.


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