Lesson Plan | Technical Methodology | Area: Triangle
| Keywords | Triangle Area, Base, Height, Formula, Construction, Engineering, Architecture, Design, Practice, Measurement, Equilateral Triangles, Isosceles Triangles, Scalene Triangles, Real Application, Job Market |
| Required Materials | Short video on the application of the triangle area formula, Projector or TV to display the video, Cardboard, Scissors, Rulers, Tape, Notebooks, Pencils, Eraser |
Objectives
Duration: 10 - 15 minutes
The purpose of this stage is to ensure that students understand the formula for calculating the area of a triangle and know how to apply it in different contexts. This is crucial for developing practical skills that are directly applicable in the job market, such as in engineering, architecture, and design. Additionally, this understanding facilitates problem-solving in real situations, promoting the ability for analysis and precise measurement.
Main Objectives
1. Understand the formula for calculating the area of a triangle: area equals base times height divided by two.
2. Apply the formula in different contexts to calculate the area of various triangles.
3. Develop practical skills in measuring the base and height of triangles in real situations.
Side Objectives
- Identify and differentiate the types of triangles based on their characteristics.
Introduction
Duration: 10 - 15 minutes
The purpose of this stage is to contextualize students about the importance of the topic, connecting it to real situations and the job market. This sparks interest and curiosity, preparing them for the practical and applied learning that will be developed throughout the lesson.
Contextualization
Triangles are present in various structures around us, from the pyramids of Egypt to modern architecture. Understanding how to calculate the area of a triangle is essential for various practical applications, such as in construction, where it's necessary to calculate the amount of materials to cover triangular surfaces, or in graphic design, where triangular shapes are often used to create patterns and illustrations.
Curiosities and Market Connection
- Construction: Engineers and architects use the calculation of triangle areas to design and build stable and efficient structures.
- Technology: Many device screens use triangular-shaped pixels to improve image resolution.
- Nature: Crystals and some minerals naturally form triangular structures due to their molecular composition.
Initial Activity
Show a short 3-minute video demonstrating how the triangle area formula is applied in bridge construction projects. Then, ask the students: 'How do you think knowledge of the area of triangles can help in building a safe bridge?'
Development
Duration: 60 - 70 minutes
The purpose of this stage is to provide students with a practical and applied understanding of calculating the area of a triangle. By constructing models and making measurements, students develop essential skills for the job market in areas such as engineering and architecture. Additionally, the reflection and fixation exercises ensure that concepts are solidified, promoting meaningful and lasting learning.
Covered Topics
- Formula for calculating the area of a triangle: area equals base times height divided by two.
- Identifying base and height in different types of triangles.
- Practical application of the formula in real contexts.
Reflections on the Theme
Guide students to reflect on how the calculation of the area of a triangle can be applied in their daily lives. Ask: 'Can you think of situations in everyday life or professions where it would be necessary to calculate the area of a triangle?' Encourage students to discuss among themselves and share examples, highlighting the practical relevance of the topic.
Mini Challenge
Building Triangles in Practice
Students will construct models of triangles using simple materials and measure their areas.
Instructions
- Divide the class into small groups of 3 to 4 students.
- Distribute materials such as cardboard, scissors, rulers, and tape to each group.
- Each group must construct three different types of triangles: equilateral, isosceles, and scalene.
- Once constructed, the students should measure the base and height of each triangle.
- The students will then calculate the area of each triangle using the formula learned.
- Finally, each group will present their triangles and area calculations to the class, explaining the process they followed.
Objective: Develop practical skills in constructing and measuring triangles, and apply the area formula in real situations.
Duration: 35 - 40 minutes
Evaluation Exercises
- Calculate the area of a triangle with a base of 8 cm and a height of 5 cm.
- An isosceles triangle has a base of 10 cm and a height of 6 cm. What is its area?
- Draw a scalene triangle in your notebook, measure the base and height, and calculate its area.
- Explain how the formula for the area of a triangle can be applied in the construction of a bridge.
Conclusion
Duration: 10 - 15 minutes
The purpose of this stage is to ensure that students consolidate the knowledge acquired during the lesson, understanding the relevance of the topic both in the academic context and in the job market. Through discussion and reflection, students can better internalize the concepts learned, recognizing their practical application and the importance of developing technical and analytical skills.
Discussion
Facilitate an open discussion about the activities undertaken during the lesson. Ask students how they felt about building and measuring triangles, and if they encountered any difficulties. Encourage them to share their experiences and challenges, and how they resolved the problems they faced. Highlight the importance of applying the triangle area formula in various practical and professional situations, reinforcing the connection between theory and practice.
Summary
Recap the main content covered in the lesson, including the formula for the area of a triangle (area equals base times height divided by two), identifying base and height in different types of triangles, and the practical application of the formula. Reiterate how these concepts are fundamental in areas such as engineering, architecture, and design, and how they were applied during the construction and measurement of triangles.
Closing
Explain that the lesson connected theory, practice, and applications by allowing students to construct their own triangles, measuring their bases and heights, and calculating areas. Emphasize how these skills are valuable not only in the school context but also in real situations and in the job market. Conclude by highlighting the importance of understanding and applying the formula for the area of a triangle in various professions and daily life, encouraging students to continue exploring the topic.
