Lesson Plan | Traditional Methodology | Basic Area Formula

Objectives

Duration: (10 - 15 minutes)

The purpose of this stage is to introduce students to the fundamental concepts needed to calculate the area of basic geometric shapes. By understanding the objectives, students will be aware of the learning goals and what is expected of them by the end of the lesson. This stage prepares students for the detailed content that will be explored, facilitating the assimilation of formulas and their application in practical problems.

Main Objectives

1. Calculate the area of basic shapes such as triangles, squares, and rectangles.

2. Solve problems involving the calculation of the areas of triangles, squares, and rectangles.

Introduction

Duration: (10 - 15 minutes)

The purpose of this stage is to prepare students for the content that will be explored, connect the theme to the real world, and spark students' interest. By understanding the importance and practical applications of area calculation, students will be more engaged and motivated to learn.

Context

To start the lesson on the basic area formula, begin by explaining to students that calculating the area of shapes is a practical and essential skill in everyday life. Say that the area helps us understand the space that a shape occupies, whether in drawings, constructions, or even when covering a surface with tiles or paint.

Curiosities

Did you know that the ancient Egyptians already used formulas to calculate the area of geometric shapes? They needed to measure the area of agricultural land to calculate taxes and plan harvests! Nowadays, calculating area is crucial in various professions, such as architecture, engineering, and interior design.

Development

Duration: (40 - 50 minutes)

The purpose of this stage is to provide students with the necessary tools to confidently calculate the area of basic geometric shapes. During the development, students will learn the specific formulas for each type of shape and have the opportunity to see the practical application of these formulas in real-world problems. This will ensure a robust understanding and the ability to apply these concepts in various situations.

Covered Topics

1. Area of Rectangles and Squares : Explain that the area of a rectangle is calculated by multiplying the width by the height (A = W x H). Show that for a square, which is a special case of a rectangle, the formula simplifies to A = L² (since the sides are of equal length). Provide practical examples, such as calculating the area of a room or a book. 2. Area of Triangles : Explain that the area of a triangle is calculated by multiplying the base by the height and dividing by 2 (A = (B x H) / 2). Show the difference between equilateral, isosceles, and scalene triangles, but emphasize that the area formula is the same for all. Present practical examples, such as calculating the area of a triangular plot of land. 3. Application in Practical Problems 燐: Present everyday problems that involve calculating areas, such as determining the amount of paint needed to paint a wall or the amount of grass to cover a garden. Solve the problems step by step on the board, encouraging students to follow along and take notes on the steps.

Classroom Questions

1. Calculate the area of a rectangle that has a width of 5 meters and a height of 3 meters. 2. A square has sides of 4 meters. What is the area of this square? 3. A triangle has a base of 6 meters and a height of 4 meters. Calculate the area of this triangle.

Questions Discussion

Duration: (20 - 25 minutes)

The purpose of this stage is to consolidate students' learning by reviewing the answers to the proposed problems and ensuring that everyone understands the methods used to calculate the area of basic geometric shapes. The detailed discussion of solutions allows students to review the steps and clarify doubts, while reflective questions help connect the content learned with practical and personal applications, promoting meaningful learning.

Discussion

• Calculate the area of a rectangle that has a width of 5 meters and a height of 3 meters. First, remind them of the area formula for rectangles: A = Width x Height. Substitute the provided values: A = 5m x 3m. Perform the multiplication: A = 15m². Explain that the area of the rectangle is 15 square meters.

• A square has sides of 4 meters. What is the area of this square? Remind them that the formula for the area of a square is: A = Side². Substitute the provided value: A = 4m x 4m. Perform the multiplication: A = 16m². Explain that the area of the square is 16 square meters.

• A triangle has a base of 6 meters and a height of 4 meters. Calculate the area of this triangle. Remind them of the area formula for triangles: A = (Base x Height) / 2. Substitute the provided values: A = (6m x 4m) / 2. Perform the multiplication and then the division: A = 24m² / 2 = 12m². Explain that the area of the triangle is 12 square meters.

Student Engagement

1. Why is it important to know how to calculate the area of different geometric shapes? (Reflect on the practical importance of this knowledge) 2. Can you think of a situation in your daily life where it would be useful to know how to calculate the area of a geometric figure? (Connect learning to students' realities) 3. What was the most challenging part of solving the area problems? How can we make this part easier? (Identify difficulties and propose solutions) 4. Would anyone like to share another practical example where area calculation is necessary? (Encourage sharing of ideas and examples)

Conclusion

Duration: (10 - 15 minutes)

The purpose of this stage is to review and consolidate learning, ensuring that students understand and retain the main concepts presented. The conclusion also reinforces the connection between theory and practice, highlighting the relevance of the content to students' daily lives.

Summary

• The area of a rectangle is calculated by multiplying the width by the height (A = W x H).
• The area of a square is calculated by multiplying the side by itself (A = L²).
• The area of a triangle is calculated by multiplying the base by the height and dividing by 2 (A = (B x H) / 2).
• Practical problems were solved to show the application of area formulas in real situations.

The lesson connected theory with practice by demonstrating how area formulas are used to solve real problems, such as calculating the area of a room, a book, a triangular plot of land, or determining the amount of paint or grass needed to cover a surface. This showed students the relevance and applicability of the formulas in everyday life.

Knowing how to calculate the area of different geometric figures is a practical and important skill, not only in many professions, such as architecture, engineering, and interior design, but also in everyday situations, such as planning the decoration of a space or estimating materials for renovations. In addition, the curiosity about the ancient Egyptians demonstrates the long history and importance of this knowledge.