Lesson Plan | Traditional Methodology | Area of Plane Figures: Unit Squares

Objectives

Duration: 10 to 15 minutes

This stage of the lesson aims to introduce students to the concept of area of plane figures in grid meshes, highlighting the importance of understanding and applying methods of counting squares to calculate the area. Additionally, it aims to prepare students for the practical activities and examples that will be presented throughout the lesson, ensuring that everyone has a solid foundation to follow the explanations and subsequent exercises.

Main Objectives

1. Understand the concept of area of plane figures using grid meshes.

2. Learn to calculate the area of plane figures by counting squares and pieces of squares.

3. Develop observation and counting skills to identify the area of different geometric figures.

Introduction

Duration: 10 to 15 minutes

The purpose of this stage is to spark students' interest in the topic of the lesson, connecting the concept of area to practical everyday situations and showing the relevance of this knowledge in the real world. It also aims to ensure that all students understand what area is and how it will be calculated using grid meshes, preparing them for the explanations and activities to come.

Context

📏 Begin the lesson by explaining to students that often we need to measure the space that something occupies, such as the size of a football field, a classroom, or even a sheet of paper. Explain that this measure of space is called area and that today they will learn a simple way to calculate the area of different figures using a grid mesh. Show an example of a grid mesh on the board so that everyone can visualize.

Curiosities

🧐 Did you know that architects use area calculations every day? When designing a house, for example, they need to know the area of each room to ensure everything fits perfectly and the space is well utilized. By calculating the area, they can plan where to place furniture, doors, and windows, and even how to save materials!

Development

Duration: 40 to 50 minutes

The purpose of this stage is to deepen students' understanding of calculating the area of plane figures using grid meshes. By addressing practical examples and guiding students in counting whole squares and pieces of squares, it seeks to ensure that everyone can correctly apply the learned concepts. This stage also promotes active student participation, encouraging problem-solving and practicing the developed skills.

Covered Topics

1. Introduction to the concept of area in grid meshes: Explain that area is the measure of the space occupied by a plane figure. Use a grid mesh to illustrate how to count the whole squares to determine the area of a simple figure, such as a rectangle or a square. 2. Counting whole squares: Show examples of geometric figures drawn on grid meshes and ask students to count the whole squares. Explain that each square represents a unit of area. 3. Counting pieces of squares: Explain that some figures may not occupy whole squares. Show how to count half a square or combine pieces to form whole squares. Give examples of more complex figures and guide students in counting pieces of squares. 4. Practical examples: Present various figures drawn on grid meshes and solve with the students, step by step, the counting of whole squares and pieces of squares to calculate the area of each figure. Encourage student participation by asking questions and checking if everyone understands.

Classroom Questions

1. How many whole squares are there in this figure? (Draw a simple figure on the board) 2. How can we calculate the area of this figure that has pieces of squares? (Draw a more complex figure on the board) 3. If a figure occupies 6 whole squares and 4 half squares, what is the total area of this figure?

Questions Discussion

Duration: 15 to 20 minutes

The purpose of this stage is to review and solidify students' learning by discussing the answers to the presented questions and reflecting on the methods used to calculate the area of plane figures. This discussion allows students to share their thought processes, clarify doubts, and deepen their understanding of the concepts addressed in the lesson, promoting collaborative and meaningful learning.

Discussion

• 📝 How many whole squares are there in this figure? - To answer this question, draw a simple figure on the board, such as a rectangle or a square, that covers a whole number of squares. Count the whole squares together with the students, explaining that each square represents a unit of area.

• 📝 How can we calculate the area of this figure that has pieces of squares? - Draw a more complex figure on the board that includes pieces of squares. Explain how to combine half a square to form whole squares. For example, two half squares combine to form one whole square. Count together with the students, guiding them in each step.

• 📝 If a figure occupies 6 whole squares and 4 half squares, what is the total area of this figure? - To solve this question, first count the whole squares (6) and then combine the half squares (2 whole squares, since 4 half squares form 2 whole squares). Add the areas to get the total area (6 + 2 = 8 units of area).

Student Engagement

1. 🤔 Why is it important to count whole squares and pieces of squares correctly? 2. 🤔 How can you check if your counting is correct? 3. 🤔 In what everyday situations could you use what you learned about calculating area? 4. 🤔 If a figure has areas that are neither whole squares nor half squares, how can you estimate the total area? 5. 🤔 How would you deal with figures that extend beyond the edge of the grid mesh?

Conclusion

Duration: 10 to 15 minutes

The purpose of this stage is to consolidate the knowledge acquired during the lesson, reviewing the main points addressed and reinforcing students' understanding of the importance and practical application of the learned concepts. This conclusion also aims to ensure that students leave the lesson with a clear and cohesive view of the studied content, ready to apply what they have learned in future situations.

Summary

• Understanding the concept of area as a measure of the space occupied by a plane figure.
• Using grid meshes to calculate the area of simple and complex geometric figures.
• Counting whole squares to determine the area.
• Counting and combining pieces of squares to obtain the total area.
• Guided resolution of practical examples to reinforce learning.

The lesson connected theory with practice by thoroughly explaining how to calculate the area of plane figures using grid meshes and then applying these concepts in practical examples. Students were able to visualize and actively participate in counting the squares, consolidating their understanding through guided exercises and interactive discussions.

Calculating area is an important practical skill that applies to various everyday situations, such as architecture, space planning, and organizing objects. Knowing how to calculate area helps students better understand the space around them and make informed decisions in daily situations, such as when decorating a room or arranging furniture in a living room.