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

Objectives

Duration: 10 - 15 minutes

The purpose of this stage is to introduce students to the concept of calculating area using unit squares, emphasizing the development of practical skills in mathematics. This introduction is essential not only for theoretical understanding but also for practical application in real-life situations, connecting learning to the job market and daily activities.

Main Objectives

1. Calculate the area of flat shapes drawn on a grid.

2. Count squares or pieces of squares to determine the area.

Side Objectives

Introduction

Duration: 10 - 15 minutes

The purpose of this stage is to introduce students to the concept of calculating area using unit squares, emphasizing the development of practical skills in mathematics. This introduction is essential not only for theoretical understanding but also for practical application in real-life situations, connecting learning to the job market and daily activities.

Contextualization

Imagine you are in a park and want to know the total area of the space where people can have picnics. To do this, we need to learn how to calculate the area of flat shapes. This calculation is very useful for various everyday situations, such as determining the amount of grass needed to cover a field or the amount of paint to paint a wall.

Curiosities and Market Connection

Did you know that architects and engineers use area calculations every day in their projects? Knowing how to calculate the area of flat shapes is essential for planning the construction of houses, buildings, and even stadiums! Moreover, knowledge about areas is fundamental for professionals working in interior design and landscaping, as they need to determine the available space for furniture, plants, and other decorations.

Initial Activity

To start our lesson, let's watch a brief 3-minute video showing how architects use area calculations in their projects. After the video, ask the students: 'How do you think calculating the area can help in planning a house or a park?' Encourage them to share their ideas.

Development

Duration: 60 - 70 minutes

The purpose of this stage is to allow students to apply the concepts of area calculation in practical activities, promoting understanding and retention of content in a playful and collaborative way. Through the construction of a miniature city and solving exercises, students develop essential skills for the job market, such as calculation ability, teamwork, and practical application of mathematical knowledge.

Covered Topics

1. Concept of area using unit squares
2. Counting whole squares and pieces of squares
3. Practical application of area calculation

Reflections on the Theme

Reflection on the Theme: Guide students to think about how area calculations can be useful in their daily lives and future professions. Ask: 'How do you think knowledge of area calculation can help in projects like building a house or organizing a park?' Encourage them to reflect on the importance of area calculation in different contexts and professions, such as architecture, engineering, interior design, and even gardening.

Mini Challenge

Building a Miniature City

Students will build a miniature city using graph paper. They will need to draw different flat shapes (houses, parks, buildings) and calculate the area of each shape using unit squares.

Instructions

1. Divide the class into small groups of 3 to 4 students.
2. Distribute sheets of graph paper, colored pencils, rulers, and scissors to each group.
3. Explain that each group should create a miniature city by drawing different flat shapes on the graph paper.
4. Each shape should be colored and cut out, then glued onto a poster to form the city.
5. After drawing and cutting out the shapes, students must calculate the area of each shape drawn by counting whole squares and pieces of squares.
6. Ask each group to present their city, explaining how they calculated the area of the shapes drawn.

Objective: Develop the ability to calculate the area of flat shapes using unit squares, while also promoting teamwork and the practical application of learned concepts.

Duration: 40 - 50 minutes

Evaluation Exercises

1. Distribute exercise sheets with different shapes drawn on a grid. Ask students to calculate the area of each shape drawn.
2. Propose a problem where students must calculate the total area of a garden made up of different sections (rectangles, squares, and triangles) drawn on a grid.
3. Ask students to draw their own shapes on graph paper and exchange them with a classmate to calculate the area of the shape drawn by the other.

Conclusion

Duration: 10 - 15 minutes

The purpose of this stage is to consolidate the knowledge gained by students, reinforcing the importance of area calculation both in theory and practice. The conclusion also aims to promote reflection on the real applications of the content, encouraging students to recognize the usefulness of what they have learned in their daily lives and future professions.

Discussion

Promote a discussion among students about how they applied the concepts of area calculation during the lesson. Ask: 'What did you find easiest or hardest when calculating the area of the shapes? How did teamwork help in understanding the topic?'. Encourage them to share their experiences and challenges faced during the construction of the miniature city and in solving the exercises.

Summary

Recap the main content covered in the lesson: the concept of area using unit squares, counting whole squares and pieces of squares, and the practical application of this knowledge in building a miniature city. Emphasize the importance of area calculation in daily activities and in various professions.

Closing

Conclude the lesson by highlighting how practice and theory were connected. Explain that the knowledge gained today is fundamental not only for school mathematics but also for everyday activities and future professions. Emphasize that architects, engineers, designers, and many other professionals use these concepts daily.