Lesson Plan | Active Learning | Area: Rectangle and Parallelogram

Assumptions: This Active Lesson Plan assumes: a 100-minute class, prior student study with both the Book and the start of Project development, and that only one activity (among the three suggested) will be chosen to be conducted during the class, as each activity is designed to take up a significant portion of the available time.

Objectives

Duration: (5 - 10 minutes)

This stage of the lesson plan is essential to establish the foundations that will guide the practice and application of the concepts of area of rectangles and parallelograms. By formulating clear objectives, students will have a more precise understanding of what is expected of them and how they will be evaluated. This helps to better direct focus during activities and maximize the use of time in the classroom.

Main Objectives:

1. Empower students to calculate the area of rectangles and parallelograms using the formula S = b x h.

2. Develop skills to solve practical problems involving area calculations, such as that of a plot of land, using concepts of rectangles and parallelograms.

Side Objectives:

1. Encourage critical thinking and the application of mathematical knowledge in everyday situations.

Introduction

Duration: (15 - 20 minutes)

The introduction serves to engage students with practical and everyday situations that illustrate the relevance of calculating areas of rectangles and parallelograms. By proposing problems that students may have already encountered in their lives or that are easily visualizable, they can connect prior theoretical knowledge with practical application, increasing motivation and interest in the subject. The contextualization with real examples reinforces the importance of what will be learned, clearly showing how these concepts are used in the professional and everyday world.

Problem-Based Situations

1. Imagine you are helping your family plan a renovation of the backyard. What steps would be needed to calculate the area of the land, which is in the shape of a parallelogram?

2. If you were a farmer and needed to divide your field into rectangular sections for different types of crops, how would you calculate the area of each section to maximize land use?

Contextualization

The area of rectangles and parallelograms is crucial in many real-world situations, from space design to agriculture and architecture. For example, architect Frank Lloyd Wright was famous for integrating nature into his designs, often using proportions based on geometric shapes like rectangles and parallelograms. Additionally, the ability to calculate areas is fundamental for many professionals, such as urban planners and engineers, who need to optimize spaces and resources.

Development

Duration: (75 - 80 minutes)

The development stage is designed for students to practically and collaboratively apply the area calculation concepts of rectangles and parallelograms they have studied. Working in groups, they not only practice math, but also develop communication, collaboration, and critical thinking skills. Through playful and contextualized activities, this stage aims to ensure that students understand and can apply area concepts in real-world situations, preparing them to face practical and theoretical challenges.

Activity Suggestions

It is recommended to carry out only one of the suggested activities

Activity 1 - Architects in Action

> Duration: (60 - 70 minutes)

- Objective: Apply the area calculation of a parallelogram in a practical context of interior design.

- Description: Students will be divided into groups of up to 5 people and tasked with designing a new classroom in a space that has the shape of a large parallelogram. They will need to calculate the total area of the space and then decide how to distribute the areas of different zones (study area, storage area, circulation area) to optimize the use of space.

- Instructions:

• Form groups of up to 5 students.

• Measure the dimensions of the available space on the provided floor plan.

• Calculate the total area of the space, considering it is a parallelogram.

• Decide how to distribute the areas for the different zones of the classroom.

• Draw a sketch of the new classroom, showing the zones and the calculated dimensions.

• Prepare a presentation for the rest of the class explaining the decisions made and the calculations performed.

Activity 2 - Mathematical Farmers

> Duration: (60 - 70 minutes)

- Objective: Develop skills in calculating the area of rectangles to maximize agricultural production.

- Description: In this activity, students, organized in groups, will take on the role of farmers who need to divide a field into different areas for growing corn and beans. They will use the concept of area of rectangles to optimize production, ensuring that each plant receives the appropriate space.

- Instructions:

• Divide the class into groups of up to 5 students.

• Each group receives a field of specific dimensions to divide.

• Calculate the total area of the field, which is a rectangle.

• Decide the proportion of area for each crop (corn and beans).

• Divide the field into smaller rectangles according to the cultivation decisions.

• Present the planting plan, justifying the decisions with calculations of area and planting efficiency.

Activity 3 - Land Challenge

> Duration: (60 - 70 minutes)

- Objective: Utilize the area calculation in real lands to solve a practical engineering problem.

- Description: Students, in groups, will receive a description of an irregular plot of land, with areas that need to be fenced with new fencing. They will need to calculate the total area of the land and consider measures to avoid material waste, such as cutting the fence into segments that best fit the shapes of the land.

- Instructions:

• Group students into teams of up to 5 members.

• Read the description of the land provided for each group.

• Calculate the total area of the land, which may include rectangular parts and parallelograms.

• Plan the arrangement of the fences to maximize efficiency and minimize material waste.

• Draw a sketch of the land with the arrangement of the fences and present your solution to the rest of the class.

• Justify the design decisions with calculations of area and efficiency.

Feedback

Duration: (10 - 15 minutes)

The goal of this stage is to allow students to reflect on what they learned and how they applied the concepts of area of rectangles and parallelograms. The group discussion helps consolidate knowledge, allowing students to articulate their experiences and learn from their peers' approaches. Additionally, the key questions serve to assess students' understanding and reinforce the importance of the content learned in real-world situations.

Group Discussion

At the end of the practical activities, organize a group discussion with all students. Ask each group to share their discoveries, challenges encountered, and solutions applied. Start the discussion with a brief introduction: 'Now that everyone has had the opportunity to explore and apply area concepts in practical situations, let's share what we learned. Each group will have a few minutes to present what they did and discuss the strategies used. Let's start with group 1, and then continue with the others.'

Key Questions

1. What were the biggest challenges in calculating the areas of the proposed spaces and how did you overcome them?

2. Was there any situation where you had to adjust the initial calculations? How did that affect the final project?

3. How can area calculation skills be applied in other everyday situations or subjects?

Conclusion

Duration: (5 - 10 minutes)

The conclusion stage is crucial to ensure that students have consolidated the knowledge gained during the lesson, relating theory and practice in a clear and understandable way. By summarizing the main points, the lesson ends with a clear understanding of the content and its applicability, and students can visualize how what they learned applies in real situations, thereby increasing their motivation and engagement with mathematics.

Summary

To summarize, the teacher should underline the main concepts covered during the lesson, emphasizing the area formula for rectangles and parallelograms (S = b x h) and how this was applied in different practical contexts, such as in interior design, agriculture, and engineering.

Theory Connection

The teacher should explain how today's lesson connected theory with practice, highlighting the importance of understanding mathematical concepts to solve everyday and professional problems. It should be mentioned how group activities allowed for the direct application of theoretical knowledge in practical and realistic scenarios.

Closing

Finally, it is essential to highlight the relevance of calculating areas of rectangles and parallelograms in daily life, reinforcing how these skills are utilized in various fields, such as in architecture, engineering, agriculture, and even in organizing domestic spaces. This connection with real applications serves to motivate students, showing the importance of what they learned beyond the classroom walls.