Lesson Plan | Active Learning | Area of Plane Figures: Unit Squares

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)

The objectives stage is crucial for directing the focus of both students and teachers towards the learning goals of the lesson. By clearly establishing what is expected to be achieved, students can better prepare for practical activities in class, ensuring that the theory studied beforehand is applied effectively and consolidated. This stage also serves to align expectations and ensure that all parties involved are aware of the expected outcomes.

Main Objectives:

1. Empower students to calculate the area of flat figures using the counting of squares on a grid.

2. Develop students' spatial visualization and manipulation skills through practical exercises.

Side Objectives:

1. Encourage collaboration and communication among students during group practical activities.

Introduction

Duration: (15 - 20 minutes)

The introduction serves to engage students and contextualize the importance of studying unit squares on grids. Through problem situations, students are encouraged to apply prior knowledge practically and think critically about how to solve real problems. The contextualization helps connect mathematical content with everyday situations, increasing interest and relevance of the learning.

Problem-Based Situations

1. Imagine a farmer wants to build a rectangular fence to separate different animals. He has a grid that represents the land, and he needs to know how many meters of fence he will need. How could you help him calculate the exact amount of fence needed?

2. An architect is designing a new square in the city. He drew the square on a grid to get an idea of the dimensions. The project managers need to know the total area to calculate the flooring cost. How could you, junior mathematicians, help in calculating the area of the square?

Contextualization

Unit squares on a grid not only serve as an abstract mathematical tool but have practical and real-world applications. For example, architects use these techniques to design buildings and public spaces, while interior designers can use the same technique to plan the layout of a room. Additionally, understanding how to calculate areas using figures on grids can be a useful skill in everyday life, such as measuring and planning gardens or dividing a pizza fairly among friends.

Development

Duration: (70 - 75 minutes)

The Development stage is designed to allow students to practically and collaboratively apply the concepts of area of flat figures, specifically using the counting of squares on grids. The proposed activities aim to not only reinforce theoretical learning but also develop teamwork, communication, and critical thinking skills. Each activity is structured to be done in groups, encouraging idea exchange and collaboration among students.

Activity Suggestions

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

Activity 1 - The Magical Squares Park

> Duration: (60 - 70 minutes)

- Objective: Apply the concept of area of flat figures in a practical and playful situation, developing teamwork and communication skills.

- Description: Students will be divided into groups of up to 5 people. Each group will receive a blueprint of an amusement park on a grid, where each cell represents 1 square meter. They will need to calculate the area of different sections of the park, such as the skating rink, gardens, and food stalls.

- Instructions:

• Form groups of up to 5 students.

• Analyze the blueprint of the Magical Squares Park and identify the different areas to be calculated.

• Use the technique of counting squares to calculate the area of each section.

• Prepare a brief presentation for the rest of the class, explaining how you calculated and what the areas of each part of the park are.

Activity 2 - Dream Builders: Planning the Ideal Neighborhood

> Duration: (60 - 70 minutes)

- Objective: Develop planning and area calculation skills, promoting teamwork and creativity in solving urban problems.

- Description: Students, in groups, will receive a grid that represents an urban terrain. They must plan the layout of a neighborhood, considering residential, commercial, and leisure areas. The challenge is to calculate the total area of each zone and optimize space usage.

- Instructions:

• Divide into groups of up to 5 students.

• Receive the grid representing the terrain.

• Plan the layout of the neighborhood, considering residential, commercial, and leisure areas.

• Calculate the area of each zone and the total area of the neighborhood.

• Develop an argument justifying space usage and present it to the class.

Activity 3 - Square Pizza Mission

> Duration: (60 - 70 minutes)

- Objective: Apply area concepts in everyday situations, promoting logical reasoning and estimation skills.

- Description: In this activity, student groups will be tasked with planning a pizza party. They will need to calculate how many pizzas of different sizes (small, medium, and large) will be necessary to feed all guests, using a grid to simulate the pizzas and calculate the area of each.

- Instructions:

• Organize into groups of up to 5 students.

• Receive the guest list and decide how many guests each pizza size can feed.

• Use the grid to draw and calculate the area of each pizza.

• Calculate how many pizzas of each size will be needed for the party.

• Prepare a final report with your calculations and present it to the class.

Feedback

Duration: (15 - 20 minutes)

The purpose of this stage is to consolidate students' learning through reflection and sharing of experiences. By discussing in groups, students have the opportunity to verbalize what they learned, which can aid in knowledge retention and identifying areas needing more attention. Furthermore, listening to the experiences of other groups can provide new perspectives and insights, enriching everyone's learning.

Group Discussion

To start the group discussion, the teacher may ask each group to share their discoveries and challenges faced during the activities. Encourage students to discuss what they learned about counting squares on grids and how it applies to real-world situations. A 'roundtable' approach can be used, where each group presents an interesting aspect or a difficulty overcome, and other groups can comment or ask questions.

Key Questions

1. What were the main difficulties you encountered when calculating areas using the grid?

2. How would you apply the concept of counting squares to solve other area problems in different contexts?

3. How did teamwork help in carrying out the activities and understanding the content?

Conclusion

Duration: (5 - 10 minutes)

The purpose of this stage is to ensure that students have a clear and consolidated understanding of the concepts addressed during the lesson, connecting the theoretical content to the practical activities conducted. Additionally, it seeks to reinforce the importance and applicability of mathematical knowledge in daily life, encouraging students to perceive mathematics as a useful and relevant tool.

Summary

In this final stage, the teacher should summarize the main points addressed, reinforcing the importance of counting squares on grids for calculating areas of flat figures. The techniques used and the results obtained in practical activities should be recapitulated, ensuring that all students have a clear understanding of the concepts.

Theory Connection

Explain how today's lesson connected theory with practice, highlighting the activities carried out in class that simulated real situations, such as planning an amusement park, an urban neighborhood, and a pizza party. Emphasize how the direct application of knowledge in practical scenarios helped solidify the understanding of mathematical concepts.

Closing

Finally, highlight the relevance of studying unit squares on grids in daily life, such as in architecture, interior design, and even in simple activities like dividing spaces or planning events. Reinforce that mathematics is present in various daily activities and that today's learning has practical and meaningful applications.