Lesson Plan | Active Learning | Flat Figures: Introduction

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 minutes)

The Objectives stage is crucial for clearly establishing what is expected of students to achieve by the end of the class. By defining specific and measurable objectives, the teacher directs both their planning and the students' attention, ensuring that all efforts are focused on developing essential skills for recognizing and identifying flat figures.

Main Objectives:

1. Ensure that students recognize and can name the main flat figures, such as the square and the circle.

2. Empower students to identify the fundamental characteristics of each flat figure studied.

Side Objectives:

1. Encourage active participation from students during practical activities to reinforce learning.

Introduction

Duration: (15 - 20 minutes)

The Introduction serves to connect the content that students studied at home with practical applications in real life, increasing interest and relevance of learning. The problem situations encourage activation of prior knowledge, while contextualization highlights the importance of flat figures in everyday life, stimulating curiosity and laying the groundwork for practical activities.

Problem-Based Situations

1. Imagine that you have a rectangular piece of paper and need to divide it into equal squares to make a game board. How would you ensure that all the squares are the same size?

2. Think of a round cake that your grandmother makes for your birthday. If she decides to cut it into slices, how does she ensure that all the slices are the same size?

Contextualization

Flat figures are more than mathematical concepts; they are present in many situations in our daily lives. From using a notebook with rectangular pages to eating a pizza divided into triangles, flat figures are everywhere. Knowing these shapes and their characteristics helps not only in mathematics but also in practical skills such as organization and planning.

Development

Duration: (75 - 80 minutes)

The Development stage is designed to place students in practical situations that require the application of prior knowledge about flat figures. By working in groups, students are encouraged to collaborate, communicate their ideas, and solve problems creatively, consolidating learning in a fun and meaningful way. Each proposed activity aims to explore different aspects of flat figures, from their identification to their application in practical and everyday contexts, ensuring a holistic understanding of the subject.

Activity Suggestions

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

Activity 1 - Geometric City Builders

> Duration: (60 - 70 minutes)

- Objective: Apply knowledge about flat figures in practice, developing planning and collaboration skills.

- Description: In this activity, students will be divided into groups and will receive materials such as popsicle sticks, play dough, and colored paper. They will use these materials to build replicas of cities based on flat figures, such as squares, rectangles, circles, and triangles. Each group will have to plan and construct buildings, streets, and parks, using the features of the figures to organize them.

- Instructions:

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

• Distribute the construction materials to each group.

• Ask each group to plan their city by sketching the outline on paper before starting construction.

• Guide the students to use flat figures as the basis for building different parts of the city.

• At the end, each group will present their city and explain how the flat figures were used in planning and construction.

Activity 2 - The Mystery of Geometric Maps

> Duration: (60 - 70 minutes)

- Objective: Develop creativity and practical knowledge of the characteristics of flat figures in map construction.

- Description: The students, in groups, will receive the mission to create a map of an unknown island using flat figures. Each group will need to draw the outline of the island using circles, squares, rectangles, and triangles, and then add elements such as mountains, rivers, and cities, also using these flat figures. The challenge will be to create a map that is aesthetically pleasing and that uses the characteristics of the figures intelligently.

- Instructions:

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

• Provide large paper and colored markers for each group.

• Explain that they must draw the map of an island, using only flat figures.

• Guide the groups to think creatively, using the characteristics of each figure to represent different geographical elements.

• At the end, each group will present their map, explaining the reasoning behind the choice of shapes to represent each part of the island.

Activity 3 - Math Pizza Party

> Duration: (60 - 70 minutes)

- Objective: Apply concepts of fractions and flat figures in a playful and practical way, developing teamwork and communication skills.

- Description: Students, organized into groups, will plan and 'cook' pizzas by dividing each one into different shapes using flat figures. They will have cardboard disks as a base and must cut the cardboard into shapes that represent different fractions (circles, triangles, squares) to simulate pizza slices. Each group will also create a 'menu' with the fractions represented, describing the size and flavor of each slice.

- Instructions:

• Group the students into teams of up to 5 members.

• Distribute cardboard disks, scissors, and markers to each group.

• Explain that they should cut the cardboard into shapes representing fractions, such as 1/2, 1/4, 1/8, etc.

• Guide the students to create a menu for their pizza, where each slice is described in terms of fraction and flavor.

• Each group will present their pizza and menu, explaining the fractions used and the reasoning behind cutting the slices.

Feedback

Duration: (15 - 20 minutes)

The purpose of this feedback stage is to allow students to reflect on what they learned and how they applied their knowledge of flat figures during the practical activities. The group discussion helps consolidate learning, allowing students to articulate their thoughts and hear different approaches from peers. Moreover, the key questions are designed to evaluate student understanding and identify any areas that may require further explanation or review.

Group Discussion

To start the group discussion, the teacher may ask each group to briefly share how they approached the activity and what challenges they encountered. Then, the teacher can steer the conversation so that students compare the different solutions created by the groups, highlighting the use of flat figures and their characteristics. Each group can also be asked to evaluate their own solution, highlighting what worked well and what could be improved.

Key Questions

1. Which flat figures were easiest to use in constructing the cities or maps? Why?

2. How did you decide on the size and shape of the pizza divisions? Was there a specific strategy that helped with the decision?

3. How did the knowledge of the characteristics of flat figures assist in solving the proposed challenges?

Conclusion

Duration: (5 - 10 minutes)

The purpose of this stage is to ensure that students have a clear and consolidated understanding of the concepts covered during the lesson and realize the relevance of studying flat figures in real-life situations. Summarizing key points helps to consolidate learning, while connecting theory with practice and discussing the importance of the topic helps motivate students and increase their perception of the usefulness of mathematical content.

Summary

In the Conclusion, the teacher should summarize and reinforce the main concepts addressed during the class, such as recognizing and applying flat figures, including squares, rectangles, circles, and triangles. The characteristics of each figure and how they were used in practical activities, such as building mini cities, creating maps, and dividing pizzas, should be recapped.

Theory Connection

Explain how today’s lesson connected mathematical theory with practical and everyday applications. Highlight how understanding flat figures is essential not only for solving mathematical problems but also for everyday tasks like organizing objects or dividing food fairly.

Closing

Finally, reinforce the importance of studying flat figures, emphasizing how this knowledge is fundamental for developing mathematical and practical skills. Encourage students to continue exploring the applications of flat figures in different contexts and to see mathematics as a useful tool present in their daily lives.