Objectives (5 - 7 minutes)

1. Introduce the concept of Pie Charts:

   • Explain what pie charts are and how they are used to represent data in a circular form.
   • Show examples of pie charts and discuss how information is organized within them.

2. Develop the skill of reading and interpreting Pie Charts:

   • Teach students how to read a pie chart, identifying the different sections and their respective proportions.
   • Practice interpreting pie charts by asking questions that require analysis and understanding of the represented information.

3. Apply the acquired knowledge in problem-solving situations:

   • Propose problems involving the creation and interpretation of pie charts, allowing students to apply what they have learned in a practical way.
   • Encourage problem-solving in groups, promoting collaboration and discussion among students.

Secondary Objectives:

• Develop students' critical and analytical thinking skills when interpreting pie charts and solving related problems.
• Promote teamwork skills and effective communication through group problem-solving.

Introduction (10 - 12 minutes)

1. Review of previous concepts:

   • The teacher starts the lesson by reviewing basic mathematical concepts that are essential for understanding pie charts, such as fractions, percentages, and angles. This step is crucial to ensure that all students are on the same page and ready to learn the new topic. (3 minutes)

2. Introductory problem-solving situations:

   • The teacher proposes two problem-solving situations that will spark students' interest and prepare them for the new content:
     • Situation 1: 'Imagine you are the manager of an ice cream shop and want to know which flavors are most popular among customers. How could you use a pie chart to visualize this information?'
     • Situation 2: 'Suppose in an opinion survey, out of 100 respondents, 40 said they like mathematics, 30 said they like science, and 30 said they like history. How could you represent this data in a pie chart?' (5 minutes)

3. Contextualization of the subject's importance:

   • The teacher explains how pie charts are widely used in the real world, from data representation in research and statistics to information visualization in reports and presentations. They may mention specific examples, such as representing the age distribution of a population in a country or the division of a family budget into different spending categories. (2 minutes)

4. Introduction of the topic:

   • The teacher introduces the topic of the lesson, briefly explaining what pie charts are and how they are used. They may use visual resources, such as images or videos, to make the explanation clearer and more engaging. (2 minutes)

5. Related curiosities and stories:

   • To make the Introduction more interesting, the teacher can share some curiosities or stories related to the topic. For example, they may mention that the use of pie charts dates back to antiquity, with the Egyptians and Greeks using circles to represent proportions. Another curiosity is that, despite being very useful, pie charts can also be misleading, especially when the differences between proportions are small. (2 minutes)

Development (20 - 25 minutes)

1. Practical Activity 1: Building a Pie Chart with Manipulative Materials (10 - 12 minutes)

   • The teacher divides the class into groups of 4-5 students and provides each group with a set of manipulative materials, such as paper, colored pencils, ruler, compass, and circular cutouts of different sizes.
   • The group's task is to create a pie chart to represent the distribution of different colors of M&M's in a package. The teacher provides the data for each group.
   • Students should discuss and decide how to divide the circle (representing the M&M's package) into sections, each representing a different color. They should consider the proportion of each color and the order of the sections in the circle.
   • After building the pie chart, each group should present their work to the class, explaining how they arrived at their representation and what it means. The teacher should ask questions to ensure that all students understand the presentation.

2. Practical Activity 2: Interpreting Real Pie Charts (10 - 12 minutes)

   • The teacher distributes to each group a series of pie charts from different sources, such as newspapers, magazines, websites, etc. Each chart represents a different set of data.
   • The group's task is to analyze the charts and answer related questions, such as 'What is the largest section of the chart? And the smallest?' or 'If you could change something in this chart, what would it be and why?'
   • Students should work together to interpret the charts and formulate answers. The teacher should move around the room, providing guidance and clarifying doubts.
   • After completing the activity, each group should present one of the charts they analyzed and share their findings with the class. This will not only reinforce students' understanding of how to interpret pie charts but also improve their presentation and communication skills.

3. Practical Activity 3: Solving Pie Chart Problems (5 - 7 minutes)

   • The teacher distributes to each group a sheet with problems involving the creation and interpretation of pie charts.
   • Students should solve the problems in their groups, discussing strategies and reaching a consensus on the answers.
   • The teacher should be available to help groups that are struggling and to clarify any doubts.
   • After completing the activity, the teacher reviews the answers with the class, explaining the reasoning behind each one and correcting any errors. This will help students consolidate their understanding of the topic and prepare them for the review and evaluation stage.

Return (8 - 10 minutes)

1. Group Discussion (3 - 4 minutes):

   • The teacher asks each group to share their solutions or conclusions from the practical activities. Each group will have a maximum of 3 minutes to present.
   • During the presentations, the teacher should encourage other groups to ask questions and provide constructive feedback. This will promote the exchange of ideas and collaborative learning.
   • The teacher should monitor the discussions to ensure that key concepts of pie charts are being correctly applied and understood by the students.

2. Connection to Theory (2 - 3 minutes):

   • After the presentations, the teacher should summarize the main points discussed, highlighting how they connect with the theoretical concept of pie charts.
   • The teacher may ask reflective questions to help students reflect on what they have learned and how they can apply this knowledge in different contexts. For example: 'How did the activity of creating pie charts help you better understand data representation in a circular format?' or 'How did analyzing real pie charts help you develop interpretation and critical thinking skills?'

3. Individual Review (2 minutes):

   • The teacher gives students a minute to reflect individually on what they learned in the lesson. They should think about answers to questions like:
     1. What was the most important concept you learned today?
     2. What questions have not been answered yet?
   • After a minute of reflection, the teacher asks for some volunteers to share their answers. The goal of this activity is to allow students to consolidate their learning and identify any areas where they may need more practice or clarification.

4. Feedback and Closure (1 - 2 minutes):

   • The teacher thanks the students for their active participation and encourages them to continue practicing what they have learned. They may also provide general feedback on the class performance, highlighting strengths and areas that need more attention.
   • Finally, the teacher reinforces the importance of pie charts in the real world and how they can be useful for representing and interpreting data clearly and effectively.

Conclusion (5 - 7 minutes)

1. Summary and Recap (2 - 3 minutes):

   • The teacher begins the Conclusion by reiterating the key concepts covered during the lesson. They provide a concise yet comprehensive summary of the main topics, including what pie charts are, how to interpret them, and how to apply this knowledge in real situations.
   • At this stage, the teacher may use a visual tool, such as a whiteboard or projector, to review the examples of pie charts that were discussed during the lesson. This will help reinforce learning and students' recall.

2. Connecting Theory with Practice (1 - 2 minutes):

   • The teacher highlights how the theory presented in the lesson was applied in the practical activities. They should explain how building and interpreting pie charts allowed students to visualize and better understand theoretical concepts.
   • Additionally, the teacher may mention how solving problems in groups helped promote collaboration and effective communication among students.

3. Additional Materials (1 minute):

   • The teacher suggests additional reading or study materials for students who wish to deepen their understanding of pie charts. This may include math books, educational websites, explanatory videos, and online practice exercises.
   • It is important that the suggested materials are easily accessible and suitable for the students' comprehension level.

4. Everyday Importance (1 - 2 minutes):

   • To conclude the lesson, the teacher reinforces the relevance of pie charts in everyday life, explaining how they are used in various areas such as statistics, business, social sciences, health, among others.
   • The teacher can give concrete examples of how pie charts can help people make informed decisions, better understand trends and patterns, and communicate complex information clearly and effectively.
   • Finally, the teacher encourages students to observe and analyze the pie charts they encounter in their daily lives, thus promoting the practical application of what they have learned.