Lesson Plan | Teachy Methodology | Compound Rule of Three Problems

Objectives

Duration: 10 - 15 minutes

The aim of this stage is to ensure that students clearly understand what will be addressed in class and what skills and knowledge they should achieve by the end of the activity. This creates a clear focus and ensures that everyone is aligned with the class expectations.

Main Objectives

1. Understand the application of the Compound Rule of Three in practical situations and everyday problems.

2. Develop skills to identify inversely proportional magnitudes and apply the indirect rule of three.

Side Objectives

1. Stimulate critical thinking and problem-solving collaboratively.

Introduction

Duration: 10 - 15 minutes

The aim of this stage is to ensure that students clearly understand what will be addressed in class and what skills and knowledge they should achieve by the end of the activity. This creates a clear focus and ensures that everyone is aligned with the class expectations.

Warming Up

🌀 Warm-up: Start the class with an introduction about the importance of the Compound Rule of Three in everyday life. Explain that this mathematical concept is essential for solving problems involving multiple magnitudes, especially those that are inversely proportional. Then, ask students to use their phones 📱 to find an interesting or curious fact about the application of the Compound Rule of Three in real life. Encourage them to share their discoveries with the class.

Initial Reflections

1. ❓ What is the Compound Rule of Three and how does it differ from the Simple Rule of Three?

2. ❓ What are examples of magnitudes that are inversely proportional?

3. ❓ How can the Compound Rule of Three be applied in everyday situations, such as in recipes or financial calculations?

4. ❓ Did you find any interesting examples of the application of the Compound Rule of Three in your research?

5. ❓ Why is it important to understand the relationship between directly and inversely proportional magnitudes?

Development

Duration: 70 - 80 minutes

The aim of this stage is to provide students with the opportunity to apply the Compound Rule of Three in modern and relevant contexts by using digital technologies. This not only deepens understanding of the mathematical concept but also engages students in an interactive and collaborative way.

Activity Suggestions

It is recommended that only one of the suggested activities be carried out

Activity 1 - Digital Influencers and Inversely Proportional Magnitudes 🎥

> Duration: 60 - 70 minutes

- Objective: Apply the Compound Rule of Three in a modern real-world context, using digital tools to create engaging explanatory content.

- Description: Students will be divided into groups and each group will be tasked with creating a short video (using TikTok or Instagram Reels) explaining a compound Rule of Three problem involving digital influencers. For example, calculating the relationship between the number of followers and the yield of an advertising campaign, where an increase in the number of followers can lower the cost per follower reached.

- Instructions:

• Divide the students into groups of no more than 5 people.

• Each group should choose a fictional digital influencer and create a scenario where they need to solve a compound Rule of Three problem.

• Students must use their phones to record a short video (up to 1 minute) explaining the problem and the solution.

• The videos should be creative and clearly explain how the Compound Rule of Three is applied to the chosen problem.

• After recording, the groups should publish the video on a chosen platform (TikTok or Instagram Reels) and share the link in the virtual classroom.

• Reserve time for the groups to watch each other's videos and discuss different approaches and solutions.

Activity 2 - Digital Recipes and Proportional Calculations 🍲

> Duration: 60 - 70 minutes

- Objective: Develop problem-solving skills by applying the Compound Rule of Three in a culinary context, using digital tools for proportional adjustments.

- Description: Students will work in groups to solve a problem involving a recipe that needs to be adjusted for different serving sizes. They will use a recipe-sharing app and online calculators to adjust the ingredients of a recipe, applying the Compound Rule of Three to maintain the correct proportions.

- Instructions:

• Divide the students into groups of no more than 5 people.

• Each group will choose a recipe from a sharing app (like Tasty or AllRecipes) and determine a new serving size.

• Using the Compound Rule of Three, students will adjust the quantities of the ingredients based on the new serving size.

• Students will use online calculators and conversion apps to assist them in adjusting measures.

• Each group should create a digital document or presentation with the new proportions of the ingredients and justify their calculations.

• The groups will share their findings and solutions with the class in a short presentation.

Activity 3 - Gamification: Math Mission 🕹️

> Duration: 60 - 70 minutes

- Objective: Develop problem-solving and collaboration skills in a gamified environment, using an online quiz platform to apply the Compound Rule of Three.

- Description: In this gamification game, students will solve a series of mathematical challenges in a virtual environment, where each challenge involves applying the Compound Rule of Three. They will use an online quiz platform (such as Kahoot! or Quizizz) to answer questions and solve problems, competing to see who can score the highest.

- Instructions:

• Divide the students into groups of no more than 5 people.

• Each group will receive a link to an online quiz that contains a series of problems related to the Compound Rule of Three.

• Using their phones or computers, the groups will collaborate to solve each problem and submit the answers in the quiz.

• The quiz platform will keep real-time scores, encouraging healthy competition among the groups.

• After completing the quiz, reserve time to discuss the answers and clear up any doubts.

• Proclaim the winning group and offer a small prize or recognition to boost motivation.

Feedback

Duration: 25 - 30 minutes

The aim of this stage is to promote deep reflection on the experiences in the activities and the learning of the Compound Rule of Three. Through group discussion and 360° feedback, students consolidate their knowledge, develop communication skills, and receive valuable insights for personal and academic growth.

Group Discussion

🗣️ Group Discussion: Promote a group discussion involving all students. Start by asking each group to briefly share their experiences with the activities they completed. You can follow the script below to introduce the discussion:

1. Introduction: Ask each group to give a brief presentation of their activity results.
2. Experiences: Ask how the experience of working in groups and using digital tools to solve Compound Rule of Three problems was.
3. Challenges: Request that they share the main challenges they encountered during the activities and how they overcame them.
4. Conclusions: Ask students to highlight important conclusions about the application of the Compound Rule of Three in the context of the proposed activities.

Reflections

1. 💡 Reflection Questions:

1. How did using the Compound Rule of Three help solve the problems posed in the activities?
2. What were the main difficulties encountered when applying the Compound Rule of Three, and how did you resolve them?
3. How did working in groups and using digital tools make the learning more meaningful?

360° Feedback

🤝 360° Feedback: Instruct students to carry out a 360° feedback stage where each group member must receive feedback from the other members. Guide the class to ensure that feedback is always constructive and respectful. Use the following guidelines to help students give useful feedback:

1. Be Specific: Avoid vague comments. Provide clear examples of specific behaviors or contributions.
2. Be Positive: Start by highlighting positive aspects before mentioning areas for improvement.
3. Be Constructive: Offer practical and encouraging suggestions for improving areas of difficulty.

Conclusion

Duration: 10 - 15 minutes

🎯 Purpose: This stage aims to consolidate the knowledge acquired during the lesson and contextualize it with practical and modern situations. By understanding the application of the Compound Rule of Three in the real world, students reinforce the importance of mathematical learning, realizing how it is present in various aspects of their lives and future careers. ✨📚

Summary

🌟 Inspiring Summary: Imagine mathematics as a superpower capable of solving everyday challenges and transforming complex information into simple solutions. Today, students delved into the fascinating world of the Compound Rule of Three! They discovered how this tool is essential for unraveling problems involving inversely proportional magnitudes, whether adjusting culinary recipes for a party or calculating the financial impact of a digital marketing campaign. 🚀🔍📊

World Connection

🌐 Connecting with the Current World: The lesson highlighted the relevance of the Compound Rule of Three in the modern digital context. Tools like social networks, short videos, and recipe apps showed how mathematics is not confined to books, but is an integral part of our daily activities and careers influenced by modern dynamics, such as digital influencers and marketing specialists. 📱💼🍲

Practical Application

🛠️ Importance in Daily Life: Knowing how to apply the Compound Rule of Three is like having a master key that unlocks doors to practical solutions in everyday life. Whether optimizing culinary recipes by adjusting ingredients or efficiently managing financial resources and advertising campaigns, this skill facilitates and improves daily decision-making. 🔑📈