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Lesson plan of Compound Rule of Three Problems

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Lara from Teachy


Mathematics

Original Teachy

Compound Rule of Three Problems

Lesson Plan | Lesson Plan Iteratif Teachy | Compound Rule of Three Problems

KeywordsDigital Methodology, Rule of Three, Inversely Proportional Quantities, High School, Mathematics, Student Protagonism, Practical Activities, Social Media, Short Videos, Culinary Recipes, Online Quiz, Kahoot, Quizizz, 360° Feedback, Critical Thinking, Problem Solving, Collaboration
ResourcesMobile phones or tablets, Internet access, TikTok or Instagram apps, Recipe sharing apps (Tasty, AllRecipes, etc.), Online calculators, Computers or laptops, Online quiz platforms (Kahoot, Quizizz, etc.), Presentation tools (Google Slides, PowerPoint, etc.), Paper and pens for notes
Codes-
Grade11th grade
DisciplineMathematics

Goal

Duration: 10 - 15 minutes

This phase is designed to ensure that students know right from the start what will be covered in the lesson along with the skills and knowledge they should acquire by the end. It helps set a focused goal and keeps everyone on the same page regarding the class expectations.

Goal Utama:

1. Develop a clear understanding of how to use the Rule of Three in everyday situations and practical challenges.

2. Enhance skills to identify inversely proportional quantities and correctly apply the indirect Rule of Three.

Goal Sekunder:

  1. Encourage critical thinking and collaborative problem-solving among peers.

Introduction

Duration: 10 - 15 minutes

This stage is meant to ensure that students have a clear idea of what will be covered and what competencies they are expected to build by the end of the session. It sets a clear focus and aligns everyone with the class goals.

Warming Up

🌀 Warm-Up: Let’s kick off the class with a brief discussion on the significance of the Rule of Three in our daily lives. Explain that this key mathematical concept helps in solving problems involving various quantities, especially when they are inversely proportional. Ask the students to use their mobile phones to look up an interesting or unusual fact about the application of the Rule of Three in real life. Do encourage them to share their findings with the class.

Initial Thoughts

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

2. ❓ Can you give examples of quantities that are inversely proportional?

3. ❓ How might the Rule of Three be used in daily situations, for instance in adjusting recipes or managing finances?

4. ❓ Did you come across any intriguing examples of the Rule of Three during your research?

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

Development

Duration: 70 - 80 minutes

This stage provides the students with hands-on opportunities to apply the Rule of Three in modern and contextually relevant scenarios using digital technologies. It not only reinforces their understanding of the concept but also engages them in interactive and collaborative activities.

Activity Suggestions

Activity Recommendations

Activity 1 - Digital Influencers and Inversely Proportional Quantities 🎥

> Duration: 60 - 70 minutes

- Goal: To apply the Rule of Three in a modern and relatable context, making use of digital tools to create engaging explanatory content.

- Deskripsi Activity: Students will be divided into groups, with each group tasked to create a short video (using TikTok or Instagram Reels) explaining a Rule of Three problem involving digital influencers. For example, they might calculate the relationship between the number of followers and revenue from an advertising campaign, where an increase in followers could lead to a decrease in cost per reached follower.

- Instructions:

  • Divide students into groups of no more than 5 members.

  • Each group should select a fictional digital influencer character and devise a scenario where they encounter a Rule of Three problem.

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

  • Ensure that the videos are creative and clearly show how the Rule of Three is applied.

  • Once recorded, groups must publish their video on a chosen platform (TikTok or Instagram Reels) and share the link on the class’s virtual space.

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

Activity 2 - Digital Recipes and Proportional Calculations 🍲

> Duration: 60 - 70 minutes

- Goal: To refine problem-solving skills by using the Rule of Three in a culinary setting, supported by digital tools for making proportional adjustments.

- Deskripsi Activity: Students will work in groups to tackle a problem based on a recipe that needs to be adjusted for different serving sizes. They will use a recipe-sharing app and online calculators to modify the ingredients, thereby applying the Rule of Three to maintain correct proportions.

- Instructions:

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

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

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

  • Utilise online calculators and conversion apps to help with adjusting the measurements.

  • Each group must prepare a digital document or presentation with the new ingredient proportions and justify their calculations.

  • Groups will then share their outcomes and reasoning with the class through a short presentation.

Activity 3 - Gamification: Math Mission 🕹️

> Duration: 60 - 70 minutes

- Goal: To build problem-solving and collaboration skills in an engaging, digital environment by applying the Rule of Three.

- Deskripsi Activity: In this fun and interactive activity, students will solve a series of math challenges in a virtual environment where each challenge involves applying the Rule of Three. Using an online quiz platform like Kahoot! or Quizizz, they will answer questions and solve problems, competing to score the highest.

- Instructions:

  • Divide the students into groups of not more than 5.

  • Each group will be given a link to an online quiz containing a range of Rule of Three problems.

  • Using their mobile phones or laptops, groups will work together to solve the problems and submit their answers.

  • The online quiz will keep a real-time score, promoting healthy competition among the groups.

  • After finishing the quiz, allocate time to review the answers and address any doubts.

  • Announce the winning group and consider giving a small prize or recognition to further motivate the students.

Feedback

Duration: 25 - 30 minutes

This stage is aimed at promoting thorough reflection on the activities and the learning process related to the Rule of Three. Through group discussion and comprehensive feedback, students consolidate their understanding, enhance communication skills, and receive valuable insights for both personal and academic growth.

Group Discussion

🗣️ Group Discussion: Facilitate a class-wide discussion where each group can share their experiences from the activities. You might follow this outline:

  1. Introduction: Ask each group to give a brief overview of the results from their activity.
  2. Experiences: Discuss how it was working in groups and using digital tools to solve Rule of Three problems.
  3. Challenges: Invite students to talk about the key challenges they faced during the activities and how they managed to overcome them.
  4. Conclusions: Request students to summarise the important insights they gained about applying the Rule of Three.

Reflections

1. 💡 Reflection Questions:

  1. In what ways did using the Rule of Three help in solving the problems during the activities?
  2. What were the main difficulties while applying the Rule of Three and how were they tackled?
  3. How did working in groups and utilising digital tools make the learning experience more effective?

Feedback 360º

🤝 360° Feedback: Guide students to carry out a 360° feedback session, where each member receives constructive feedback from all the others. Encourage them to follow these pointers:

  1. Be Specific: Avoid general comments and provide clear examples of contributions or behaviours.
  2. Be Positive: Start by highlighting positive aspects before suggesting areas of improvement.
  3. Be Constructive: Offer practical and encouraging suggestions to help improve where necessary.

Conclusion

Duration: 10 - 15 minutes

🎯 Purpose: This stage is all about consolidating the new knowledge acquired during the lesson and linking it to practical, modern-day situations. By understanding how the Rule of Three operates in the real world, students realise the importance of mathematics in various aspects of life and potential future careers. ✨📚

Summary

🌟 Inspirational Summary: Think of math as a superpower that helps simplify daily challenges and transforms complex information into simple, actionable solutions. Today, students ventured into the fascinating world of the Rule of Three, discovering how this vital tool is used to tackle problems involving inversely proportional quantities – whether it’s adjusting a recipe for a family get-together or computing the financial impact of a digital campaign. 🚀🔍📊

World

🌐 Connecting with the Current World: The lesson underlined the relevance of the Rule of Three in today’s digital era. Whether it’s through social media, short-form videos, or recipe apps, math isn’t just confined to textbooks – it’s a part of our everyday lives and professional journeys, from digital influencers to marketing experts. 📱💼🍲

Applications

🛠️ Importance in Daily Life: Mastering the Rule of Three is like having a master key that unlocks practical solutions for everyday challenges. Be it fine-tuning a recipe or efficiently managing finances and advertising campaigns, this skill enhances decision-making in daily life. 🔑📈


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