Lesson Plan | Teachy Methodology | Reasons and Proportions

Objectives

Duration: 10 to 15 minutes

The purpose of this stage is to present to the students the central and secondary objectives of the lesson, establishing a clear and focused starting point. This section guides students on what is expected of them to learn and be able to accomplish by the end of the lesson, ensuring that everyone is aligned and motivated for the subsequent activities.

Main Objectives

1. Understand the concepts of ratio and proportion.

2. Differentiate between ratio and proportion in practical problems.

3. Apply the calculation of ratio and proportion in everyday situations, such as calculating the average speed of a car.

Side Objectives

1. Develop critical thinking and problem-solving skills.
2. Incorporate digital tools and audiovisual resources to enrich the understanding of concepts.

Introduction

Duration: 15 to 20 minutes

The purpose of this stage is to engage students in an active way that is contextualized with their reality, using digital resources to stimulate curiosity and interest in the lesson's topic. By discussing key questions and sharing discoveries made online, students begin to connect personally with the concepts of ratio and proportion, preparing themselves for the practical activities that will follow.

Warming Up

Start the lesson by explaining that a ratio is a comparison between two numbers and that a proportion is an equality between two ratios. Ask students to use their cell phones to look up an interesting fact about ratios and proportions. For example, they can search how these concepts are used in cooking recipes, construction, or even in sports. Give them a few minutes to conduct this search and then ask them to share the facts they found with the class.

Initial Reflections

1. What is a ratio? How would you define it in your own words?

2. What is the difference between ratio and proportion?

3. Did you find any interesting examples of ratio or proportion in your research? Can you share it with the class?

4. How do you think that ratio and proportion are important in our daily life?

5. Has anyone used ratio and proportion in a recent activity, such as cooking or playing a game?

Development

Duration: 70 to 80 minutes

The purpose of this stage is to provide students with practical and contextualized experiences that broaden their understanding of ratio and proportion. By using digital technology and creative activities, students will be able to engage with mathematical concepts in a meaningful and engaging way.

Activity Suggestions

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

Activity 1 - TikTok Proportion Challenge 📱🎥

> Duration: 60 to 70 minutes

- Objective: Apply the concepts of ratio and proportion in a contemporary and popular media among students, stimulating creativity and the contextualization of mathematical knowledge.

- Description: In this activity, students will create a video of no more than 1 minute on TikTok explaining the difference between ratio and proportion, using practical examples. They may use effects, filters, and music to make the video more appealing.

- Instructions:

• Divide students into groups of up to 5 people.

• Ask them to briefly discuss the difference between ratio and proportion.

• Each group should think of practical everyday examples where these notions are applicable (e.g., cooking recipes, travel, sports, etc.).

• Use cell phones to record the video on TikTok, including effects, filters, and music.

• The videos must be edited to be a maximum of 1 minute long.

• Post the videos on TikTok with a specific class hashtag.

• After posting, each group should present their video to the class and briefly discuss the content creation.

Activity 2 - Digital Influencer Mission: Solving Proportion Problems 🌟📊

> Duration: 60 to 70 minutes

- Objective: Encourage practical and creative application of mathematical concepts in digital and everyday contexts, promoting communication skills and the use of technology.

- Description: Students will become digital influencers for a day and create posts for their social media (Instagram, Twitter, or Facebook) that explain how to solve ratio and proportion problems. The posts should be informative and attractive, using images, graphs, or short videos.

- Instructions:

• Divide students into groups of up to 5 people.

• Ask the groups to choose a practical problem that involves ratio and proportion (e.g., calculating the average speed of a car, adjusting a recipe, etc.).

• Each group should create a social media post explaining how to solve the chosen problem.

• Include images, graphs, or short videos to make the post more appealing.

• Use cell phones to create and edit the posts.

• Post the submissions on social media with a specific class hashtag.

• Present and discuss the posts in the class, assessing the clarity and creativity of the explanations.

Activity 3 - Proportion Game: Adventures in Minecraft 🕹️🏰

> Duration: 60 to 70 minutes

- Objective: Promote practical understanding of proportions through a playful and interactive activity, using a popular game among students to facilitate learning.

- Description: Using the game Minecraft, students will be challenged to build structures that follow specific proportions. Each group will receive a set of proportions and will have to apply these concepts to create proportional constructions in the virtual environment.

- Instructions:

• Divide students into groups of up to 5 people.

• Each group will be provided with proportions that they must use to build structures in Minecraft (e.g., a tower with proportions 1:2:3).

• Students should plan the construction, discussing the proportions and how to apply them in the game.

• Use computers with Minecraft installed to perform the constructions.

• After building, each group must take a virtual tour of their creation, explaining how they applied the proportions.

• Discuss the challenges and learnings of each group during the activity.

Feedback

Duration: 20 to 25 minutes

The purpose of this stage is to provide a moment of collective reflection, allowing students to share their experiences and learning, as well as receive constructive feedback from peers. This exchange of ideas and experiences fosters a better understanding of the concepts of ratio and proportion and promotes communication, teamwork, and critical thinking skills.

Group Discussion

Promote a group discussion where each group shares what they learned by doing the practical activities. Use the following script to introduce the discussion:

1. Introduction: 'Now that all of you have had the opportunity to work with ratio and proportion practically, let's share our experiences.'
2. Sharing: 'Each group, please share what you learned and how you felt while performing the activities. What challenges did you face? How did you overcome those challenges?'
3. Reflection: 'Based on the activities and peer feedback, how do you think you could apply these concepts in other everyday situations?'

Reflections

1. What were the main challenges you encountered when applying the concepts of ratio and proportion in the practical activities? 2. How did group collaboration aid in understanding and solving the problems? 3. In which everyday situations do you see the application of ratio and proportion being important?

360° Feedback

Instruct students to carry out a 360° feedback step, where each student must receive feedback from other group members. Guide the class to follow these guidelines for constructive and respectful feedback:

1. Be specific: Focus on concrete aspects of a peer's work that were positive or could be improved, rather than giving vague comments.
2. Be objective: Base your feedback on observations and facts, avoiding personal judgments.
3. Be constructive: Offer practical and positive suggestions for improvement, while also acknowledging the strengths of the peer's work.

Conclusion

Duration: 5 to 10 minutes

The purpose of this stage is to consolidate learning, connecting mathematical concepts with practical applications in the modern world. It provides a fun and meaningful summary, reinforcing the importance of the theme in both school context and the everyday life of students.

Summary

🎉 Congratulations, Proportion Explorers! 🎉

Let's review in a fun way what we explored today. We learned that ratio is a comparison between two numbers, like a cake recipe: 2 cups of flour for 1 cup of sugar. Proportion is when two ratios are equal, like when doubling the recipe while maintaining the same relation of ingredients! We dove into digital challenges, created TikTok videos, social media posts, and even built in Minecraft! Each activity helped to understand and apply these concepts in a practical and creative way. 👏👏

World Connection

📱🌐 Connecting with the Modern World 🌐📱

In today's digital world, understanding ratios and proportions is crucial. From adjusting filters on Instagram to calculating average speed in a racing game, these concepts are everywhere. By using social media and online games, we connect mathematics with real life, showing that it is present in our everyday and digital interactions.

Practical Application

✨ Importance in Daily Life ✨

Understanding ratios and proportions helps us make precise decisions, whether in the kitchen, adjusting a recipe; or on the road, calculating the average speed of a car. These mathematical concepts simplify our lives, allowing us to solve problems practically and efficiently.