Lesson Plan | Teachy Methodology | Operations: Decimals and Fractions

Objectives

Duration: 10 - 15 minutes

The purpose of this stage is to ensure that students clearly understand the specific objectives of the lesson, allowing them to focus their efforts on the essential skills to be acquired during the session. This includes both the correct execution of mathematical operations and the application of these skills in practical everyday situations.

Main Objectives

1. Understand and apply the four basic operations (addition, subtraction, multiplication, and division) with decimal numbers and fractions.

2. Perform calculations of exponentiation and extraction of roots (exact) involving decimal numbers and fractions.

3. Solve practical everyday problems that involve these operations, such as calculating the total cost to fill a gasoline tank.

Side Objectives

1. Develop the ability to work collaboratively with peers in interactive activities.
2. Encourage the use of digital technologies to solve mathematical problems.

Introduction

Duration: 10 - 15 minutes

The purpose of this stage is to connect the lesson's theme with students' daily lives, generating interest and relevance. By allowing the use of cell phones to search for interesting facts, it promotes the integration of technology into learning, an essential feature of Digital Methodology. Additionally, the key questions aim to initiate a debate and activate students' prior knowledge, preparing them for the practical activities that will follow.

Warming Up

📱 Warmup: Start the class by discussing the relevance of operations with decimals and fractions in everyday life, such as calculating change, dividing a pizza, or measuring ingredients in a recipe. Then, ask students to use their cell phones to search for and share an interesting fact related to decimals or fractions that they did not know before. For example, they might discover how fractions are used to tune musical instruments or how decimals are crucial in computer programming.

Initial Reflections

1. 🔍 How do you think fractions and decimals are used in the social media we use daily?

2. 📏 What are some everyday situations where you've used decimals or fractions without realizing it?

3. 🧐 Can someone share a problem involving fractions and decimals that you found interesting while studying at home?

4. 💡 Why is it important to understand operations with decimals and fractions in modern life?

5. 🔢 How can technology help or hinder solving mathematical problems involving fractions and decimals?

Development

Duration: 60 - 70 minutes + 10 - 15 minutes (teacher's explanation)

The purpose of this stage is to allow students to apply the concepts of decimals and fractions in practical and relevant scenarios, using digital technologies to enhance learning. The proposed activities promote collaboration, problem-solving, and the contextualization of mathematical knowledge in modern life.

Activity Suggestions

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

Activity 1 - 🔢 Fractions and Decimals in the Life of a Digital Influencer

> Duration: 60 - 70 minutes

- Objective: Apply operations with fractions and decimals in a realistic and modern scenario, promoting skills in financial planning and decision-making.

- Description: Students take on the role of a digital influencer and need to manage budgets and expenses related to an advertising campaign. They must use fractions and decimals to calculate the cost of different elements of the campaign, such as paid ads, content creation, and the purchase of (fake) followers.

- Instructions:

• Divide students into groups of up to 5 people.

• Each group must create a fictional digital influencer profile on one of the popular social networks (Instagram, YouTube, TikTok, etc.).

• Groups must list the costs of various activities related to the advertising campaign, such as purchasing ads, producing videos, collaborating, among others.

• Use online tools and spreadsheets to perform calculations involving fractions and decimals, simulating budgets and expenses.

• Each group will present their budget and justify their choices based on the calculations made.

Activity 2 - 🍕 The Math of Virtual Pizzas

> Duration: 60 - 70 minutes

- Objective: Use fractions and decimals in a culinary context, developing calculation skills and understanding of proportions and conversions.

- Description: Students will work in a fictional pizzeria that takes online orders. They will need to calculate the fractions of various ingredients needed to make pizzas of different sizes and flavors, as well as the total cost of the orders.

- Instructions:

• Divide students into groups of up to 5 people.

• Each group must create a pizza menu with different sizes (small, medium, large) and flavors.

• Using a spreadsheet or calculation app, students should calculate ingredient quantities in fractions for different pizza sizes and convert these fractions into decimal numbers.

• Students should also calculate the total cost of each pizza order, considering the ingredients and the final price for the customer.

• Each group will present their pizzas and explain the calculations made.

Activity 3 - 🏠 Planning Purchases for Your Virtual Home

> Duration: 60 - 70 minutes

- Objective: Promote the use of fractions and decimals in financial planning for purchases, encouraging price research and decision-making.

- Description: Students plan the purchase of furniture and appliances for a virtual house, using fractions and decimals to calculate costs and ensure that expenses stay within a fictional budget.

- Instructions:

• Divide students into groups of up to 5 people.

• Each group must create a list of necessary items to equip a virtual house, including furniture and appliances.

• Groups must research item prices in online stores and calculate fractions of costs in different scenarios (for example, discounts, bulk purchases).

• Using spreadsheets, students must convert fractions into decimals to calculate the total cost of the purchased items.

• Each group will present the shopping plan and explain the calculations performed.

Feedback

Duration: 15 - 20 minutes

The purpose of this stage is to promote critical reflection on the activities carried out, encouraging students to share experiences and learnings, identify challenges, and explore solutions. Group discussion and 360° feedback strengthen communication, collaboration, and self-assessment skills, essential elements for the development of socio-emotional and academic skills.

Group Discussion

📢 Group Discussion: Start the discussion by asking each group to share their conclusions and experiences from the activities. Use the following script to guide the discussion:

1. Invite each group to briefly present the calculations and results of their activities.
2. Ask about the challenges they faced and how they overcame them.
3. Request that they explain how digital technology helped them in the calculation and planning process.
4. Encourage an exchange of ideas on how these concepts can be applied in other everyday situations.

Reflections

1. 🔄 How did operations with fractions and decimals facilitate or hinder the completion of the proposed activities? 2. 📊 What were the most useful digital tools for performing the calculations? Why? 3. 🧩 In what ways do you think understanding fractions and decimals can be beneficial in your future professional lives?

360° Feedback

🗨️ 360° Feedback: Instruct students to conduct a 360° feedback session, where each person must receive and offer constructive and respectful feedback to their group members. Guide students to use the 'Feedback Sandwich' technique: start with a positive comment, address an area for improvement, and end with an encouraging observation. Reinforce the importance of maintaining a respectful and collaborative tone throughout the entire feedback process.

Conclusion

Duration: 10 - 15 minutes

🎯 Purpose: This conclusion stage aims to consolidate learning in a reflective and fun way, reinforcing the connection between mathematical concepts and their practical applications in the modern world. By summarizing the main content, connecting the lesson with everyday life, and highlighting the importance of the acquired skills, we hope students leave the class feeling confident and motivated to apply what they learned in their daily lives. 🌟

Summary

🧮🎉 Fun Summary: Imagine a world where fractions and decimals are mathematical superpowers! Today, we explored how these numerical heroes help digital influencers manage campaigns, pizzeria owners calculate ingredients, and consumers plan purchases for their virtual homes. We used spreadsheets and online tools to perform precise calculations and, of course, our brilliant minds to solve mathematical challenges. It was a true mathematical adventure in the digital world! 🚀

World Connection

🌐 In the Current World: We live in a digital world where mathematical operations are everywhere, from social media to online shopping. Understanding decimals and fractions is fundamental to navigate this universe, as these concepts are used in financial transactions, data analysis, advertising campaign planning, and even in virtual games. Technology makes these calculations more accessible and faster, but human knowledge is still irreplaceable! 🖥️📊

Practical Application

🔍 Applications: Knowing how to use decimals and fractions is not just for passing tests; it's a vital skill in everyday life. From calculating the exact amount of gasoline needed for a trip to splitting a restaurant bill with friends, these mathematical operations make our lives easier. Understanding them well allows us to make wise financial decisions and manage resources efficiently. 💵🍕