Lesson Plan | Teachy Methodology | Financial Mathematics: Compound Interest

Objectives

Duration: 10 - 15 minutes

This stage of the lesson plan aims to provide students with a clear and detailed understanding of the concepts of simple and compound interest, empowering them to apply this knowledge in practical personal and business finance situations. By the end of this section, students are expected to be able to differentiate and calculate compound and simple interest, as well as understand the importance of these calculations in everyday life.

Main Objectives

1. Describe and compare the differences between situations involving simple interest and compound interest.

2. Correctly calculate compound interest to determine the amount of a financial investment.

3. Verify the amount of interest incurred when taking a loan by applying the concepts of compound interest.

Side Objectives

1. Understand the relevance of compound interest concepts in today's financial context.
2. Develop critical analysis skills when comparing different financial scenarios.

Introduction

Duration: 15 - 20 minutes

The purpose of this stage is to warm up students to the theme of the lesson, sparking curiosity and interest through active research. This will help contextualize the subject and establish a connection with students' realities, facilitating comprehension and making learning more meaningful.

Warming Up

To introduce the topic of Financial Mathematics: Compound Interest, the teacher should briefly explain that compound interest is a way to make money grow faster than simple interest because the accumulated interest also earns interest over time. Then, instruct students to use their phones to search for an interesting fact or trivia about compound interest. Ask them to share their discoveries with the class. This might include stories of famous investments, examples of compound interest in nature, or even historical trivia about the origin of the concept.

Initial Reflections

1. What is the main difference between simple interest and compound interest?

2. Why is compound interest more advantageous in long-term investments?

3. Can you give examples of everyday situations where compound interest is applied?

4. How can compound interest negatively impact taking out a loan?

5. What factors influence the growth of compound interest over time?

Development

Duration: 70 - 80 minutes

The purpose of this stage is to provide students with a practical and interactive experience, where they can apply the concepts of compound interest in real and fictitious situations, using digital technologies to enrich learning. The activities are designed to promote student agency, encouraging collaboration, creativity, and the development of critical skills in analyzing and solving financial problems.

Activity Suggestions

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

Activity 1 - 🚀 Junior Investor: Creating and Monitoring a Digital Portfolio

> Duration: 60 - 70 minutes

- Objective: Provide students with a practical and interactive experience that simulates the real investment market, allowing them to understand how compound interest impacts the economy and personal investments.

- Description: Students will create a simulation of an investment portfolio using an online platform or fictitious investment app. Each group must choose an initial amount and select different investment options that offer compound interest (such as savings, fixed income securities, or stocks). Students must monitor the growth of the investments over a fictitious period and make adjustments based on news and market events that the teacher will share throughout the activity.

- Instructions:

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

• Each group should access an investment simulation platform (it can be a specific web application or a fictitious finance app available online).

• Groups should define an initial investment amount and distribute that amount among different options that offer compound interest.

• During the activity, the teacher should share fictitious news and market events that may impact investments (e.g., interest rate increases, economic crises, etc.).

• Students should adjust their portfolios based on the news received, justifying their choices.

• At the end, each group should prepare a brief report comparing the different investments and the growth of compound interest over time.

Activity 2 - 📱 Digital Influencers and Loans: A Financial Reality Show

> Duration: 60 - 70 minutes

- Objective: Encourage students to apply concepts of compound interest in practical and creative situations, developing skills in argumentation, financial calculation, and use of digital tools.

- Description: Students will enact a fictitious reality show where different digital influencers request loans to fund their projects. Each group will have to calculate the compound interest that the influencers will pay over time and argue whether each influencer's project will succeed or not based on financial calculations.

- Instructions:

• Form groups of no more than 5 students.

• Each group should create a digital influencer character with a specific project (e.g., launching a new product, organizing an event, etc.).

• Using digital tools (such as Google Sheets or finance planning apps), each group must calculate the compound interest that the influencer will pay over time for different loan options.

• Students should create a short video or digital presentation simulating an influencer 'pitch' to secure the loan, including financial calculations and justification.

• Present the videos or presentations to the class, where each group will be evaluated based on the financial viability of the project according to the analysis of compound interest.

Activity 3 - 🎮 Gamification: The Adventure of Compound Interest

> Duration: 60 - 70 minutes

- Objective: Use gamification to make learning about compound interest more fun and interactive, encouraging collaboration, problem-solving, and the application of mathematical concepts in a virtual environment.

- Description: Develop a digital game where students need to make financial decisions related to investments and loans in a virtual environment. Each group will participate in the game and face challenges that involve calculating compound interest to advance through levels and win fictitious prizes.

- Instructions:

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

• Students should access an educational gamification platform that allows for the customization of scenarios and financial challenges.

• Explain that each group should choose avatars and start the adventure, where they will face different challenges based on real investment and loan situations.

• Each challenge will require students to apply the concepts of compound interest to solve problems and make financial decisions.

• Groups will accumulate points as they advance through the levels of the game, potentially earning fictitious prizes based on the accuracy of calculations and decisions made.

• At the end of the activity, students should discuss the strategies they used and the lessons learned during the game.

Feedback

Duration: 15 - 20 minutes

🎯 Purpose: The purpose of this stage is to consolidate students' learning through reflection and group discussion, providing a space for experience exchange and critical analysis of the activities conducted. Additionally, the 360° feedback contributes to the development of interpersonal skills and the construction of a collaborative and respectful environment.

Group Discussion

🗣️ Group Discussion: Facilitate a discussion with all students to share their experiences and conclusions from the activities conducted. Use the following outline as a guide:

1. Introduction: Briefly comment on the importance of reflecting on the activities performed to consolidate learning.
2. Sharing Experiences: Invite each group to share their key learnings during the activities, highlighting the strategies that worked and the difficulties encountered.
3. Critical Analysis: Encourage students to discuss how the concepts of compound interest apply to the real situations presented in the activities.
4. Conclusion: Summarize the main points discussed and reinforce the relevance of compound interest in the current and future financial context.

Reflections

1. 🔍 What were the main differences you observed between the simple and compound interest scenarios discussed in each activity? 2. 💡 How did the fictitious market events influence your investment decisions? Would you change anything? 3. 📊 What did you learn about the importance of compound interest over time in an investment or loan?

360° Feedback

🔄 360° Feedback: Instruct students to conduct a 360-degree feedback session, where each student receives feedback from other group members on their participation and contributions during the activities. Guide the class to ensure the feedback is constructive and respectful, encouraging the use of phrases such as 'I liked when you...' or 'You could improve on...'. This stage is essential for developing communication and collaboration skills, as well as promoting a healthy learning environment.

Conclusion

Duration: 10 - 15 minutes

🎯 Purpose: The purpose of this stage is to ensure that students leave the class with a clear and practical understanding of how compound interest affects their financial lives. By connecting the theory learned with modern reality and everyday applications, we aim to consolidate knowledge and stimulate critical thinking regarding future financial decisions.

Summary

📊 Summary: Imagine that money is a little plant. In the case of simple interest, you water the plant with the same amount of water each time. With compound interest, each time you water it, besides water, you also add some fertilizer that makes the plant grow faster, and even the plant itself helps in its growth. Today, we explored how this amazing concept can multiply investments or increase debts, and how we can use this knowledge to make smart decisions in the financial world. 🚀💸

World Connection

🌍 In Today's World: In a world where financial decisions are just a click away, understanding compound interest is a super skill! From influencers making millions with investments to startups that grow exponentially, compound interest is everywhere. Thinking financially is thinking digitally, and understanding these concepts can transform the way we handle money amid the rapid changes of the modern market.

Practical Application

📈 Applications: Knowing how to calculate and compare compound interest is essential for making smart financial decisions, whether to invest in an asset that grows over time or to avoid debts that become unpayable. In our daily lives, this means being able to better plan for the future, achieve financial goals, and even advise friends and family on investments and loans.