Lesson Plan | Lesson Plan Iteratif Teachy | First Degree Function: Introduction

Goal

Duration: 10 - 15 minutes

The aim of this stage is to set a clear understanding of the objectives that students are expected to accomplish throughout the lesson. At this phase, students will be ready to recognise and manipulate linear functions, tying theoretical concepts to real-life examples that are relevant in our modern society.

Goal Utama:

1. Identify the general form of a linear function y=ax+b.

2. Analyze and link a dataset to a linear function.

Goal Sekunder:

1. Encourage critical thinking while interpreting data and forming functions.
2. Foster teamwork among students while tackling practical problems.

Introduction

Duration: 10 - 15 minutes

📡 Purpose: This stage aims to prepare students for active engagement with linear functions. By starting with hands-on research and thought-provoking questions, students will feel more inclined to participate in subsequent activities and connect what they're learning to their everyday experiences.

Warming Up

📱 Warm-Up: Kick off the class by pointing out that linear functions, expressed as y=ax+b, play a crucial role in various fields such as economics, engineering, and even social media. Ask students to whip out their phones and find a fascinating fact about the use of linear functions in everyday situations, like tracking expenses, population growth, or social media trends. Give them 5 minutes to do some research, then invite them to share their findings.

Initial Thoughts

1. 🧐 What is a linear function, and how is it represented?

2. 📊 How can we spot a linear function in a dataset?

3. 🤔 Why is grasping linear functions important in our daily lives?

4. 💡 Did anyone come across an intriguing example during their phone hunt? How does this example showcase the use of linear functions?

5. 🧮 How do the constants 'a' (slope) and 'b' (y-intercept) impact the graph of a linear function?

Development

Duration: 70 - 80 minutes

The aim of this section is to give students hands-on, contextual experiences in applying the concepts studied about linear functions. The activities are designed to encourage cooperation, critical thinking, and creativity, employing digital technologies to make learning more interesting and relevant to students' lives.

Activity Suggestions

Activity Recommendations

Activity 1 - 🎮 Gamer Function: Unpacking Functions in Games!

> Duration: 60 - 70 minutes

- Goal: Apply and cement knowledge of linear functions in a practical and fun manner, encouraging teamwork and analytical thinking.

- Deskripsi Activity: Students will form groups of up to 5 and design a simple mini-game using tools like Scratch or an online game development platform. The game should incorporate the use of linear functions to overcome challenges or level up.

- Instructions:

• Organise students into groups of up to 5.

• Explain that their mission is to develop a mini-game where players must use linear functions to solve challenges and progress.

• Groups may utilise platforms such as Scratch, Code.org, or any user-friendly game creation tool.

• Each group is required to create at least three challenges within the game that necessitate the use of the function y=ax+b to be resolved.

• Students should document the reasoning behind the functions used in each challenge, clarifying the role of coefficients 'a' and 'b'.

• Finally, each group will present their game to the class, explaining how they applied the concepts of linear functions.

Activity 2 - 📈 Digital Influencers and Functions: Trend Analysis!

> Duration: 60 - 70 minutes

- Goal: Comprehend the use of linear functions in a real-world context of data analysis, encouraging interpretation and discussion of findings.

- Deskripsi Activity: Students will step into the shoes of a digital influencer who needs to analyse follower data to fine-tune their content. Using fictional data on follower growth over time, they must determine the linear function that best represents this trend.

- Instructions:

• Split students into groups of up to 5.

• Clarify that each group acts as a data analysis team for an influencer.

• Provide a table of fictional data showing follower growth over a six-month period.

• Students must graph the data using a spreadsheet (Google Sheets or Excel).

• They will then find the linear function that accurately describes follower growth (y = ax + b).

• Invite each group to share their functions and discuss the differences between the coefficients 'a' and 'b' they discovered.

• Students should delve into how the slope 'a' represents follower growth rate while 'b' represents the starting number of followers.

Activity 3 - 📊 Digital Business: Projecting Profits with Functions!

> Duration: 60 - 70 minutes

- Goal: Utilize knowledge of linear functions within a practical framework of financial planning, enhancing forecasting and data analysis abilities.

- Deskripsi Activity: Students will simulate setting up an online business, employing linear functions to forecast profits over the upcoming months. They should draft a basic business plan that includes revenue and expense projections while using linear functions to estimate monthly profits.

- Instructions:

• Organize students into groups of up to 5.

• Explain that each group will act as a team of digital entrepreneurs launching their own online business.

• Provide a spreadsheet template with sections for monthly revenue, expenses, and profits.

• Students must enter fictional figures into the spreadsheet, forecasting their finances for the next six months.

• Using their data, students will identify the linear function that determines monthly profit (the difference between revenue and expenses).

• Each team should prepare a concise presentation of their business model, including the calculated linear function and insights on coefficients 'a' and 'b'.

• Wrap up with presentations from each group on their developed business models.

Feedback

Duration: 15 - 20 minutes

📚 Purpose: This stage aims to provide an opportunity for reflection and reinforce acquired knowledge, alongside encouraging communication, critical thinking, and teamwork among students. The group discussion and 360° feedback nurture a culture of ongoing learning and mutual growth, which is vital for academic and personal development.

Group Discussion

🗣️ Group Discussion: Facilitate a class discussion where groups reflect on what they learned from the activities and share their conclusions. Use the following prompts to kick off the conversation:

1. Introduction: Thank all groups for their dedicated effort during the activities.
2. Sharing: Invite each group to succinctly share their discoveries and the challenges they encountered.
3. Application: Ask students how the activities enriched their understanding of linear functions and if they recognise practical applications in their everyday lives.
4. Conclusion: Summarise the key points from the discussion and express appreciation for everyone's active participation.

Reflections

1. 📝 Reflection Questions: 2. 📑 How did the activities bridge the gap between theoretical concepts of linear functions and practical uses in daily life? 3. 🤔 What was the biggest challenge faced during the activities, and how did the group tackle it? 4. 📈 How did the ideas of slope ('a') and y-intercept ('b') become more lucid through the tasks we completed?

Feedback 360º

🔄 360° Feedback: Discuss with students the significance of constructive feedback for individual and collective growth. Encourage them to provide respectful, constructive feedback, following these steps:

1. Positive: Each student should note a commendable aspect of a peer's work.
2. Improvement: Each student should suggest an area for improvement or an alternative approach.
3. Gratitude: Urge students to thank their peers for the feedback and consider how to implement these suggestions for enhancing their learning and teamwork.

Conclusion

Duration: 10 - 15 minutes

📖 Purpose: This concluding stage aims to solidify the knowledge gained throughout the lesson, linking theoretical concepts to their practical applications. It also emphasises the significance of linear functions in various aspects of daily life and modern dynamics, motivating students to appreciate continuous learning.

Summary

🎉 Summary: Picture a straight line cruising across the Cartesian plane with flair! 🌟 That’s our mate, the linear function, always ready to transform y into ax + b. During this lesson, students explored the realm of linear functions, cracked graph codes, embraced their inner developers, and became digital influencers analysing data. It was a true mathematical adventure!

World

🌍 In Today's World: It's evident that understanding linear functions is crucial in today’s world. Whether projecting follower growth on social media, predicting profits for online businesses, or even creating games, linear functions are ubiquitous. They help us decode trends and make data-informed decisions.

Applications

🧑‍💻 Applications: Grasping linear functions is more than just a mathematical skill; it’s an essential life tool. It empowers us to forecast growth, make sense of trends, and execute data-centric predictions. From digital marketing strategies to managing personal finances, the possibilities are endless!