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Lesson plan of First Degree Function: Graph and Table

Mathematics

Original Teachy

First Degree Function: Graph and Table

Lesson Plan | Lesson Plan Iteratif Teachy | First Degree Function: Graph and Table

KeywordsLinear Function, Graph, Table, Cartesian Plane, Line, Intercepts, X and Y Axes, Practical Applications, Social Media, Digital Influencers, Follower Growth, Gamification, Data Interpretation, Teamwork, 360° Feedback
ResourcesCell phones or tablets with internet access, Computers or laptops, Graphing software or applications, Graph paper, Pens and pencils, Projector or digital whiteboard, Presentation materials (PowerPoint, Google Slides, etc.), Interactive digital game (prepped by the teacher), Materials for symbolic rewards (if desired)
Codes-
Grade10th grade
DisciplineMathematics

Goal

Duration: 10 to 15 minutes

This phase of the lesson plan aims to clarify the specific skills and knowledge that will be cultivated during the session. A comprehensive understanding of the objectives will enable students to concentrate on their practical tasks effectively, while the teacher can guide their efforts with precision.

Goal Utama:

1. Graph a linear function on the Cartesian plane using a straight line.

2. Identify intercepts on the x and y axes for a linear function.

3. Understand and interpret data presented in a table depicting a linear function.

Goal Sekunder:

Introduction

Duration: 15 to 20 minutes

Purpose: This initial stage is designed to engage students in the lesson topic and bridge theoretical concepts to practical usage in everyday life. By using their phones for information discovery, students will actively engage and gain a deeper, contextual understanding that will unfold in more detail throughout the lesson. 🌍

Warming Up

Warm-Up: To kick off the lesson on linear functions, quickly introduce what linear functions are and their appearances in various everyday scenarios, such as in economics and physics. Then ask students to use their phones to find an interesting fact or practical application of linear functions. They will have a few minutes to share their findings with the class, igniting an initial discussion on the topic's relevance. 📱🔍

Initial Thoughts

1. Why is it important to understand linear functions in real life?

2. How can you determine the x and y intercepts in a linear function?

3. What distinguishes linear functions from other functions?

4. How does the graphical representation of a linear function assist us in solving practical problems?

5. Did you discover any fascinating applications of linear functions during your research?

Development

Duration: 65 to 75 minutes

This phase aims to give students a hands-on, contextual experience using linear functions. The proposed activities are designed to deepen students' existing knowledge, encouraging application of linear functions to real-world problems while employing digital technologies to enhance engagement and understanding of the content.

Activity Suggestions

Activity Recommendations

Activity 1 - Digital Influencers and Linear Functions 🚀

> Duration: 60 to 70 minutes

- Goal: Utilise the concept of linear functions in a realistic scenario, like forecasting the follower growth of a digital influencer. Enhance research, data analysis, graphing, and communication skills.

- Deskripsi Activity: Students will craft a fictional digital influencer's profile and employ linear functions to forecast follower growth over time. This activity merges storytelling with maths, making learning enjoyable and relatable.

- Instructions:

  • Split students into groups of up to 5 members.

  • Each group will build a detailed profile of a fictional digital influencer, covering name, market niche (fashion, tech, education, etc.), and main platform (Instagram, YouTube, TikTok).

  • Students should investigate follower growth trends on various platforms and gather real data.

  • Based on the gathered data, each group will develop a linear function representing follower growth over time (y = ax + b).

  • Groups will plot a graph on the Cartesian plane illustrating the follower growth function over a set timeframe (for instance, 6 months).

  • Every group will present their influencer profile and growth graph to the class.

  • During the presentation, groups must clarify how they derived the linear function and interpret the intercepts on the x and y axes.

Activity 2 - Social Media Challenge: Linear Functions in Action 📊

> Duration: 60 to 70 minutes

- Goal: Develop the ability to apply linear functions to everyday situations. Foster skills for data interpretation, table organisation, graphing, and teamwork.

- Deskripsi Activity: Students will take part in a challenge where they will apply linear functions to solve everyday issues presented as social media posts. The activity involves data interpretation and graph creation to address the challenges.

- Instructions:

  • Organise students into groups of up to 5 members.

  • Distribute a set of fictional social media posts to each group, where each post contains a practical problem solvable via linear functions. For example: 'Predicting household energy use based on past bills.'

  • Students must identify the linear function in each problem and present the data in a table.

  • Each group will graph the identified function on the Cartesian plane.

  • Groups will prepare a presentation detailing their problem-solving process, interpreting the intercepts on the x and y axes.

  • Finally, the groups will share their solutions with the class through brief presentations.

Activity 3 - Functions Game: 'The Line Master' 🎮

> Duration: 60 to 70 minutes

- Goal: Engage students through interactive gaming, fostering the learning of linear functions in a fun and engaging manner. Develop problem-solving, teamwork, and critical thinking skills.

- Deskripsi Activity: Students will engage in a digital game where they will compete to become 'Line Masters'. They will tackle various mathematical challenges using linear functions to advance in the game and accumulate points.

- Instructions:

  • Split students into groups of up to 5 members.

  • Each group will access an interactive digital game designed by the teacher. The game features distinct levels with challenges related to linear functions.

  • Students will solve problems involving value tables, identifying linear functions, and graphing on the Cartesian plane.

  • As groups complete challenges, they earn points and progress to more complex levels.

  • The game will include 'pause' moments where the teacher will intervene to discuss solutions and clarify doubts.

  • At the end, the group with the highest score will be crowned 'The Line Master' and receive a small symbolic prize.

Feedback

Duration: 15 to 20 minutes

The purpose of this feedback session is to solidify students' learning experiences, allowing them to reflect on what they’ve learnt and share insights with classmates. This group discussion and 360° feedback not only reinforces the content but also hones their communication, collaboration, and constructive criticism skills, which are essential for both personal and academic growth.

Group Discussion

Group Discussion 🤝: Initiate a discussion with all students, allowing groups to share their learning experiences and conclusions. Suggested Outline:

  1. Introduction: Remind students of the lesson objectives and activities carried out.
  2. Sharing: Invite each group to present their insights and experiences. Ask about the challenges they encountered and their methods for overcoming them.
  3. Connection: Encourage students to draw links between the various activities and how these contributed to a deeper understanding of linear functions.
  4. Questions: Use reflection questions to facilitate a deeper dialogue about their learning.

Reflections

1. In what ways can applying linear functions help us understand and address everyday challenges? 2. What were the key obstacles you faced in creating and interpreting your graphs during the activities? How did you tackle them? 3. How did working in a group and using digital tools influence your understanding of linear functions?

Feedback 360º

360° Feedback: ✍️ Instruct students to engage in a 360° feedback session where each student should receive feedback from their peers in the group. Guidelines for feedback:

  1. Constructive and Respectful: Stress the importance of providing constructive and respectful feedback.
  2. Positive Aspects: Students should begin by highlighting something positive about each colleague’s contribution.
  3. Suggestions: Then provide specific ideas for improvements the colleague could consider for future activities.
  4. Self-Critique: Encourage brief self-reflection, where each student shares what they think they could enhance in their own performance.

Conclusion

Duration: 10 to 15 minutes

🎯 Purpose: The conclusion serves to reinforce the lesson's learning, revisiting the key points in an enjoyable and engaging manner. This final phase links theoretical concepts with real-world applications, highlighting the importance of the topic and ensuring students depart with a clear and contextualized understanding of linear functions.

Summary

📚 Lesson Summary: As we wrap up our exploration of linear functions, picture this as an exciting movie trailer about mathematics. 🚀 We discovered how linear functions plot precise lines on the Cartesian plane, identified intercepts on both the x and y axes, and interpreted data from tables representing these functions. All of this was done practically, connecting with the world of digital influencers and addressing common problems.

World

🌍 In the Modern World: Nowadays, linear functions are present everywhere! From predicting social media growth to analysing personal finances, these functions are vital for interpreting and manipulating data. Today's lesson illustrated their importance in understanding and forecasting trends, equipping us to navigate the vast ocean of information we face daily.

Applications

📈 Applications: Grasping linear functions is crucial for solving everyday issues, such as budgeting, forecasting resource usage, and even managing social media growth. These mathematical skills not only bolster our logical reasoning but also better prepare us to make informed real-life decisions.

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