Skip to main content

The Infinite Skyline: Turning Pi's Digits into a Tangible City MYP 2 Math- Swati Gannavarpu

Objective of the Learning Engagement:

To develop an understanding of the mathematical constant π (pi) and its infinite, non-repeating nature. To enhance data representation skills using histograms and bar graphs. To foster creativity and mathematical thinking through a hands-on, visual representation of numbers.


Details of the Learning Engagement:

Students created a "Pi City" by using the digits of π to construct bar graphs or histograms representing a city skyline. Each digit of π was translated into the height of a building, where:

  • The digits (0-9) corresponded to different bar heights.
  • Students arranged the bars sequentially to create a skyline.
  • They used graphing techniques to ensure accuracy in scale and representation.
  • They added artistic elements to make their "city" visually engaging.
  • This task integrated mathematical reasoning, data visualization, and creativity, making the concept of π more tangible and engaging.

Impact of the engagement on students and reflection as a teacher:

This activity reinforced understanding of π and statistical representation through bar graphs/histograms.
It encouraged students to analyze patterns within π and translate them into meaningful visuals.
It provided a creative outlet to represent a mathematical concept in an artistic way.
Through this activity students worked collaboratively to discuss design ideas and mathematical accuracy.
It helped them connect mathematical data representation with real-world structures and cityscapes.

-SWATI GANNAVARPU

Comments

  1. This activity exhibits integration of mathematical reasoning, creativity, and collaborative learning, beautifully highlighting the potential of hands-on engagements to deepen conceptual understanding. By allowing students to construct their own "Pi City," you not only strengthened their grasp of π and data representation through histograms and bar graphs but also fostered creative expression and teamwork. As you reflect on this innovative activity, what specific impacts did you observe in students’ ability to connect mathematical concepts with real-world visualization, and how might you build on these observations to further inspire diverse mathematical thinking in future lessons?

    ReplyDelete

Post a Comment

Popular posts from this blog

The magic of AI Tutor -MYP 4 Physics- Sheeba Abraham

Objective of the Learning Engagement To reinforce key Physics concepts and improve conceptual clarity by using the Toddle AI Tutor for targeted revision, personalized questioning, and instant feedback, enabling students to identify misconceptions and strengthen their understanding in preparation for assessments.   Learning Engagement: The AI tutor feature on Toddle was introduced to me by Dr. Meetu Agarwal. As the time for revision approached, I decided to utilize this tool to kickstart the revision process. Upon logging into the Create AI Tutor feature, several options were available. I chose the Mastery Builder, where I input the syllabus for the upcoming Physics assessment. The AI then generated a set of instructions along with an AI rating scale, allowing students to be placed at different levels: Beginning, Emerging, Developing, and Mastery. Once the students were assigned their respective levels, the AI guided them with progressively more challenging questions. Upon submittin...

Beyond Black and White: Teaching Moral Complexity Through All My Sons- MYP 4 English LAL- Vivek Mukherjee

Objective of the Learning Engagement:  To study the motivations behind decision making Details of the Learning Engagement: Today in my Grade 9 English class, we explored the idea of decision-making and what drives people to make the choices they do. Our focus was Joe Keller’s fateful decision to ship faulty airplane parts in Arthur Miller’s timeless play All My Sons. Students reflected on what lay behind Keller’s choice: was it mainly socio-economic pressure, or was it a result of his deeply flawed character? This sparked a lively debate in class, with many different perspectives coming to the surface. To wrap up, the students created posters that tried to justify Keller’s decision-making process from different angles.   Impact of the engagement on students and reflection as a teacher: It was inspiring to see such young learners engaging passionately with themes like war profiteering, morality, and survival under extraordinary circumstances. That’s the real magic of literature...

Bringing Stories to Life: When Reading Meets Sketching and Discussion MYP1- Mayura Tiwari

Objective of the Learning Engagement:  Response to literature Details of the Learning Engagement: This is an ongoing activity - the children take turns reading aloud. They are encouraged to respond through sketching in their notebooks what they visualise. Most of them do. In turns, those who are keen - they all are! - , come up to the board and sketch. Four children - a total of eight in two shifts - take their place at the board and sketch as the others read. I get the children to pause and we discuss important parts, making connections to real life, analysing the characters, etc. The purpose is to develop listening skills, oral skills and visualisation through reading aloud. I do stop them also to correct pronunciation, intonation, etc. I establish right at the beginning that I need to help them enhance oral skills and if it is OK with them will make corrections. I get the buy-in from all of them. Some children prefer to continue to read on their own and are allowed to do that. O...