8th Grade  Project 2 weeks

3D Transform-o-Matic Magic!

Christi B
8.3A
8.3B
8.3C
8.10A
8.10B
+ 7 more
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Purpose

This project aims to deepen students' understanding of mathematical transformations by creating and analyzing 3D models that bridge virtual simulations with real-world applications such as gaming and animation. Students will engage in hands-on learning, developing critical thinking skills and content expertise through the use of transformations to innovate digital designs. By collaborating with community partners like maker spaces and showcasing their work, students will enhance their communication skills and gain a sense of belonging, while taking charge of their learning process through self-reflection and peer feedback.

Learning goals

The learning experience aims to deepen students' understanding of mathematical transformations, particularly dilations, reflections, rotations, and translations on a coordinate plane. Students will apply these concepts to design and animate realistic 3D models, bridging mathematics and technology. Through this project, they will develop skills in self-directed learning, critical thinking, and effective communication while collaborating with community partners to explore real-world applications in gaming and animation.
Standards
  • [Texas] 8.3A - generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation
  • [Texas] 8.3B - compare and contrast the attributes of a shape and its dilation(s) on a coordinate plane
  • [Texas] 8.3C - use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation.
  • [Texas] 8.10A - generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane
  • [Texas] 8.10B - differentiate between transformations that preserve congruence and those that do not
  • [Texas] 8.10C - explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation
  • [Texas] 8.10D - model the effect on linear and area measurements of dilated two-dimensional shapes.
Competencies
  • Self Directed Learning - Students use teacher and peer feedback and self-reflection to monitor and direct their own learning while building self knowledge both in and out of the classroom.
  • Academic Mindset - Students establish a sense of place, identity, and belonging to increase self-efficacy while engaging in critical reflection and action.
  • Critical Thinking & Problem Solving - Students consider a variety of innovative approaches to address and understand complex questions that are authentic and important to their communities.
  • Content Expertise - Students develop key competencies, skills, and dispositions with ample opportunities to apply knowledge and engage in work that matters to them.
  • Effective Communication - Students practice listening to understand, communicating with empathy, and share their learning through exhibiting, presenting and reflecting on their work.

Products

Throughout this experience, students will create virtual 3D models that utilize mathematical transformations, culminating in physical 3D printed versions of these models. Additionally, students will design simple interactive games or animations incorporating these transformations, featured during the Transformative Games Night. As part of their reflective documentation, students will produce a visual portfolio including sketches, notes, transformation sequences, and insights into their academic and emotional growth through the project's duration.

Launch

Set the stage with a 'Shape-Shifter Challenge,' inviting students to design virtual models using mathematical transformations. They will then use programming to animate these models, sparking curiosity about the role of transformations in gaming and animation. This hands-on activity introduces students to real-world applications and lays the groundwork for exploration and experimentation throughout the project.

Exhibition

During the 'Transformative Games Night,' students will showcase their interactive games or animations utilizing their transformation skills. They will invite peers, teachers, and community members to play and engage with the projects, demonstrating the applied mathematical concepts. Guests will provide feedback on the gameplay and the creative integration of transformations, fostering a rich dialogue between students and attendees.