8th Grade  Project 3 weeks

"Dilation Division Delight!"

Mariana M
CCSS.Math.Content.8.G.A.3
CCSS.Math.Content.8.G.A.4
CCSS.Math.Content.8.G.A.1
Self Directed Learning
Academic Mindset
+ 1 more
1-pager

Purpose

Explore the mathematical principles of dilations and transformations by creating a scale model of a famous building. This project will deepen your understanding of geometric concepts and their real-world applications, fostering critical thinking and problem-solving skills. By designing and building a digital 3D model, you will engage in self-directed learning and develop a sense of identity and belonging through collaborative feedback and reflection.

Learning goals

Create a scale model of a famous building using dilations, and understand how transformations affect two-dimensional figures. Develop skills in using digital tools like SketchUp to design accurate 3D models. Reflect on your learning process and growth through a digital portfolio. Enhance your ability to articulate mathematical concepts by presenting your work in a video presentation. Engage in self-directed learning, critical thinking, and problem-solving throughout the project.
Standards
  • [Common Core] CCSS.Math.Content.8.G.A.3 - Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
  • [Common Core] CCSS.Math.Content.8.G.A.4 - Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
  • [Common Core] CCSS.Math.Content.8.G.A.1 - Verify experimentally the properties of rotations, reflections, and translations:
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.

Products

Create a digital 3D model of a famous building using SketchUp, applying dilations to ensure accuracy. Develop a digital portfolio that includes photos, sketches, and written reflections on your learning journey. Produce a short video presentation showcasing your scale model, highlighting key learning moments, and discussing how your understanding of dilations has evolved. Share your digital model on a class website and facilitate a gallery walk to view and provide feedback on peers' projects.

Launch

Kick off your project with an immersive virtual tour of a famous building, such as the Eiffel Tower or the Sydney Opera House, using VR or online resources. As you explore, note the building's dimensions and unique features, considering how these might be represented in a scaled model. Discuss with your peers how dilations can transform the building's dimensions while maintaining its proportions, setting the stage for your own digital 3D model creation.

Exhibition

Organize a virtual gallery walk where you showcase your digital 3D models on a class website. Invite peers, teachers, and family members to view your work and provide constructive feedback. Present your short video, highlighting your scale model and insights on dilations, to engage the audience in your learning journey. Use this opportunity to reflect on your growth and explore how mathematical transformations apply to real-world structures.