Dive into the artistic design of geometric transformations, crafting visually compelling art that highlights dilatation and congruence. Enhance your critical thinking and problem-solving skills by experimenting with transformations on graph paper and constructing a 3D model. Reflect on your creative journey through journaling, and share your insights and creations with peers to build a collaborative and supportive learning environment.
Learning goals
Explore how transformations such as dilations, translations, rotations, and reflections affect two-dimensional figures using coordinates. Develop skills in constructing and explaining the transformation process of geometric figures through hands-on activities and model creation, incorporating artistic design elements. Engage in self-directed learning by reflecting on challenges and successes, while fostering critical thinking and problem-solving through innovative approaches to demonstrate dilatation and congruence in art.
Standards
[California] 8.G.A.3 - Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
[California] 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.
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
Design a 3D model using paper or cardboard that illustrates the transformation of a geometric figure, incorporating artistic elements such as color and patterns to enhance visual appeal. Record a class presentation where you creatively explain the transformation process and the sequence of transformations applied. Facilitate a gallery walk to view and provide feedback on each other's models and presentations, reflecting on how effectively they demonstrate dilatation and congruence.
Launch
Begin with a gallery walk showcasing famous artworks or designs that incorporate geometric transformations, such as the work of M.C. Escher or contemporary street art. As you explore, identify and discuss the transformations you observe, paying particular attention to dilations and congruence. This artistic exploration will ignite your curiosity and provide a creative context for your upcoming hands-on project.
Exhibition
Facilitate a gallery walk where you display your 3D models alongside your transformation documentation, incorporating artistic design elements such as color and creative shapes. Invite classmates to explore each exhibit, offering constructive feedback and asking questions about the transformation process. Record a short video presentation explaining your model and the sequence of transformations, which can be shared with peers and family members to celebrate your learning journey.