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How can you use dilations and transformations to create a scaled model of a famous building or structure from around the world?

8th Grade  Lesson 30 minutes

"Building Big: Geometry in Real Life!"

Samantha A
8.G.A.3
8.G.A.4
Self Directed Learning
Academic Mindset
Critical Thinking & Problem Solving
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Purpose

Engage in a hands-on exploration of geometric transformations by creating a scaled model of a famous building. Use dilations and congruence to understand the mathematical principles behind architectural design. Develop critical thinking and problem-solving skills by investigating real-world structures and presenting your findings in a collaborative setting. Enhance self-directed learning through reflection and peer feedback, fostering a deeper connection to the material and your role as a learner.

Learning goals

Identify and analyze the geometric properties of famous buildings or structures to understand how dilations and transformations can create scaled models. Develop skills in using coordinates to describe the effects of dilations, translations, rotations, and reflections on two-dimensional figures. Cultivate self-directed learning by reflecting on challenges and successes, and enhance critical thinking by exploring innovative approaches to solving real-world geometric problems.
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

Create a scaled sketch of a famous building or structure using dilations and transformations, and organize a Canva or slide show session to present your findings. Include diagrams and explanations of the geometric transformations applied, focusing on dilations, and invite peer feedback. Facilitate a gallery walk where you can view and provide feedback on each other's work, reflecting on the different approaches and insights gained from the project.

Launch

Begin by exploring a virtual tour of famous buildings around the world, such as the Eiffel Tower, the Colosseum, or the Sydney Opera House. As you observe these structures, take note of their geometric shapes and transformations. Discuss with a partner how these buildings might be represented using dilations and other transformations. This activity will spark curiosity and set the stage for your project on creating a scaled model using geometric principles.

Exhibition

Facilitate a gallery walk where you present your scaled models and research findings on the geometric transformations of famous structures. Use diagrams and explanations to showcase the dilations and congruence applied. Engage in peer review by providing and receiving feedback on each other's presentations. Reflect on the feedback to refine your understanding and presentation skills.
Rubric
Learning Journey
Project Activities
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Plan
Activities
Video Exploration
Activity 5m
Virtual Tour Exploration
Activity 5m
Virtual Exploration
Activity 5m
Group Discussion
Activity 10m
Partner Discussion
Activity 10m
Collaborative Sketching
Activity 10m
Scale Model Planning
Activity 10m
Design and Analysis
Activity 10m
Hands-On Modeling
Activity 10m
Reflective Journal Entry
Activity 5m
Gallery Walk and Peer Feedback
Activity 5m
Reflection and Feedback
Activity 5m
Preparation
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