8th Grade  Lesson 30 minutes

"Formula 1: Racing Through Geometry!"

Kaylie L
8.G.A.3
8.G.A.4
Self Directed Learning
Academic Mindset
Critical Thinking & Problem Solving
1-pager

Purpose

Explore how geometric transformations can be applied in real-world scenarios by assuming the role of Formula 1 engineers. Engage in hands-on activities that simulate race strategies, optimizing car performance through dilations, rotations, and reflections. Develop critical thinking skills by analyzing recent Formula 1 races, understanding how these mathematical concepts influence strategic decisions.

Learning goals

Explore how geometric transformations such as dilations, rotations, and reflections can be applied to real-world scenarios, specifically in Formula 1 racing. Develop critical thinking and problem-solving skills by analyzing race strategies and optimizing car performance through transformations. Enhance self-directed learning by reflecting on challenges and successes in applying these concepts, and foster an academic mindset by establishing connections between mathematics and real-world applications.
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 short video documentary that explores how geometric transformations are applied in Formula 1 engineering and race tactics. Conduct interviews with peers, acting as engineers, to explain how understanding these transformations influences real-world decisions in racing. Use examples from recent races to illustrate your points and demonstrate how transformations like dilations, rotations, and reflections optimize car performance and strategize race maneuvers.

Launch

Begin by watching a short clip of a Formula 1 race, paying close attention to the cars' movements and strategies. Then, discuss in small groups how transformations like dilations, rotations, and reflections might play a role in optimizing a car's performance. Share your thoughts on how these geometric transformations could influence race tactics, setting the stage for your role-playing exercise as Formula 1 engineers.

Exhibition

Facilitate a gallery walk where you showcase your video documentaries, allowing peers to view and discuss the creative ways geometric transformations are applied in Formula 1 racing. Set up stations where you can act as engineers, explaining your strategies and decisions to visitors, and engage in Q&A sessions. Invite feedback from your classmates and teachers to reflect on the insights gained and the connections made between mathematics and real-world applications in racing.