8th Grade  Lesson 30 minutes

"Diamonds and Dilations: A Geometry Game"

Sofia M
CCSS.Math.Content.8.G.A.3
CCSS.Math.Content.8.G.A.4
Self Directed Learning
Academic Mindset
Critical Thinking & Problem Solving
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Purpose

Explore how geometric transformations like dilations and congruence play a crucial role in real-world contexts, such as sports strategy in baseball and softball. By analyzing the trajectory of a baseball using technology, you will gain insights into how different field positions perceive and react to the ball's movement. This hands-on approach will deepen your understanding of mathematical concepts and enhance your critical thinking skills as you apply these principles to authentic scenarios.

Learning goals

Engage in a hands-on experiment to understand how dilations and transformations affect the trajectory of a baseball from various field positions. Use video analysis to track and predict the path of the baseball, applying mathematical concepts to real-world scenarios. Develop critical thinking skills by exploring innovative approaches to gameplay strategy through role-play activities. Reflect on personal learning experiences and challenges to enhance self-directed learning and academic mindset.
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.
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

Organize a role-play activity where you act out different field positions, using props to visualize and discuss the effects of dilations and transformations on gameplay strategy. Create a visual map of the field, marking the trajectory of the baseball from multiple positions and transformations. Develop a digital presentation that showcases your findings, including video analysis clips and diagrams, to share with your classmates.

Launch

Begin by gathering on the baseball field and observing a live demonstration of a baseball being thrown from the pitcher's mound. Use a video analysis app to capture the throw and discuss how the ball's path changes when viewed from different field positions. Engage in a brief discussion about how these perspectives relate to dilations and transformations. This will set the stage for exploring how these mathematical concepts apply to real-world scenarios in baseball.

Exhibition

Facilitate a gallery walk where you and your classmates display your video analyses and role-play scenarios. Engage in discussions about how different transformations impact gameplay strategies. Invite peers and teachers to provide feedback on your interpretations and strategies. Use this opportunity to reflect on your learning journey and celebrate your insights into the mathematics of baseball.