"Dilation Dazzle: Steal a Shape!"

Design for Mastery Kit

NEW

All grades Lesson 30 minutes

"Dilation Dribbles: Soccer Shapes & Sizes"

Ramiro V

8.G.A.3

8.G.A.4

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Purpose

Explore how dilations impact the size and shape of objects in real-world contexts, such as in soccer where the field and equipment may be scaled. Engage in a hands-on digital experiment to simulate these transformations, enhancing your understanding of geometric concepts. Develop an interactive presentation to showcase your findings, demonstrating how these mathematical principles apply to everyday objects. Reflect on your learning journey by documenting the challenges and successes you encountered while applying dilations and congruence.

Learning goals

Explore how dilations impact the size and shape of objects by engaging with digital simulations and documenting your findings. Develop an understanding of the mathematical concepts behind dilations and transformations, and apply these to create an interactive presentation showcasing real-world examples. Reflect on your learning process, identifying challenges and successes in applying these concepts to everyday objects.

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.

Products

Design an interactive presentation using a digital tool to showcase the effects of dilations on everyday objects, like a soccer field. Include before and after visuals to highlight changes in size and shape, and explain the mathematical concepts behind these transformations. Ensure your presentation clearly demonstrates the sequence of transformations, including dilations, and how they relate to congruence and similarity.

Launch

Imagine you're a soccer coach tasked with designing a new team logo. Begin by observing the current logo on a soccer ball or jersey and consider how you might transform it using dilations. Use a digital tool to experiment with resizing the logo, maintaining its proportions while exploring different sizes. Share your initial designs with a partner, discussing how the changes in size affect the logo's appearance and functionality on various team merchandise.

Exhibition

Organize a virtual showcase where you present your interactive presentation to classmates and teachers. Facilitate a gallery walk where you can view and provide feedback on each other's work, focusing on the application of dilations in real-world contexts. Invite peers to ask questions and discuss how the concepts of dilations and congruence can be applied in various fields, such as architecture and design.

Plan

Activities	Introduction to Dilations - Observe the current soccer team logo on a ball or jersey, discuss its features, and brainstorm ideas for transformation using dilations. (5 min) Digital Experimentation - Using a digital tool, resize the soccer team logo by applying dilations. Ensure that the proportions are maintained while exploring different sizes. Document the steps and outcomes in your digital portfolio. (15 min) Partner Discussion - Share your initial logo designs with a partner, discussing how the changes in size affect the logo's appearance and functionality on various team merchandise. (5 min) Interactive Presentation Preparation - Begin creating an interactive presentation using a digital tool to demonstrate how dilations can be applied to the soccer logo, including before and after visuals. (5 min)
Deliverables	1. Complete a digital simulation of dilations and transformations on a 2D soccer logo, documenting each step and outcome in your digital portfolio. 2. Develop an interactive presentation that demonstrates how dilations are applied to everyday objects like soccer fields, including before and after visuals. 3. Write a reflective journal entry detailing the challenges and successes experienced while applying dilations and congruence. 4. Participate in a virtual showcase where you present your interactive presentation and engage in a gallery walk to provide and receive feedback on the application of dilations in real-world contexts.
Preparation	1. Gather digital tools or software that can simulate geometric transformations, such as GeoGebra or Desmos. 2. Prepare a selection of soccer logos and images of soccer fields to use as examples for dilation exercises. 3. Create a digital portfolio template for students to document their experiment steps and outcomes. 4. Develop a sample interactive presentation to guide students in creating their own. 5. Set up a virtual platform for the final showcase, ensuring it supports interactive presentations and peer feedback.