High School Grade
  • Project
  • 4 weeks

Transformative Logo Adventure: Design and Animate!

Jared McElroy
CCSS.Math.Content.HSG-CO.A.1
CCSS.Math.Content.HSG-CO.A.2
CCSS.Math.Content.HSG-CO.A.3
CCSS.Math.Content.HSG-CO.A.4
CCSS.Math.Content.HSG-CO.A.5
+ 4 more

Purpose

Students will engage in a dynamic exploration of geometry through the creative process of designing and animating a logo. This project encourages students to apply geometric transformations to enhance the visual appeal and functionality of their designs, fostering a deeper understanding of mathematical concepts. By documenting their process in a digital portfolio, students will demonstrate their ability to integrate mathematical theory with artistic expression, culminating in a unique animated logo that reflects their personal brand or business idea.

Learning goals

Students will explore and apply geometric transformations such as rotations, reflections, and translations to design and animate a logo. They will deepen their understanding of geometric concepts by constructing and manipulating geometric figures, using both traditional and digital tools. Through this project, students will develop skills in visual storytelling and digital design, while also enhancing their ability to document and reflect on their creative process.
Standards
  • CCSS.Math.Content.HSG-CO.A.1 - Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
  • CCSS.Math.Content.HSG-CO.A.2 - Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
  • CCSS.Math.Content.HSG-CO.A.3 - Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
  • CCSS.Math.Content.HSG-CO.A.4 - Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
  • CCSS.Math.Content.HSG-CO.A.5 - Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
  • CCSS.Math.Content.HSG-CO.C.9 - Prove theorems about lines and angles.
  • CCSS.Math.Content.HSG-CO.C.10 - Prove theorems about triangles.
  • CCSS.Math.Content.HSG-CO.D.12 - Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
  • CCSS.Math.Content.HSG-CO.D.13 - Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

Products

Students will develop a digital portfolio that captures their animated logo design journey, featuring initial sketches, transformation sequences, and reflections on geometric applications. The final product will be an animated logo that effectively utilizes geometric transformations to visually represent a personal brand or business idea. Throughout the project, students will also create a series of transformation diagrams and annotations that demonstrate their understanding and application of geometric concepts in their designs.

Launch

Begin the project with an interactive workshop where students explore existing animated logos from popular brands, analyzing the geometric transformations used in their designs. Encourage students to brainstorm and sketch initial ideas for their own logos, considering how transformations like rotations and reflections can add visual interest. Facilitate a discussion on how these elements can enhance both the aesthetic appeal and functional communication of a brand's identity.

Exhibition

Host a digital showcase where students present their animated logos to peers, teachers, and community members. Each student can explain their design process, highlighting how geometric transformations were used to enhance their logo. Encourage feedback and questions from the audience to foster a deeper understanding and appreciation of the mathematical concepts applied. Consider creating an online gallery where the animated logos and design portfolios are accessible for broader community engagement.