In Geometric Functions activities students create, manipulate, and experience function concepts by treating geometric transformations as functions with points as their variables.
In this capstone activity students apply the swirl function from Special Effects—A Swirling Transformation to several pictures. By animating the function through a continuum of members of the swirl family, students create and observe stunning visual effects. Students are challenged to invent new special effects of their own.
In this activity students will:
(1) Make sense of problems and persevere in solving them; (2) Reason abstractly and quantitatively; (3) Construct viable arguments and critique the reasoning of others; (4) Model with mathematics; (5) Use appropriate tools strategically; (6) Attend to precision; (7) Look for and make use of structure; (8) Look for and express regularity in repeated reasoning.
8.F1,2; 8.G1; F-IF1,2,9; G-CO2; G-SRT1