In Geometric Functions activities students create, manipulate, and experience function concepts by treating geometric transformations as functions with points as their variables.
In this activity students create a new function family, the swirl, which behaves differently from any function students have previously explored. The swirl is easily constructed but surprisingly interesting and complex, prompting students to revisit and refine their concepts of function. (This activity is a lead-in to its companion activity, Animated Special Effects—Swirl a Picture.)
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