In Geometric Functions activities students create, manipulate, and experience function concepts by treating geometric transformations as functions with points as their variables.
In this two-part activity, students perform dances based on the translation, reflection, rotation, and dilation function families. In part 1, teams of students practice and perform physical dances with one student as the independent variable, another as the dependent variable, and the remaining students as choreographers. In part 2, pairs of students use Sketchpad to perform virtual dances, with one student moving the dependent variable and the other student acting as coach and recorder.
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