In Geometric Functions activities students create, manipulate, and experience function concepts by treating geometric transformations as functions with points as their variables.
Students explore rotations as functions. They construct a rotation function, label the variables using function notation, and trace the variables to compare their paths. Students restrict the domain to reveal the corresponding range, and they change the angle and move the center to create different members of the rotation family. Finally, students solve rotation challenges by figuring out the center and angle to match an existing rotation.
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