Instructions
Euclidean Golf (Rigid Motions)
A low-floor high-ceiling activity, designed to facilitate classroom discussions.
Aligned with NYS Next Generation Learning Standard GEO-G.CO.2:
Represent transformations as geometric functions that take points in the plane as inputs and give points as outputs.
Learning Objectives:
1. Students will explore multiple solutions for each task.
2. Students will discover a set of rules (expressed as functions) for performing different rigid motions.
How to Play
The goal is to hit the golf ball into the hole by performing the least number of strokes (rigid motions) possible.
The game display consists of two views: the action-view (left) and the control panel (right). The control panel allows the user to select and perform different rigid motions and the action-view displays the golf ball undergoing the selected rigid motion.
Score Card
Above the control panel is the score card. The score card displays the current hole, the hole's par, and the score (the number of strokes performed) on the current hole.
The Control Panel
Inside the control panel are three tabs: translate, rotate, and reflect. Click on a tab to select the indicated rigid motion. The selected rigid motion is denoted by the white background and maroon text. To specify the select rigid motion, interact with the sliders and toggle switches. At the bottom of the control panel is the expression for the indicated rigid motion. Click the Swing button to perform the rigid motion. Note, each hole has a max of 5 strokes.
Action-View
To refresh the action-view click the cyclic arrows in the top right.