Goal Work with a partner to design a geometric golf hole where the pre-image (original shape or starting function) is moved through a series of transformations.

Process for Design 1. Utilize 3-6 transformations – 1 mark translations (left, right, up, down) *can be more than 1 square but can only go one direction at a time stretches (vertical or horizontal) reflection over the x- or y-axis reflection over the line y = x (inverse relation)

2. Use a variety of transformations – 1 mark

3. Create obstacles (minimum of 2) – 1 mark sandpit (can’t use translation out of here) pond/water (if you land here, add a stroke and swing again) trees others? Must be HAND DRAWN Can’t translate or stretch through obstacles! Note: Less is more

4. Explain the strategy behind your obstacles. – 2 marks The tree in quadrant 1 forces a reflection since you can’t translate through an obstacle.

5. Graph the pre-image (represents the ball, minimum of 3 points), and the post-image (represents the hole - same shape as “ball”) Label points. – 1 mark Note: not all pre-images will be functions but function notation is used to solve the “hole”, discuss with your students this inconsistency

6. On the graph, label the x- and y-axis and the scale – 1 mark

7. Describe your solution on a separate sheet – 10 marks example of format below Tee: Function f(x)Transformation Mapping Position: (1, 2)… Plot new position on graph and label “Swing 1” If you reflect, name which axis (x or y) or the line y=x (if you are taking the inverse) If translating state which direction and how far Ex) Horizontal translation left 3 units

Cat in the Hat Solution

Cat in the hat Solution graph

8. Determine a Par for the hole (average number of transformations), try different methods to help you decide. Explain your reasoning! – 2 marks

Things to Remember Must be drawn on grid paper Get a photocopy BEFORE drawing in solution Cite any copyrighted characters or pictures