Name _____________________
Hole in One!
 

In this activity, you will explore reflections that are used on a miniature golf course that will produce a hole in one. Open the file called golf.gsp on your computer. You will see a golf course with a ball and hole on the screen. You can click and drag the ball and hole to place them anywhere on the course.

On this course, you can shoot a hole in one by directly aiming at the hole, trying to bounce off of one wall, or trying to bounce off of two walls. Double clicking on a hit wall button will illustrate the ball's path to the hole in one shot. To avoid confusion, make sure you double click on a corresponding hide path button before clicking on another hit wall path. If the ball's pathway falls outside of the course boundaries, then you cannot get a hole in one using that particular method and have to try another method.

Explorations Questions

Write your answers to the following questions in the space provided. When you answer the questions, make sure you describe how you found the answer and why you think your answer is correct. Write about the measurements you make and how they are used to determine your answer.
 

1. Which path would be the easiest one to take for a hole in one? Why do you think so?_________________________________________
___________________________________________
___________________________________________
___________________________________________
___________________________________________
2.What method (hitting no walls, hitting one wall, or hitting two walls) will the ball travel the smallest distance to reach the hole? Is this answer always true? ___________________________
____________________________________________
____________________________________________
____________________________________________
____________________________________________
 
3. Draw a pathway that would require at least one bounce in order to reach the hole. Explain why. 

  

  

  

  

  

  

 

4. Draw a pathway that would require exactly two bounces in order to reach the hole. Explain why. 

  

  

  

  

  

  

  

  

 

5.Notice that when the ball hits a wall three angles are formed. Compare the angle formed by the path of the ball and the wall as the ball hits the wall to the angle formed as the ball leaves the wall. How are these two angles related? Is this always true?_________________________________________________________________
____________________________________________________
__________________________________________________
__________________________________________________
__________________________________________________
 

6. How can using reflections help you determine where the ball should be hit on the wall to make it turn and go into the hole? _________________________________________________________________
__________________________________________________
__________________________________________________
__________________________________________________
__________________________________________________

7. Play a miniature golf game with your partner. Here are the rules:

1. Have one player place the hole and ball anywhere on the course.
2. Have the other player guess where the ball will hit the wall when aiming to hit the ball off of one wall. Place a point on the screen at the location of the guess. ( To place a point on the screen: Go to the toolbox on the left side of the screen. Click on the square that is second from the top. Then click the place on the wall where you want to put your point.)
3. Double click on the Hit one wall button. Measure the distance from the guess and the actual location where the ball hits the wall. Record this value below.
4. Double click on the Hide path button underneath the Hit one wall button. Create a different course by dragging some of the points along the edges of the course to change its shape and size.
5. Switch roles and repeat steps 1 to 4 until each partner has played the game three times.
Add up the three measurements. The person with the lowest sum is the winner.