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.
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? ___________________________
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?_________________________________________________________________
|3. Draw a
pathway that would require at least one bounce in order to reach the hole.
|4. Draw a
pathway that would require exactly two bounces in order to reach the hole.
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.
1st distance = _____ 2nd distance
= ______ 3rd distance = ______ Sum = ________