Students were given this.

__The Light It Up Game__**For this experiment, you will need:**

• Laser
pointer (or a small flashlight)

• Small,
flat mirror

• Tape
measures (2)

• Wooden
block, about 10 cm tall (or a thick book)

• Tape

• Graphing
calculator (optional)

**a.**Tape one of the tape measures to the wall, beginning at floor level. Place the other tape measure along the floor to measure the distance from the wall to the flashlight.

Place the block 25 cm from
the wall. Place the mirror on top of the block.

Stand on the side of the
mirror opposite the wall. Aim the laser pointer toward the center of the mirror
so that its image is reflected onto the tape measure attached to the wall. (See
figure)

*It is very important that you hold the laser pointer (or flashlight) at the same height throughout the experiment*.

Let

*x*represent the distance from the wall to the laser pointer.
Let

*y*represent the distance that the reflection appears up the wall. Measure both*x*and*y*in centimeters.**b.**What is the distance from the wall to the center of the mirror? _______________

What is the distance from
the laser pointer to the floor? _______________

What is the distance from
the floor to the mirror? _______________

**c.**Collect at least eight data points and enter them in the table below.

DISTANCE FROM THE WALL TO THE LASER POINTER
(x) |
|||||||||

DISTANCE FROM THE FLOOR TO THE REFLECTION (
y) |

**d.**Sketch a graph of your data.

**e.**Use the information in parts (a) to (d) to determine the values of a,

*b*and

*c*in the equation

*a*= ______________

*b*= ______________

*c*= ______________

**f.**Write the equation of your graph.

Equation:

**g.**Determine the distance that you should stand from the wall if the target is . . .

i. 1 meter from the floor.
_______________

ii. 3 meters from the
floor. _______________

iii.
10 meters from the floor. ________________

Here is picture from the next day when we summarized student findings.

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