Maze ProjectMs. Boyle

Adv. Functions

Due: On or before ______

Part I: Finding equations of lines

Every student will be given the same copy of a maze. The line is made up entirely of straight lines. You will be finding the equations of the lines on the maze. You will NOT be finding EVERY equation, so please read all the directions before doing anything to the maze.

The first thing you will be doing is selecting the lines of the equation you will find. You need to select:

  1. Two lines that have an undefined slope and mark them in green
  2. Two lines that have a slope of 0 and mark them in red
  3. One line with slope between 0 and 1 and mark it in pink
  4. One line with slope between -1 and 0 and mark it in yellow
  5. One line with slope 1 and mark it in blue
  6. One line with slope -1 and mark it in orange
  7. One line with slope greater than 1 and mark it in purple
  8. One line with slope less than -1 and mark it in brown

You will need to extend the lines past the border of the maze in order to find all the information required.

For each line you will be finding:

slope

y-intercept in the form (0, y)

x-intercept in the form (x, 0)

equation of the line (in any form)

Be sure to organize your work so it is easy to follow. Also be sure to show ALL work!

If at any time the extended line does not cross the x or y axis, the correct answer for the intercept would be none. Do not confuse the lack of the intercept for the origin!

General note: it would be completely impossible for two people to select ALL identical lines. Should this occur, it would be considered cheating and will result in a zero for this section of the project.

Part II: Drawing your own maze

Each student will be given a blank sheet of graph paper to create their own maze. Note that all mazes need to be created with ONLY straight lines, similar to the samples hanging in the room. I highly recommend using a PENCIL and a RULER for this process. The maze must have a START and END. Additionally, your maze should be solvable.

Before drawing your maze – I would read what you are going to be doing with your maze, to make sure you have all the necessary parts to your maze.

Part III: Equations of YOUR maze

In this portion of the project you will be finding the equations of some of your lines. The first thing you must do is select the lines you will be working with.

  1. Select a set of parallel lines that does NOT have slope zero or undefined. Mark these two lines in the same color.
  2. Select a set of perpendicular lines and mark these two lines in the same color.
  3. Show your maze to Ms. Boyle, she is going to select a segment of your maze for find the equation of a piecewise function.

For part a & b you will again be find the slope, x-intercept, y-intercept, and equation of the lines. Additionally, you will include an explanation of how you know the lines in part a are parallel and the lines in part b are perpendicular.

For part c you will be writing a piecewise function for the highlighted portion of your maze. This means you need the equation for the line segments with the proper bounds.

Part IV: Reflection

Typed responses to the following questions in paragraph form (in Times New Roman, size 12 – double spaced)

  1. What was the hardest part of this project? What was the easiest part?
  2. Which form a line did you use to find the majority of the lines? Would there have been an easier form to use? Why did you choose the form you used?
  3. What difficulties (if any) did you encounter while working with the piecewise function?
  4. If you could change this assignment to make it better, what would you do? Be specific. If you would not make any changes, why not?

Due date check ins:

Part I:______

Part II:______

Part III:______

Final portion:______
Name:______

Block: ______

Maze Project Point Distribution

Section / Parts / Points Earned / Points Possible
1: Finding Equations / 10 lines
Slope (1pt each)
x-intercept (1 pt each)
y-intercept (1 pt each)
equation (1.5pts each) / 45
2: Drawing your own maze / Meeting all the requirements / 10
3: Equations of YOUR maze / Parallel lines
Slope, equation , intercepts ( 8 pts)
Reason know parallel (2 pt)
Perpendicular lines
Slope, equation , intercepts ( 8 pts)
Reason know perpendicular (2 pt)
Piecewise function
Correct bounds (4 pts)
Correct equations (6 pts) / 30
4: Reflection / Correct format (2 pts)
Answer in complete sentences (2 pts)
Answered all parts completely (6 pts) / 10
General Neatness / Clear & easy to read
Color coding followed / 5
Total / 100