Algebra 2
Quarter 1 Project
STAINED GLASS
Lesson Description: Stained Glass Window is a project that requires students to write
graph Linear Equations in order to create a colorful display window, while working with
mathematics. Each student will write a set of at least 15 linear equations. These
equations will be a combination of vertical, horizontal, parallel and perpendicular lines.
This visual project will help students identify the equations of horizontal and vertical
lines. It will also allow students work with the slopes of parallel and perpendicular lines.
Key vocabulary will also be developed.
Math Content: Linear Equations, Graphing Linear Equations, Parallel Lines,
Perpendicular Lines, Standard Form, Slope, y-intercept.
Content Objectives:
 The student will be able to write and graph a set of parallel equations.
 The student will be able to write and graph a set of perpendicular equations.
 The student will be able to write and graph an equation for vertical and horizontal
lines.
Language Objectives:
 The student will explain how the slopes of parallel lines are related.
 The student will describe the slope of a vertical line.
 The student will describe the slope of a horizontal line.
Materials: rulers, graph paper, pencils, colored markers
Grade Level: Algebra 2 (college or honors)
Procedure: As a class, complete the stained glass window worksheet. Students will
need to write and graph linear equations to complement a given set of equations. The
combination of both will create a sample stained glass window. Students will write the
devised linear equations in Standard Form for homework.
Next, the students will need to write and graph two vertical equations and two horizontal
equations to give the dimensions of their window. Then the student will write a series of
parallel and perpendicular equations to create a visually pleasing stained glass window.
Once the graph is complete, color will be added.
Finally, students will complete a worksheet where each equation necessary to construct
the window is written in both y = mx+b and in Standard Form. The worksheet will
require students to label a set of perpendicular equations, a set of parallel equations,
vertical equations, and horizontal equations. To complete the project, the student will
submit a separate sheet with all vocabulary used in the project.
Name____________________________
Sample Stained Glass Window
1. Graph the following equations on a coordinate plane (held vertically)
y = 18
y = -18
x = 12
x = -12
What is the slope of each equation?
2. Graph the set of equations.
y = 4x – 8
y=-¼x–8
Classify this pair of lines. Explain your reasoning.
3. Graph the set of equations.
y = 4x + 8
y = 4x
Classify this pair of lines. Explain your reasoning.
4. Write an equation of a line that complements the lines from #s 1, 2, and 3.
Is this line parallel or perpendicular to any of the other given equations? Explain
your reasoning.
5. Continue to add at least 5 lines to complete the construction of this window.
List the additional equations below.
Remember, the final product should be pleasing to the eye.
HOMEWORK: On the reverse of this page, write all of your
equations in standard form. Then, add color to your window.
Stained Glass Window
Stained glass is an art form in which colored glass is cut into shapes and placed into a
mosaic to form a picture. The glass is held in place by metal strips soldered together to
gives the stained glass strength and stability.
You will create your own stained glass window using linear equations. Remember the
examples viewed in class when designing your window. Be sure to use color to enhance
your creation.
STEPS
1.
Make an outline of a window that will enclose your design. Write those
equations in slope-intercept form.
2. Add a set of parallel lines to the inside of your window. This set can be as small
as 2 lines, but as large as you wish. Write two of the equations in Standard Form.
3. Add a set of perpendicular lines to the inside of your window. Again, you need
to include at least 2 lines in this set. Write two of the equations in Standard
Form.
4. Add a horizontal line and a vertical line to the inside of your window.
5. Fill in the window with other lines that you can use to enhance your design.
6. Add color to your window. Remember, the color should be bright and vibrant.
7. Complete the YOUR STAINED GLASS WINDOW worksheet.
Your construction must contain a total of 20 lines. You must include four of each:
Horizontal lines, vertical lines, perpendicular lines, parallel lines.
GRADING
Worksheet
Window
Design & Color
List of Equations
TOTAL
40 pts
30 pts
10 pts
20 pts
100 pts
This quarterly assessment is due on ________________________________.
This assessment contributes to 25% of your final grade.
LATE or incomplete work is NOT accepted.
Name__________________________________________
Project Worksheet
Respond to each question completely. Use complete sentences when necessary.
1.
Parallel Lines
a.
Give a set of parallel lines from your window written in Standard Form.
Show your work.
b. Describe the slopes of parallel lines.
2.
Perpendicular Lines
a.
Give a set of perpendicular lines used in your construction, written in
Standard Form. Show your work.
b. Describe the slopes of perpendicular lines.
3.
Horizontal Lines
Write an equation of one of the horizontal lines used in your construction.
Describe the slope of a horizontal line.
4.
Vertical lines
Write an equation of one of the vertical lines used in your construction.
Describe the slope of a vertical line.
5.
On a separate sheet of paper, list all of the equations necessary to construct
your window. Remember each of the requirements listed on the rubric. Any
format (point-slope, slope-intercept, Standard Form) is acceptable.