NAME: _________________________
A PERIOD: ______
B PERIOD: ______
DATE: _________
DUE DATE: __________________
Creating Stained
Glass Windows
Graphing Linear Equations End of Chapter Project
Ms. Barrios, Rm 432, Gateway STEM High School
1
2013 – 2014
Creating Stained Glass Windows Instructions
This project will help you develop a firm understanding on how artists and engineers use linear equations to build stained
glass windows.
Standard (s):
 Understand and compare the properties of linear and nonlinear functions
 Analyze linear and quadratic functions by investigating rates of change, intercepts and zeros
 Use symbolic algebra to represent and solve problems that involve linear and quadratic relationships
Essential Question:
Enduring Understandings:
How can slope be used to create structures?
By understanding the different components of slope,
buildings and other structures can be created so they can be
visually pleasing.
Context
Real World Application:
Stained glass is an art form that requires artistic skill to create appropriate and workable designs. It also requires
the engineering skills to assemble each piece. Your task is to make a visually pleasing design of a stained glass
window and to make a modified design of your original to fit a different situation. You will also need to think
about which location you would want to display your window.
Procedures
You will create 1 stained glass window by graphing equations on the coordinate planes provided. You will discuss
how your stained glass window has a “workable design” and in which location you would want to display your
window.
Guiding Steps
1.) Research stained glass windows and organize your information _____
2.) Choose equations to make your window and follow other instructions on pg 4 _____
3.) Using pencil, graph the 12 equations on the graph paper ______
4.) Color each section a different color ______
5.) First draft of response to written questions ______
6.) Partner will proofread instructions, initial each proofread question, & turn in to Ms. Barrios _______
7.) Write final draft of written questions _______
Product(s)
Audience:
Product:
1 “stained glass” window
Math paragraphs in response to written questions
2
People participating in your location (students,
business people, church go-ers, etc.)
What I Know About Stained Glass Windows:
Name of article I researched & source (author or website):
________________________________________________________
What I knew about stained glass windows before doing my research:
What I Learned:
How they are made:
They are located in:
Famous buildings that have them:
How math is used to create stained glass windows:
How do you anticipate using math
to make your own stained glass
window?
3
Draw an example of a stained glass window & label where you think the
math is being used to make the window visually pleasing:
Creating Stained Glass Window
Circle three linear equations in each box and write them in the blanks below. Complete each table by finding the x- and
y-intercepts OR the slope and the y-intercept. You will label if the line has a positive, negative, zero or undefined slope
in the appropriate blank. Make sure to circle your answer if necessary. Then graph the twelve linear equations on the
coordinate plane on the sheet of graph paper. Write the equation neatly (and in pencil) on each line that you graph.
x = -8
x=5
x = -15
x = 12
x = 10
x = -4
______________
y = -9
y = -13
y=2
y = 11
y = -6
y=8
______________
y = 6x – 7
1
y  x4
2
y = 4x + 8
y = -2x
2
y  x  12
7
3
y   x 8
10
______________
x + y = -9
8x + y = 16
2x + y = 8
2x – 10y = 30
-2x + y = -14
-4x + 8y = -48
______________
X – Intercept:
m = ____
m = ____
m = ____
b = ____
b = ____
b = ____
Slope of the line is
Slope of the line is
Slope of the line is
______________
______________
Y – Intercept:.
______________
______________
X – Intercept:
m = ____
m = ____
m = ____
b = ____
b = ____
b = ____
Slope of the line is
Slope of the line is
Slope of the line is
______________
______________
Y – Intercept:
______________
______________
X – Intercept:
m = ____
m = ____
m = ____
b = ____
b = ____
b = ____
Slope of the line is
Label the slope:
Y – Intercept:
Slope of the line is
4
Using Math to Understand the Creation of Stained Glass Windows
1. When do you graph equations by using slope and the y-intercept? When do you graph equations by using
intercepts? Why is it important to know what method to use when to graphing equations?
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
2. Describe the window that you created. Using at least 4 vocabulary words from this chapter, write about the
different components of your window. Use complete sentences (at least 4 – 5) and proper grammar.
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
3. Explain how the slope of each line affects the design of one of your stained glass windows. In other words,
describe how your window would look different if the slope of each line were steeper (if m was a large number)
or flatter (if m was a small number like a fraction). Use words such as positive, negative, undefined, or zero
slope and write your answer in 4 – 5 complete sentences.
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
4. Write a math paragraph about the mathematical process for making your window. What did you do first,
second, third, etc? Be very specific and use at least 4 vocabulary words from the chapter.
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
5
Scoring Rubric
Section 1Researching
Pre-Reading: Researching Stained Glass Windows
- 2 pts each section
______ / 12
Section 2 Equations
Stained Glass Window Equations
- Correct Slope
- Correct Y-intercept
- Labeled Slope Correctly
- Found Intercepts Correctly
_______ / 9
_______ / 9
_______ / 12
_______ / 12
Section 3 Graphing
Stained Glass Window Graphs
- Each equation is graphed correctly (1 pt each)
- Each section is colored (8 pts)
_______ / 12
_______ / 12
Section 4 Writing (1/3 of grade!)
Part 1 of Written Assignment
- Question 1
o 4 – 5 coherent and complete sentences answer entire question
o All questions are answered
- Question 2
o 4 – 5 coherent and complete sentences
o 4 vocabulary words used
- Question 3
o 4 – 5 coherent and complete sentences
o 4 vocabulary words used
- Question 4
o 4 – 5 coherent and complete sentences
o 4 vocabulary words used
Part 2 of Written Assignment
- Proofread Partners Paragraphs
_______ / 5
_______ / 5
_______ / 5
_______ / 5
_______ / 5
_______ / 5
_______ / 5
_______ / 5
_______ / 7
Comments:
FINAL GRADE:
Project Total: __________ / 125 pts
6