Linear Equations Project- Due Date: March 10th or 11th
Handing the project in by the due date earns you 5 points. Every DAY that it is handed in late, will result in a loss of a
point from those 5 points. This will be inputted as a 100 point formative grade.
Part 1: Stained Glass Window
Directions:
1. Graph the following 12 linear equations on the graph paper provided, using a ruler. Be sure to show your
work as to how you changed the form of each equation, in order to graph them. If you need extra space,
you may use a separate piece of paper to show your work.
2. Label each line with the equation on the graph paper.
3. Color in your stained glass window with different colors to enhance your design.
4. Use the following rubric to understand how your project will be graded.
Creativity
Neatness
Accuracy
Completeness
Following
Directions
3 points
2 points
1 point
0 points
Different colors
are used and
consistent with
design.
Colors are used
but mostly
consistent with
design.
Colors are used
but not
consistent with
design.
Minimal colors
used/no colors
used.
Lines are drawn
neatly with
ruler. Coloring
is precise.
Lines are not
drawn straight
(no ruler used).
Coloring is
precise.
Lines are not
drawn straight
(no ruler used).
Coloring looks
hurried.
Ruler not used.
Not colored in
nicely (coloring
looks rushed).
All lines are
drawn correctly.
No errors are
made.
Lines are drawn
but contain 1-3
errors.
Lines are drawn
but contain 4-7
errors.
Lines contain
more than 7
errors or no
lines were
drawn at all.
Work was
shown for all
the linear
equation.
Work was
shown for 8-11
equations.
Work was
shown for 5-7
equations.
Work was
shown for less
than 5
equations or
not shown at
all.
All lines are
labeled on the
graph correctly.
8-11 lines are
labeled
correctly.
5-7 lines are
labeled
correctly.
Less than 5
lines are
labeled
correctly
Total out of 15: ______________
Stained Glass Window
Line 1:
8 + 2y = -x
Line 2:
6x = 4y – 48
Line 3:
Line 4:
-2y = -24
5+x=5
Line 5:
Line 6:

3
x  12  3 y
2
6y + 24 = 3x
Line 7:
Line 8:
x = -2y + 8
5y  
Line 9:
Line 10:
12y = -144
1
3
y   x6
2
4
Line 11:
Line 12:
4
1
1
y x
3
2
15
x  60
2
8 + 3y = 8
Stained Glass Window Project
Part 2: Using Piecewise Functions to Draw the Olympic Torch
The following picture is made up of multiple linear equations. Write the linear equation, in any form, for each part of
the picture.
When writing the linear equations you must:
 At least 6 equations should be written in slope-intercept form.
 At least 6 equations should be written in point-slope form.
 Use compound inequalities to describe the domain.
You will be graded based upon the following rubric.
Category
Completeness
Segments
Equations
Domain
Following Directions
3
All parts are
complete.
All of the segments
were named
correctly.
All equations for the
segments are
correct.
All domains are
correct.
All three directions
were followed.
2
17-13 parts are
complete.
1
12-9 parts are
complete.
0
Less than 9 parts are
complete.
Less than 9 segments
were named
correctly.
17-13 segments were
named correctly.
12-9 segments were
named correctly
17-13 equations are
correct.
12-9 equations are
correct.
Less than 9 equations
are correct.
17-13 domains are
correct
Two out of the three
directions were
followed.
12-9 domains are
correct.
1 out of the three
directions were
followed.
Less than 9 domains
are correct.
The directions were
followed.
Total out of 15: _________________________
Equations: Torch
Segment: _______
Segment: _______
Segment: _______
Equation: ___________________
Equation: ___________________
Equation: ___________________
Domain: _______________
Domain: _______________
Domain: _______________
Segment: _______
Segment: _______
Segment: _______
Equation: ___________________
Equation: ___________________
Equation: ___________________
Domain: _______________
Domain: _______________
Domain: _______________
Segment: _______
Segment: _______
Segment: _______
Equation: ___________________
Equation: ___________________
Equation: ___________________
Domain: _______________
Domain: _______________
Domain: _______________
Segment: _______
Segment: _______
Segment: _______
Equation: ___________________
Equation: ___________________
Equation: ___________________
Domain: _______________
Domain: _______________
Domain: _______________
Segment: _______
Segment: _______
Segment: _______
Equation: ___________________
Equation: ___________________
Equation: ___________________
Domain: _______________
Domain: _______________
Domain: _______________
Segment: _______
Segment: _______
Segment: _______
Equation: ___________________
Equation: ___________________
Equation: ___________________
Domain: _______________
Domain: _______________
Domain: _______________
Part 3 – Design Your Own – Graph and Equations
Draw your own picture using linear equations. Your picture must include each of the following:







At least different 10 lines.
A letter label at each point.
Must be a picture, not a design.
Use all four quadrants.
Use at least one of each positive, negative, zero, and no slope.
A pair of parallel lines that are not horizontal or vertical.
A pair of perpendicular lines that are not horizontal or vertical.
You will be graded based upon the following rubric.
Category
3
2
Completeness
All segments drawn
of the graph have a
segment name,
domain, and
equation to go along
with it.
More than half of the
parts of the graph
have a segment
name, domain, and
equation to go along
with it.
Following directions
All seven parts have
been satisfied.
Accuracy - Equations
All equations are
accurate.
Accuracy - Domain
All domains are
accurate.
4-6 of the parts are
satisfied.
75% or more of the
equations are
accurate.
75% or more of the
domains are
accurate.
1
Between 25-50% of
the parts of the
graph have a
segment name,
domain, and
equation to go along
with it.
2-3 parts are
satisfied.
50% or more of the
equations are
accurate.
50% or more of the
domains are
accurate.
Neatness
All parts are clear,
legible, with nothing
crossed off.
Some parts are
difficult to read or
not neat.
Either the graph or
the equations are not
neat or clear.
0
Less than 25% of the
parts of the graph
have a segment
name, domain, and
equation to go along
with it.
0-1 parts are
satisfied.
Less than 50% of the
equations are
accurate.
Less than 50% of the
domains are
accurate.
Neither the graph
nor the Equation
parts are clear,
legible, or neat.
Total out of 15 points: ___________________
Design your own: Graph
Design your own: Equations
Segment: _______
Segment: _______
Segment: _______
Equation: ___________________
Equation: ___________________
Equation: ___________________
Domain: _______________
Domain: _______________
Domain: _______________
Segment: _______
Segment: _______
Segment: _______
Equation: ___________________
Equation: ___________________
Equation: ___________________
Domain: _______________
Domain: _______________
Domain: _______________
Segment: _______
Segment: _______
Segment: _______
Equation: ___________________
Equation: ___________________
Equation: ___________________
Domain: _______________
Domain: _______________
Domain: _______________
Segment: _______
Segment: _______
Segment: _______
Equation: ___________________
Equation: ___________________
Equation: ___________________
Domain: _______________
Domain: _______________
Domain: _______________
Segment: _______
Segment: _______
Segment: _______
Equation: ___________________
Equation: ___________________
Equation: ___________________
Domain: _______________
Domain: _______________
Domain: _______________
Segment: _______
Segment: _______
Segment: _______
Equation: ___________________
Equation: ___________________
Equation: ___________________
Domain: _______________
Domain: _______________
Domain: _______________