Principles of Math 10 : Linear Graphing Assignment

Principles of Math 10 : Linear Graphing Assignment
For this assignment you’ll demonstrate your understanding of graphing concepts, and hopefully
apply your creativity and sense of fun as well. In this task, you’ll produce a pretty picture, using
linear functions and vertical lines. Use at least 20 lines: 1 or more verticals, 1 or more
horizontals, and the rest slanted. You’ll include the equation of each line, and it’s domain or
range to limit its length. You probably don’t want to use more than 40 lines; if you do, you won’t
have to list their equations. Keep your picture simple to preserve sanity.
1. If you decide to work with a partner, I’ll expect a more complex picture (>40 lines), with
the workload shared evenly. Choose a partner who is responsible and attends class
2. This assessment will take the place of a review assignment; it will be weighted
approximately as much as a quiz.
3. You show me the project anytime before the due date in order to get advice on improving
it. I will advise you, but not mark your work early. 100% is attainable if you’re willing to
work at it and listen to advice.
4. Use a ruler, a sharp pencil, and be very neat and accurate in your work
5. This work is to be done in the classroom; therefore the project stays in the room.
6. You’ll hand in two items: the grid paper with your lovely artwork on it, and a second
sheet that shows the equation for each line along with a domain/range statement. (Note:
for linear functions, you don’t need both; for other functions, you might!)
7. Each line on the picture will be labelled with a tiny 1, 2, 3, etc. to correspond to the
equation list items.
8. Bonus marks are available for using absolute value or quadratic functions to make V- or
curved shapes
9. Marking Rubric:
Not done/inaccurate
done/accurate = 1
20 (40 for pairs) lines
with matching
At least 1 vertical, 1
horizontal (2 for
pairs) with matching
statements restricting
the lines
At least 3 equations
are in
form with slope and
y-int listed – the rest
can be in SI form, no
need to list m and b.
Artistry: picture is
appropriate to the
season, to math, etc.
Is clever or beautiful
or otherwise
curved lines and their
functions; colour;
more lines than
required, etc.
/21 marks
An Example:
Function List
1) y = -3x + 27
D: -5<x<-3
2) y = 4x –8
D: -4<x<-1.5
3) 3x – 2y – 5 = 0
D: x >= 10
m= 3/2, b= -5/2