Download Student Task, Data and Rubric Option #1

Performance Assessment Task – Option #1
The Footprint
A computer was stolen from the school office. The police have three suspects, but very little
evidence. The only evidence they have is a footprint in the snow. The footprint is from a
boot that is either a size 11 men’s boot, or a size 13 women's boot. Conduct a mathematical
analysis using this single piece of evidence and a linear relation to predict the height of the
culprit. Prepare a written report for the police that explains your calculations and findings.
For this activity, you will prepare a presentation for the police, explaining how you
determined the height of the thief. The presentation must include:

any relevant graphs, charts, and data.

all your calculations, including the equations of two lines.

a discussion of any sources of error and assumptions you made.
© AAC…everyday assessment tools to support student learning
Mathematics 10C: The Footprint
November 2013
Student Materials
Optional Student Data: The Footprint
The following data was obtained when two classes measured their height and
compared it to shoe size.
Females
Shoe Size
Height
(Inches)
8
65
9
64
7
65
8
67
7
65
7.5
68
7
61
9
64
8.5
65
5
59
9
68
7
61
7
63
7.5
67
6
62
6.5
63
7
64
6
61
7
65
6
63
6
61
Males
Shoe Size
Height
(Inches)
11
68
10.5
66
10.5
72
8.5
65
9
72
9.5
67
8.5
66
8
62
10
67
11
75
12
72
12
73
10
66
10
70
10.5
69
9.5
65
12.5
71
8
69
10
72
7
63
8
63
13
73
11
72
12
71
9
70
10.5
71
7.5
67
© AAC…everyday assessment tools to support student learning
Mathematics 10C: The Footprint
November 2013
Student Materials
Rubric: The Footprint
Student _____________________________________ Date _____________________
Level
Excellent
Proficient
Adequate
Constructs a
graph that
credibly reflects
the collected
data.
Constructs a
graph that
partially reflects
the collected
data.
Constructs a
graph that
inaccurately
reflects the
collected data.
Uses graphed
data to determine
a substantially
correct equation
of the line.
Uses graphed
data to determine
a partially
correct equation
of the line.
Unable to use
graphed data to
determine the
equation of the
line.
Uses the
equation to
develop a
perceptive
prediction of
the suspect's
height.
Uses the
equation to
develop a
reasonable
prediction of the
suspect's height.
Uses the
equation to
develop a
simplistic
prediction of the
suspect's height.
Unable to use
the equation of
the line, leading
to a sketchy
prediction of
the suspect's
height.
Prepares an
insightful
presentation
with skillful
communication
of the
mathematical
strategies used.
Prepares a
credible
presentation with
effective
communication of
the mathematical
strategies used.
Prepares a
rudimentary
presentation with
simplistic
communication of
the mathematical
strategies used.
Prepares an
unsupported
presentation
with
inappropriate
communication
of the
mathematical
strategies used.
Limited *
Insufficient/
Blank *
Criteria
Draw a graph
from a set of
ordered pairs
(Relations and
Functions 4)
Constructs a
graph that
precisely
reflects the
collected data.
[C, CN]
Uses graphed
data to
determine an
accurate
equation of the
(Relations and
Functions 5 and 7) line.
Determine the
equation of a
linear relation
No score is
awarded
because there is
insufficient
evidence of
student
performance
based on the
requirements of
the assessment
task.
[PS, R]
Solve a problem,
using the
equation of a
linear relation
(Relations and
Functions 5 and 7)
[PS, R, V, CN]
Communicate
findings
[C, CN]
* When work is judged to be limited or insufficient, the teacher makes decisions about appropriate intervention to
help the student improve.
© AAC…everyday assessment tools to support student learning
Mathematics 10C: The Footprint
November 2013
Student Materials
Please note: This rubric may have been modified. To view the most recent AAC version, please visit www.aac.ab.ca.