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© 2014 Pacific Crest
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A
Successful Performance
Successful application of your learning looks like this
As you begin to apply what you’ve learned, you should have a good idea of what success looks like.
A SUCCESSFUL
PERFORMANCE
I use representations to describe the dynamics of a relationship. I...
●
Decide which transformation I should use
●
Provide a full description of the relationship dynamics
D
emonstrate Your Understanding
Apply it and show you know in context!
What representations would you use in the following situations? Explain your rationale.
1. As one of the student representatives to the Student Success Initiative, you have been given access
to everyone’s grades for the last two years (the names have been replaced by numbers so that student
privacy is protected). The Initiative is working to determine how to help students who have failed at
least one course. Once you have discovered a potential solution to the problem, how would you share
your thinking and understanding with others so they agree with your analysis?
2.
h
(
t
) = –16
t
2
+ 70
t
+ 150 describes the relationship between the
height above the ground
and
time
for
a ball thrown upward. What is the best way to represent critical times in this relationship (such as
when the ball reaches its peak height and when it hits the ground) and the height the ball reaches?
3. It is April 12th and you’re trying to get your taxes finished. You have managed to put together a
complete set of your paychecks stubs for the year (you are paid every two weeks) and the tax tables
you need to use are in front of you. The tables show how much you should pay in taxes each year
for the amount you earned in that year. Your paycheck stubs show how much in taxes was deducted
from your gross pay and how much you were paid. How do you proceed and what representations
do you use?
H
ardest Problem
How hard
can
it be? Can you still use what you’ve learned?
Based on the Models, the Methodologies, and the Demonstrate Your Understanding (DYU) problems in
this activity, create the
hardest
problem you can. Start with the hardest DYU problem in this experience
and by contrasting and comparing it with the other DYU problems, play “What if” with the different
conditions and parameters in the various problems.
Can you still solve the problem? If so, solve it. If not, explain why not.
What are the conditions and parameters that make a problem where you must use different representations to
describe relationships a difficult problem to solve?
6.2 Symbolic, Graphical, Numerical Representations