Basic HTML Version
Q
uantitative
R
easoning &
P
roblem
S
olving
408
© 2014 Pacific Crest
●
Based on the dimensions provided by your instructor, determine an estimate for the total number of
candies in the jar. Predictions must be made within five minutes of class starting and include justifi-
cations based upon the mathematical model.
●
Compare your result with the other class members and the instructor. The student with the closest
estimate will be the winner and will get the jellybeans!
●
What changes would you make in your mathematical model because of your increased understand-
ing?
W
hat Do You Already Know?
Tapping into your existing knowledge
1. When you use an internet search, what do you provide as inputs?
2. When you use an internet search, what do you expect to be provided with as a result?
3. What is the relationship between the inputs and the outputs for an internet search?
4. What do you think are the mathematical relationships between the inputs and the outputs?
M
athematical Language
Terms and notation
constraints
—
limitations which restrict the values of the model input and output
deterministic model
—
when executing the model multiple times, there will be a consistent set of
output values for each set of input values
mathematical model
—
a mathematical description of a phenomenon or relationship
mathematical
relationships
—
operations that convert model input to model output
model
input
—
the data entered into the model for calculations to be performed
model output
—
the data generated by the model for a given set of input values
probabilistic model
—
when executing the model multiple times, there will be a distribution of a set
of output values for each set of input values
validation
—
agreement between the model and real-world conditions
I
nformation
What you need to know
R
eadings
R
esources
M
ethodology
A
nalyzing and
U
sing a
M
athematical
M
odel
Scenario:
How do you calculate the correct tip at a restaurant? Multiply the total bill with a
tip rate and then divide by the number of people paying. Or use a model such as
those available on the companion website.