Mathematical Modeling
PrintThe full Mathematical Modeling and Statistical Problem-Solving cycles drive the work: students choose real problems, select tools across functions, geometry, statistics, and linear algebra, and interpret results in context. Coordinate geometry, trigonometric ratios, probability, regression, and geometric modeling all appear as resources for solving authentic, student-selected problems.
Example Problems
A ‑meter ladder's bottom is sliding toward a wall at meters per minute. At a certain instant, the bottom of the ladder is meters from the wall.
What is the rate of change of the distance between the top of the ladder and the ground at that instant (in meters per minute)?
What is the rate of change of the distance between the top of the ladder and the ground at that instant (in meters per minute)?
and
Solve the equation.
The image files captured by a drone have a mean size of with a standard deviation of .
What will be the mean of the distribution of file sizes in kilobytes?
equals .
What will be the mean of the distribution of file sizes in kilobytes?
equals .
What is the median of the following numbers?
A set of wrist watch prices is normally distributed with a mean of and a standard deviation of .
What proportion of wrist watch prices are between and ?
You may round your answer to four decimal places.
What proportion of wrist watch prices are between and ?
You may round your answer to four decimal places.

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