Advanced Mathematical Thinking™
Grades 9 & 10
Mathematical Modeling
Representing real situations mathematically, assumptions, validation, and interpretation.
1
Formulating
Translating real situations into mathematical models.
2
Assumptions
Making and justifying simplifying assumptions.
3
Validation
Checking models against reality and refining them.
Definition
Mathematical Modeling in one line
Representing real situations mathematically, assumptions, validation, and interpretation.
Every course builds on the last; each opens the next.
Where this leads next
Mathematical Modeling→Precalculus & beyond
Mastering Mathematical Modeling unlocks the reasoning structures of Precalculus & beyond.
Sample challenges
AdvancedApproachable
Foundational Problem
A representative problem for this course — accessible now, with room to generalize.
Modeling
AdvancedChallenging
Stretch Problem
A problem that extends the course's core ideas into non-routine territory.
ModelingReasoning
AdvancedOlympiad
Transfer Problem
Apply this course's structure to a competition or advanced context.
ModelingTransfer