MM.1
Use the full Mathematical Modeling Cycle or Statistical Problem-Solving Cycle to answer a real-world problem of particular student interest, incorporating standards from across the course.
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)?
A 13-meter ladder's bottom is being pulled away from a wall at 2 meters per minute. At a certain instant, the bottom of the ladder is 5 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)?
A person stands meters east of an intersection and watches a car driving toward the intersection from the north at meters per second. At a certain instant, the car is meters from the intersection.
What is the rate of change of the distance between the car and the person at that instant (in meters per second)?
What is the rate of change of the distance between the car and the person at that instant (in meters per second)?

1-on-1 AI tutoring aligned to MM.1. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →