C.MM.1.2

Create mathematical models to explain phenomena that exist in the natural sciences, social sciences, liberal arts, fine and performing arts, and/or humanities contexts.

Example Problems
The radius of a sphere is decreasing at a rate of 2 feet per minute. At a certain instant, the radius is 15 feet.
What is the
rate of change of the volume of the sphere at that instant (in cubic feet per minute)?
The radius of a sphere is increasing at a rate of 0.25 meters per hour. At a certain instant, the radius is 6 meters.
What is the
rate of change of the volume of the sphere at that instant (in cubic meters per hour)?
The radius of a sphere is increasing at a rate of 5 kilometers per day. At a certain instant, the radius is 2 kilometers.
What is the
rate of change of the volume of the sphere at that instant (in cubic kilometers per day)?
Goblins

1-on-1 AI tutoring aligned to C.MM.1.2. 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 →