Slope Fields

Graphing and analyzing slope fields and comparing relationships to differentiable equations and indefinite integrals. Identifying the relationship between slope fields and differential equations.

Mapped to AP College Board # FUN-7, FUN-7.C, FUN-7.C.1, FUN-7.C.2, FUN-7.C.3

Solving differential equations allows us to determine functions and develop models. Estimate solutions to differential equations. A slope field is a graphical representation of a differential equation on a finite set of points in the plane. Slope fields provide information about the behavior of solutions to first-order differential equations. Solutions to differential equations are functions or families of functions.