MA19.PRE.7

Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.7
Determine numerically, algebraically, and graphically the limits of functions at specific values and at infinity.

Unpacked Content

Knowledge

Students know:

How to graph the families of functions.
How to factor, simplify, and rationalize functions.
How to evaluate functions at a given input value.

Skills

Students are able to:

Identify continuity and discontinuity (if discontinuous, identify the type).
Calculate limits.

Understanding

Students understand that:

Functions have various types of continuity and discontinuity.
That limits can be determined numerically, graphically, and algebraically.
converging means that a limit exists, while diverging means that a limit does not exist.

Vocabulary

Limit
Convergent
Divergent
Continuous function
Discontinuous function
Discontinuity (infinite, jump, removable)

Aligned Learning Resources

Limit Notation

Concept of Limit Interactive

Introduction to Limits

Concept of Limit Practice

Suiting Up

Evaluate Limits Using Graphs Interactive

Evaluate Limits Using Graphs Practice

Substitution to Find Limits

Evaluate Limits Using Substitution

The Limits of Tolerance

Infinite Limit Type Practice

The Limits of Speed

Improper Integrals: Integrating Over Infinite Limits

Convergence and Divergence of Integrals Practice

Design by Adaptive Theme