Evaluate Limits Using Graphs and Tables: Where Is That Limit?

Airline mechanics must be precise, or the consequences could be deadly. Their target ranges alter with changes in temperature and pressure. When preparing an airplane for flight, you must read a maintenance graph. The second lesson of...

So this is the real test? The resource provides the free-response questions from the 2011 AP Calculus AB exam. The six questions are split into two sections, calculator and non-calculator items. Several resources give teachers...

Limit the amount one forgets about limits. A mid-unit review lesson has individuals complete a learning exercise of problems on limits. They go over the meaning of limits, evaluate limits algebraically, use graphs and tables to find...

A graph is a graph is a graph. This video reviews different types of graphs (line, bar, circle, histogram, scatter plot) using a matching game. It also describes the purpose of each type of graph to help learners remember when to use...

Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.

Challenge: Sketch a graph of a quadratic function without making a table of values. High schoolers learn how different parameters affect the graph of a quadratic function. The problem video focuses on dilations of quadratic graphs.

Limits can provide some valuable information about graphs. A slider interactive lets learners see the behavior of a graph around asymptotes. They investigate relationships between limits and asymptotes.

Discontinuities in the graph? No worries. Pupils investigate the limit of a function given graphically using an interactive. The graph has removable and jump discontinuities.

A one-sided limit is no less important than a two-sided limit. Young mathematicians use an interactive to match limit notation to graphs. The exercise requires interpreting how one-sided limits connect to features of graphs.

Not everything that's one-sided is bad. A slider interactive aids learners in investigating one-sided limits from graphs. A set of challenge questions assesses their understanding of the relationship between one- and two-sided limits.