84 Activity Central - Calculus - Limits of Functions by Texas Instruments

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Calculus: Limits of Functions Classroom Activities		Download
$hero$ Limits of Indeterminant Forms In this activity, students will graph f(x)=sin(x)/x in order to visually determine the limit as x approaches zero. They will confirm the answer numerically by tracing left and right limit points on a graph and looking at values in a table. Standards Textbook	TI-84 series	Download771
$hero$ Making Limits Exist In this activity, students will graph piecewise functions and evaluate numerically and graphically the left hand limit and the right hand limit of the function as x approaches a given number, c. Standards Textbook	TI-84 series	Download1,006
$Graphical_Consequences_6$ Graphical Consequences of Continuity Students explore the graphical and numeric consequences of continuity. Standards Textbook	TI-84 series	Download5,027
To Infinity and Beyond! Students' develop an understanding of what it means to take a limit at infinity. They learn to estimate limits from graphs and tables of values. Standards Textbook	TI-84 series	Download5,160
Approaching Limits In this activity, students' will investigate, both graphically and numerically, the limit of a function at a point. They will examine how a function behaves as the input approaches a particular value. They will estimate limits from graphs, and tables of values. Standards Textbook	TI-84 series	Download6,171
Average Rate of Change, Difference Quotients, and Approximate Instantaneous Rate of Change. In this activity, the average rate of change between two points is defined and then used as a concept connecting ideas of slope, difference quotients, and approximations of instantaneous rate of change. Standards Textbook	TI-84 series	Download5,409
Graph of Functions and Their Derivatives In this activity, students observe the derivative as an indicator of increasing/decreasing function behavior. They also see that the derivative is an indicator of local maxima/ minima function behavior. Students learn to associate the graph of a function with its derivative. Standards Textbook	TI-84 series	Download4,781
$Local_Linearity_2$ Local Linearity, Differentiability and Limits of Difference Quotients In this activity, students explore a graphical feature of some functions called local linearity. They also investigate the link between local linearity and differentiability through several examples. Standards Textbook	TI-84 series	Download4,767

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