Interactivate: Standard Expectation

6 items total

Organization: North Carolina Standard Course of Study
Grade Band: Calculus (AP)
Standard Goal: The learner will demonstrate an understanding of the behavior of functions.

Develop a geometric understanding of graphs of continuous functions. (Intermediate Value Theorem and Extreme Value Theorem).
Understand continuity in terms of limits.
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Develop a geometric understanding of graphs of continuous functions. (Intermediate Value Theorem and Extreme Value Theorem).

Graphs and Functions	Lesson: Demonstrates the connections between formulas and graphs.
Data Flyer	Activity: Enter a set of data points, then derive a function to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.
Function Flyer	Activity: A more advanced version of Slope Slider, this activity allows the manipulation of the constants and coefficients in any function thereby encouraging the user to explore the effects on the graph of the function by changing those numbers.

Understand continuity in terms of limits.

Graphs and Functions	Lesson: Demonstrates the connections between formulas and graphs.
Data Flyer	Activity: Enter a set of data points, then derive a function to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.
Function Flyer	Activity: A more advanced version of Slope Slider, this activity allows the manipulation of the constants and coefficients in any function thereby encouraging the user to explore the effects on the graph of the function by changing those numbers.