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North Carolina Standard Course of Study
Integrated Mathematics III
Algebra:
Competency Goal 3: The learner will use relations and functions to solve problems.
Calculating...
Lesson  (...)
Activity  (...)
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.

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.

Activity: Students can create graphs of functions by entering formulas -- similar to a graphing calculator.

Activity: Create graphs of functions and sets of ordered pairs on the same coordinate plane. This is like a graphing calculator with advanced viewing options.

Activity: Enter a complex value for "c" in the form of an ordered pair of real numbers. The applet draws the fractal Julia set for that seed value.

Activity: Students create linear inequalities and systems of linear inequalities on a coordinate plane. This is like a graphing calculator with advanced viewing options.

Activity: Enter a set of data points and a function or multiple functions, then manipulate those functions to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.

Activity: Manipulate a linear function of the form f(x)=mx+b using slider bars. Explore the relationship between slope and intercept in the Cartesian coordinate system.

Activity: Investigate the relationships between the Mandelbrot set and Julia sets by clicking and zooming.

Activity: Enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form. This is an introduction to the idea of prisoners/escapees in iterated functions and the calculation of fractal Julia sets.

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