Functions
This component allows the user to
type in an algebraic function. The function can
be displayed in a graph, table, or used to control
animation in another component. Functions can
include the parameter "n" and this parameter
can be adjusted by another component such as a
slider. Thus "n*sin(x)" allows the user
to explore the effect of adjusting the amplitude
of a sine wave.
Sample problems: Shoelaces,
Graph Zooming
Example EPoWs:
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Shoelaces I-III
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The Problem: Students use graphing
skills to help store customers choose the
best shoelace length and giftwrappers the
best ribbon length.
Where's the Math: The problem encourages
students to make predictions and develop
generalizations from data represented on
a graph; in part II and III students explore
issues of scale and y-intercepts.
NCTM Standards: Data analysis and probability,
measurement, algebra
Components: simple graph, PEN, simple
function, swing slider, text editor, HTML
viewer, Javascript
Shoelaces 1 | 2 | 3
Click on the links above to learn more about the problem series, the math involved, sample solutions, and developers'
assessment
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Graph Zooming
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The Problem: Students use different
buttons to zoom a graph. They then investigate
what objects on the graph are visible and
what isn’t, depending on which scale
the zoom displays.
Where's the Math: By asking students
about the intersection between two lines,
this problem involves solving two linear
equations graphically. However, the main
purpose of the problem is to investigate
what happens when a graph is zoomed with
different scales. This allows students to
become more familiar with Cartesian coordinates,
and the representations of certain lines
when graphed in such a coordinate system.
NCTM Standards: Algebra, geometry
Components: SimCalc, Functions,
JavaButton components
Learn
more about the problem, the math
involved, sample solutions, and developers'
assessment
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For additional information about this or other
components, contact Mark
Chung, ESCOT Component Coordinator
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