Listed by Focus
Before Precalc
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starPix -- one clean picture with just 5-pointed stars
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STARS -- 4-, 5-, 6-pointed stars with instructions
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complsuppl -- just complementary & supplementary angles
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transversal -- corresponding, alternate interior, vertical angles and a transversal
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circleFormula -- writes the formula for the depicted circle
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circleTangent -- writes the tangent to a given circle
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NewCentral -- An angle in standard position.
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polyLengthArea -- polygon pictures, notes on area and length measurement
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table -- build and edit a table of data
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trace -- creates point defined by an x-intercept and a calculated value for y of point
then traces the path of the point controlled by the x-intercept
Functions, Lines, Circles
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2graphs.gsp -- 2 graphed functions ready to edit
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2TrigGraphs.gsp -- 1 blank function, 1 parameter-driven function on a "trig plane"
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absValu.gsp -- 2 absolute value functions controlled by parameters
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sqrt -- 2 square root functions defined by easy-edit parameters
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line -- slide points A and B and generate equation of the line in 4 forms.
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piecewise -- graphs a piecewise defined function when left function and right function and the x-value for the boundary are edited -- endpoints are not shown.
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[[x]].gsp -- greatest integer function, also a[[bx+c]] + k
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compositeFX.gsp -- build 2 functions using other functions
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inverse.gsp -- take an inverse of an invertable fdunction, horizontal & vertical line tests
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GraphGivenCircle -- Graph a circle by graphing + and - functions defined by parameters.
* Also states equation of circle.
Polynomial and Rational Functions
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parabola -- Multi page: 2 parabolas: 1 in general form, 1 in standard forms,
* both generated by equations defined by parameters.
* WITH SHOW/HIDE ACTION BUTTON
* graphs of 2 parabolas: 1 in general form, 1 in standard forms,
* 1 parabola, set a, then generat parabola w/2 points.
* 1 parabola controlled by 3 points, used for determinant analysis
* 1 vertical axis of symmetry, 1 horizontal "axis of symmetry"
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TracePoly -- drag point f(x) to state and show new ( x, f(x))
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recipfx -- graph of parameter-defined reciprocal function,
* with slide-able tangent line,
* VERTICAL ASYMPTOTE MUST BE POSITIONED BY USER!
Transendentals, Exponentials, Logs
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logs -- Multi page: 2 logs, log w/exponential
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Dere2x -- Derivative of the exponential
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Derlnx -- Derivative of the Natural Log
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e2xSums -- The Antiderivative of ex
Right Triangle Trig
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cosplay -- just right triangle cosine
TraceSin -- just graph with a slideable point to display coordinates
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sinplay -- just right triangle sine
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tanplay -- just right triangle cosine
Unit Circle and Identities
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unitfx -- 6 functions with a unit circle
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unitSinCosTriangle -- sine & cosine functions with a unit circle
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unitTanSec -- tangent & secant functions with a unit circle
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unitCotCsc -- cotangent & cosecant functions with a unit circle
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Pythagorean -- using only figure to adjust angle
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PythagorIdentities -- using either figure or parameter theta to adjust angle
Trig
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2TrigGraphs.gsp -- 1 blank function, 1 parameter-driven function on a "trig plane"
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sinplay -- just right triangle sine
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cosplay -- just right triangle cosine
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tanplay -- just right triangle tangent
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TraceSin -- drag point f(x) to state and show new ( x, f(x))
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TraceCos -- drag point f(x) to state and show new ( x, f(x))
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TraceTan -- just graph with a slideable point to display coordinates
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SinCosTan1stDay -- Just sine, cosine, tangent of right triangle angles.
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SinCosTan6fx -- All 6 functions in right triangle only.
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SinCosTanAllNumbers -- All 6 functions in right triangle and forall numbers,
* controlled by figure for right triangle,
* parameter-defined angle measure in degrees for all measures, and
* parameter-defined angle measure in decimal number times pi for radian measures
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sinNcos.gsp -- sine and cosine in right triangle only
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2 Sine Functions -- Asin(Bx-C) + D on 2 functions for comparison also h(x) = sine + cosine
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SinTraceDerSums -- Sine from many views, right triangle, ABCD, derivative, antiderivative
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polar.gsp --
r()=asin(b
-c)+d
Limits
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limit -- take a limit by dragging x -- drag x and see where f(x) is going or by epsilon-delta
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limh4Dx -- Really shows the derivative is the limit of the diference quotient. Use this one!!
Derivatives
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DerAnyFx -- Derivative of Any Function
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DerCos -- Derivative of Cosine
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Dere2x -- Derivative of the exponential
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Derlnx -- Derivative of the Natural Log
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DerReciprocal -- Derivative of the Reciprocal Function
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DerSqrt -- Derivative of the Square Root
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limh4Dx -- Really shows the derivative is the limit of the direrence quotient. Use this one!!
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DerReciprocal -- by use of a tangent line
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DerAnyFx -- a function is graphed w/tangent line.
* One may trace the function and see coordinates displayed.
* One may edit the function. * One may graph the approximate derivative function.
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DERe2x -- by use of a tangent line
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DerSqrt -- simple curve and tangent. Could make it fancy.
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DerSquare -- simple graph w/tangent of x2. Could make it fancy.
Trig Derivatives
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DerCos -- cosine graph, movable tangent line w/equation,
* m derived by simple m formula (h=.01), * "derivative" may be graphed.
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DerivCos -- display cosine graph and entire difference quotient triangle (not the best)
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DerivSin -- full blown 4-page sketches ** Use this
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DerSin -- simple sine and tangent line. Use other DerivSin.
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DerTan -- tangent function & tangent line graphed, actual derivative function is provided & may be graphed.
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