  # Geometer's Sketchpad Done & Old Stuff

Notes & TOC    Listed by Focus    Listed Alphabetically    Old Stuff    GSPfa21.htm

 Listed by FocusBefore Precalc starPix   -- one clean picture with just 5-pointed stars STARS   -- 4-, 5-, 6-pointed stars with instructions complsuppl   -- just complementary & supplementary angles transversal   -- corresponding, alternate interior, vertical angles and a transversal circleFormula   -- writes the formula for the depicted circle circleTangent   -- writes the tangent to a given circle distance   -- start w/a segment, coordinatize it, build triangle, use Pythagorean Theorem to find distance NewCentral   -- An angle in standard position. polyLengthArea   -- polygon pictures, notes on area and length measurement table   -- build and edit a table of data 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 2graphs.gsp  -- 1,2 graphed functions, piece-wise, composite ready to edit absValu.gsp  -- 2 absolute value functions controlled by parameters sqrt   -- 2 square root functions defined by easy-edit parameters line   -- slide points A and B and generate equation of the line in 4 forms. [[x]].gsp -- greatest integer function, also a[[bx+c]] + k 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. parentFX   -- function "manipulatives" -- curve shift to graph functions, many functions provided parentFX2   -- revised function "manipulatives" generator   -- used to make the parent function sketch pad compositeFX.gsp  -- build 2 functions using other functions inverse.gsp -- take an inverse of an invertable fdunction, horizontal & vertical line tests GraphGivenCircle   -- Graph a circle by graphing + and - functions defined by parameters.     * Also states equation of circle. Polynomial and Rational Functions 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 TracePoly   -- drag point f(x) to state and show new ( x, f(x)) recipfx   -- graph of parameter-defined reciprocal function,     * with slide-able tangent line,     * VERTICAL ASYMPTOTE MUST BE POSITIONED BY USER! Transendentals, Exponentials, Logs logs   -- Multi page: 2 logs, log w/exponential Dere2x -- Derivative of the exponential Derlnx -- Derivative of the Natural Log e2xSums -- The Antiderivative of ex Right Triangle Trig cosplay   -- just right triangle cosine TraceSin   -- just graph with a slideable point to display coordinates sinplay   -- just right triangle sine tanplay   -- just right triangle cosine Unit Circle and Identities unitfx   -- 6 functions with a unit circle unitSinCosTriangle   -- sine & cosine functions with a unit circle unitTanSec   -- tangent & secant functions with a unit circle unitCotCsc   -- cotangent & cosecant functions with a unit circle Pythagorean   -- using only figure to adjust angle PythagorIdentities   -- using either figure or parameter theta to adjust angle Trig 2TrigGraphs.gsp  -- 1 blank function, 1 parameter-driven function on a "trig plane" sinplay   -- just right triangle sine cosplay   -- just right triangle cosine tanplay   -- just right triangle tangent TraceSin   -- drag point f(x) to state and show new ( x, f(x)) TraceCos   -- drag point f(x) to state and show new ( x, f(x)) TraceTan   -- just graph with a slideable point to display coordinates SinCosTan1stDay   -- Just sine, cosine, tangent of right triangle angles. SinCosTan6fx   -- All 6 functions in right triangle only. 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 sinNcos.gsp   -- sine and cosine in right triangle only 2 Sine Functions -- Asin(Bx-C) + D on 2 functions for comparison also h(x) = sine + cosine SinTraceDerSums -- Sine from many views, right triangle, ABCD, derivative, antiderivative polar.gsp -- r( )=asin(b -c)+d Limits limit   -- take a limit by dragging x -- drag x and see where f(x) is going or by epsilon-delta Derivatives derivativeTests -- Derivative Tests & DerAnyFx DerAnyFx -- Derivative of Any Function DerCos -- Derivative of Cosine Dere2x -- Derivative of the exponential Derlnx -- Derivative of the Natural Log DerReciprocal -- Derivative of the Reciprocal Function DerSqrt -- Derivative of the Square Root limh4Dx   -- Really shows the derivative is the limit of the direrence quotient. Use this one!! DerReciprocal   -- by use of a tangent line 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. DERe2x   -- by use of a tangent line DerSqrt   -- simple curve and tangent. Could make it fancy. DerSquare   -- simple graph w/tangent of x2. Could make it fancy. Trig Derivatives DerCos   -- cosine graph, movable tangent line w/equation,     * m derived by simple m formula (h=.01),     * "derivative" may be graphed. DerivCos   -- display cosine graph and entire difference quotient triangle (not the best) DerivSin   -- full blown 4-page sketches ** Use this DerSin   -- simple sine and tangent line. Use other DerivSin. DerTan   -- tangent function & tangent line graphed, actual derivative function is provided & may be graphed. Reimann Sums & Boxes ReimannSums.gsp -- n=8 and 32 LEFT, RIGHT, MIDPOINT slide [a,b] and set [a,b] ReimannSumNotes.pdf -- for taking notes in class and 4 questions (graphics included) ReimannSumANSWERS.pdf -- answers only to student notes/questions e2xSums -- The Antiderivative of ex

 Listed Alphabetically 2graphs.gsp  -- 2 graphed functions ready to edit 2parabolas.gsp  -- one in standard form, one in general form 2 Sine Functions -- Asin(Bx-C) + D on 2 functions for comparison also h(x) = sine + cosine 2TrigGraphs.gsp  -- 1 blank function, 1 parameter-driven function on a "trig plane" absValu.gsp  -- 2 absolute value functions controlled by parameters circleFormula   -- writes the formula for the depicted circle circleTangent   -- writes the tangent to a given circle complsuppl   -- just complementary & supplementary angles compositeFX.gsp  -- build 2 functions using other functions conics   -- circle, ellipse, hyperbola, eccentricity, parabola, family of parabolas, animation of "a," the parabola dilator cosplay   -- just right triangle cosine DerAnyFx -- Derivative of Any Function DerCos -- Derivative of Cosine Dere2x -- Derivative of the exponential derivativeTests -- Derivative Tests & DerAnyFx Derlnx -- Derivative of the Natural Log DerReciprocal -- Derivative of the Reciprocal Function DerSin -- Derivative of the Sine DerSqrt -- Derivative of the Square Root DerSquare -- Derivative of the Square DerTan -- Derivative of the Tangent 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. DerCos   -- cosine graph, movable tangent line w/equation,     * m derived by simple m formula (h=.01),     * "derivative" may be graphed. DERe2x   -- by use of a tangent line DerivCos   -- display cosine graph and entire difference quotient triangle (not the best) DerivSin   -- full blown 4-page sketches ** Use this DERlnx   -- by use of a tangent line DerReciprocal   -- by use of a tangent line DerSin   -- simple sine and tangent line. Use other DerivSin. DerSqrt   -- simple curve and tangent. Could make it fancy. DerSquare   -- simple graph w/tangent of x2. Could make it fancy. DerTan   -- tangent function & tangent line graphed, actual derivative function is provided & may be graphed. distance   -- start w/a segment, coordinatize it, build triangle, use Pythagorean Theorem to find distance e2xSums -- The Antiderivative of ex elevation   -- angles of elevation and depression and geometry on angle created by transversal generator   -- used to make the parent function sketch pad GraphGivenCircle   -- Graph a circle by graphing + and - functions defined by parameters.     * Also states equation of circle. [[x]].gsp -- greatest integer function, also a[[bx+c]] + k inverse.gsp -- take an inverse of an invertable fdunction, horizontal & vertical line tests limit   -- take a limit by dragging x -- drag x and see where f(x) is going or by epsilon-delta limh4Dx   -- Really shows the derivative is the limit of the direrence quotient. Use this one!! line   -- slide points A and B and generate equation of the line in 4 forms. logs   -- Multi page: 2 logs, log w/exponential NewCentral   -- An angle in standard position. 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 parentFX   -- function "manipulatives" -- curve shift to graph functions, many functions provided parentFX2   -- revised function "manipulatives" 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. polar.gsp -- r( )=asin(b -c)+d polyLengthArea   -- polygon pictures, notes on area and length measurement Pythagorean   -- using only figure to adjust angle PythagorIdentities   -- using either figure or parameter theta to adjust angle radianSector   -- arc length, sector area, radians recipfx   -- graph of parameter-defined reciprocal function,     * with slide-able tangent line,     * VERTICAL ASYMPTOTE MUST BE POSITIONED BY USER! ReimannSumANSWERS.pdf -- answers only to student notes/questions ReimannSumNotes.pdf -- for taking notes in class and 4 questions (graphics included) ReimannSums.gsp -- n=8 and 32 LEFT, RIGHT, MIDPOINT slide [a,b] and set [a,b] SinCosTan1stDay   -- Just sine, cosine, tangent of right triangle angles. SinCosTan6fx   -- All 6 functions in right triangle only. 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 sinNcos.gsp   -- sine and cosine in right triangle only sinplay   -- just right triangle sine SinTraceDerSum -- Sine from many views sqrt   -- 2 square root functions defined by easy-edit parameters starPix   -- one clean picture with just 5-pointed stars STARS   -- 4-, 5-, 6-pointed stars with instructions table   -- build and edit a table of data tanplay -- -- just right triangle tangent 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 TraceCos   -- drag point f(x) to state and show new ( x, f(x)) TracePoly   -- drag point f(x) to state and show new ( x, f(x)) TraceSin   -- just graph with a slideable point to display coordinates transversal   -- corresponding, alternate interior, vertical angles and a transversal unitCotCsc -- Unit circle, cosine, cosecant only unitTanSec -- Unit circle, tangent, secant only unitSinCosTriangle-- Unit circle, sine, cosine only unitfx   -- 6 functions with a unit circle

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