 # Geometer's Sketchpad Done & Old Stuff

Notes & TOC    Listed by Focus    Listed Alphabetically    Old Stuff
 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 distance   -- start w/a segment, coordinatize it, build triangle, use Pythagorean Theorem to find distance circleFormula   -- writes the formula for the depicted circle circleTangent   -- writes the tangent to a given circle NewCentral   -- An angle in standard position. Functions, Lines, Circles 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 parentFX   -- function "manipulatives" -- curve shift to graph functions, many functions provided parentFX2   -- revised function "manipulatives" generator   -- used to make the parent function sketch pad 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 2parabolas.gsp  -- one in standard form, one in general form parabolas   -- graphs of 2 parabolas: 1 in general form, 1 in standard forms,     * both generated by equations defined by parameters. parabolasWdetails   -- SAME AS parabolas but     * WITH SHOW/HIDE ACTION BUTTON     * graphs of 2 parabolas: 1 in general form, 1 in standard forms,     * both generated by equations defined by parameters. 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 Right Triangle Trig cosplay   -- just right triangle cosine Unit Circle and Identities unitfx   -- 6 functions with a unit circle Pythagorean   -- using only figure to adjust angle PythagorIdentities   -- using either figure or parameter theta to adjust angle Trig 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 TraceCos   -- drag point f(x) to state and show new ( x, f(x)) TraceSin   -- just graph with a slideable point to display coordinates sinplay   -- just right triangle sine tanplay   -- just right triangle cosine 2 Sine Functions -- Asin(Bx-C) + D on 2 functions for comparison also h(x) = sine + cosine Limits Derivatives limh4Dx   -- Really shows the derivative is the limit of the direrence quotient. Use this one!! DERlnx   -- by use of a tangent line 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

 Listed Alphabetically 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 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 cosplay   -- just right triangle cosine 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 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 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. NewCentral   -- An angle in standard position. parabolas   -- graphs of 2 parabolas: 1 in general form, 1 in standard forms,     * both generated by equations defined by parameters. parabolasWdetails   -- SAME AS parabolas but     * WITH SHOW/HIDE ACTION BUTTON     * graphs of 2 parabolas: 1 in general form, 1 in standard forms,     * both generated by equations defined by parameters. parentFX   -- function "manipulatives" -- curve shift to graph functions, many functions provided parentFX2   -- revised function "manipulatives" Pythagorean   -- using only figure to adjust angle PythagorIdentities   -- using either figure or parameter theta to adjust angle 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 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 tanplay   -- just right triangle cosine 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 unitfx   -- 6 functions with a unit circle

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