GeoGebra Applets

• The tangent as the limit of secant lines.  
• The slope of tangents and the derivative of a function. 
  
• The graph of a function and its first and second derivatives in the same window.
• The Newton's Method page illustrates the use of tangent lines to find roots of functions.  It also gives examples where the technique fails.  A variation of this is the Newton-Raphson page which uses a different tecnique with sequences.
  
• The Taylor polynomial approximation of a function.

• The Linear Equations page connects the normal ways of defining a line, either by giving two points, or by giving a point and a slope, or by giving the slope and intercept.  Each window connects a set of information with a line and derives the other presentations of the line.
  
• The Quadratic Equations applet allows you to make connections between the graph of a quadratic function, and various ways to write the equation, focusing either on roots or the vertex of the parabola.
  
• Conic Sections - The Ellipses and Hyperbolas applet lets you specify a conic section by specifying the length from the center to a vertex on the major axis and the length to a focus.  You get either an ellipse or a hyperbola, depending on which length is bigger.  The Parabolas applet looks at Parabolas defined by a focus and a directrix.  The General Conic Sections applet lets you explore the graph of a quadratic relation in general format.
  
• Graphs of related functions -The family of curves applet lets you graph a function with three parameters and then vary those parameters with a slider.  The Translations and Compressions Applet lets you compare the graph of a function with the graph of a function transformed by translations and compressions or expansions.
• Trigonometric Functions - The Trig Review applet connects the values of the 6 basic trig functions with segments on the unit circle.  The Sin Curve Fitting applet lets you fit a sinusoidal curve to a pair of specified points.

• The side-side-side applet, lets you construct a triangle by specifying the lengths of the three sides.  If such a triangle can be constructed, it is unique.  
• The side-angle-side applet, lets you construct a triangle by specifying the lengths of two of the sides and the included angle.  If such a triangle can be constructed, it is unique.  
• The angle-side-angle applet, lets you construct a triangle by specifying the lengths of two of the sides and the included angle.  If such a triangle can be constructed, it is unique.  
• The side-side-angle applet, lets you construct a triangle by specifying the lengths of two of the sides and an non-included angle.  If such a triangle can be constructed, it may not be unique.
• The angle bisector applet looks at the theorem that the three angle bisectors of a triangle all meet in a single point.  The first frame lets the student explore the result with various triangles.  A second construction adds details that give a framework for a proof.
• The side bisector applet looks at the theorem that the three perpendicular bisectors of the sides of a triangle all meet in a single point.  The first frame lets the student explore the result with various triangles.  A second construction adds details that give a framework for a proof.
• The concurrent medians applet looks at the theorem that the three medians of a triangle all meet in a single point.  The first frame lets the student explore the result with various triangles.  A second construction gives a framework for establishing a lemma about tiling an area with congruent triangles.  The third construction uses the lemma to adds details that give a framework for a proof.
• The concurrent altitudes applet looks at the theorem that the three altitudes of a triangle all meet in a single point.  The first frame lets the student explore the result with various triangles.  A second construction adds details that give a framework for a proof.
• The Pythagorean theorem applets walks through a visual proof of the Pythagorean theorem.
  

Return to the Applets for courses below calculus page.

Return to the Calculus Applet page.