Euclid's Muse

This app generates a pair of zeros randomly, then requires adjusting a quadratic function to match the graph to the zeros.

This app allows you to practice writing the equation of an ellipse (horizontal and vertical) given a graph. (G-GPE 3)

This app allows you to practice writing the equation of a hyperbola (horizontal and vertical) given a graph. (G-GPE 3)

This app allows you to practice writing the equation of an ellipse (horizontal and vertical) given a graph. (G-GPE 3)

This app allows you to practice writing the equation of a circle given a graph. (G-GPE 1)

This app explores a physical motion problem and its connection to trigonometric functions. (F-TF 5)

This app allows students to experiment with vertical dilations of the typical root functions experienced in high school Algebra.  (F-BF 3)

This app helps illustrate how the residual plot relates to the proper choice of a function to fit a particular data set. Students should learn to look for a random, scattered pattern to the location of the residuals, rather than a predictable curve shape. (S-ID 6a)

This app explores a physical motion problem and its connection to trigonometric functions. (F-TF 5)

This app allows the user to explore the relationship between the unit circle and the tangent function. (F-TF 2, 3)

This app allows the user to explore the relationship between the unit circle and the cosine function. (F-TF 2, 3)

This app allows the user to explore the relationship between the unit circle and the sine function. (F-TF 2, 3)

This app allows you to experiment with an alternate construction of a hyperbola.  The tracing of the perpendicular bisector of the segment between a point on a circle and a point outside the circle create a hyperbolic locus. (G-GPE 3)

This app allows you to experiment with an alternate construction of an ellipse.  The tracing of the perpendicular bisector of the segment between a point on a circle and a point in the circle create an elliptical locus. (G-GPE 3)

This app allows you to experiment with the definition of a hyperbola as the set of points in which the difference of the distances from two fixed points is a constant. (G-GPE 3)

This app allows you to experiment with the definition of an ellipse as the set of points in which the sum of the distances from two fixed points is a constant. (G-GPE 3)

This app allows students to experiment with horizontal dilations of the typical root functions experienced in high school Algebra.  (F-BF 3)

This app allows students to experiment with horizontal translations of the typical root functions experienced in high school Algebra.  (F-BF 3)

This app allows students to experiment with vertical translations of the typical root functions experienced in high school Algebra. (F-BF 3)

This app allows you to adjust the zeros of a quadratic function to match the factorization, then verify them with the general function.  The examples include more challenging factorizations (a not equal to 1).