Euclid's Muse

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Search Results for “roots”

By Phil Todd
Nicomedes Construction for Cube Root
Nicomedes Conchoid is a curve generated by a device involving two sliding joints. It can be used in this construction for two mean proportionals (which is Greek for finding a cube root). See if you can use it to extract cube roots of rational numbers.

Tags: Nicomedes, conchoid, construction

By Larry Ottman
Quadratic Zeros III
This app generates a pair of zeros randomly, then requires adjusting a quadratic function to match the graph to the zeros.

Tags: Quadratic, Function, zeros, roots, x-intercepts, Common-Core, Algebra

By Larry Ottman
Quadratic Zeros II
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).

Tags: Quadratic, Function, zeros, roots, x-intercepts, Common-Core, Algebra

By Larry Ottman
Quadratic Zeros
This app allows you to adjust the zeros of a quadratic function to match the factorization, then verify them with the general function.

Tags: Quadratic, Function, zeros, roots, x-intercepts, Common-Core, Algebra

By Duncan
Newton Raphson 3 iterations
Look at the first three iterations of the Newton Raphson method starting from a point you determine on a function you define. You'll see that when it's good it's very very good and when it's bad its awful.

Tags: root, function, Newton

By Phil Todd
Two Pendulums
If a pendulum's motion is small, its period is the square root of its length divided by g.  What happens if the pendulum's motion is not small? Experiment with these two pendulums.  Pull one to about a 20 degree angle to vertical and the other to about a 70 degree angle.  Do they have the same period?

Tags: tautochrone, pendulum, period

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

Tags: Function, transformations, dilations, Common-Core, Algebra

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

Tags: Function, transformations, dilations, Common-Core, Algebra

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

Tags: Function, transformations, translations, Common-Core, Algebra

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

Tags: Function, transformations, translations, Common-Core, Algebra


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