e. Parameter Spaces

Parametric Spaces offer a challenging way to explore multiple representations of a given mathematical object. Topics include         linear functions in the Cartesian & parameter planes         quadratic functions in the Cartesian and parameter planes         parametric representations of triangles & quadrilaterals         parametric representations of planar motion         powers of complex numbers         roots of unity         parametric plane representations for common denominator & common factors         parametric plane representations for rational numbers Parameter spaces for functions  Linear functions - parameter plane   Quadratic functions - parameter Plane       Parameter spaces for shapes   Isosceles triangle space   Rectangles   Rectangle space: width-height plane   Rectangle Space: {Perimeter, Area} plane   Conic Sections in Parameter Space   More about ladders   angle parameter space for triangles   Isosceles Triangles revisited   Polya's Triangle Space   Three Points on a Circle   Parallelogram space   Kite space Circle & Square   side parameter space for triangles   Circles & ellipses in the {radius, eccentricity} plane Parameter spaces for motions   Projectile in Parameter Space   Football & Handball in Parameter Space   Jack & Jill   Pebble stuck in a wheel - revisited       Two motions - One Path in Space   There are planes & there are planes   two clocks in k/n time  3D Lissajous figures   Parametric Polygon Explorer   Parametric   Polygon Synthesizer   Parameter spaces for numbers   Common Denominator Finder   Common Factor Finder   Rational numbers & Equivalent fractions   The two faces of Z   Powers of Complex Numbers  The Roots of Unity   The ABC's of QR What do you now know more about? What surprised you? What would you like to know more about? Judah L. Schwartz mathMINDhabits by Judah L. Schwartz is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.