Tuesday, April 12
Seeing the infinite... small and large.
How many points are there on a line segment? Can you count them all?
list (possibly infinite) of points in a given segment of a euclidean line
will not have every point in that segment on the list.
that we can make a list of points corresponding to the rational numbers
once a unit length had been established.
What is a curve?
Curves and approximations of curves by line segments and polygons.
Regular Polygons and the circle.
The length of a curve.
Infinite curves: The snowflake.
Activity on snowflakes.
Space filling curves.
Projective Geometry- Calculus Beginnings
Cones and Conic Sections
- Lines - Ratios, Rates, Proportions-Measurement.
Coordinates and Functions.
Static vs. Dynamic visualizations