Tuesday,  April 12

Seeing the infinite... small and large.

How many points are there on a line segment? Can you count them all?

Any list (possibly infinite) of points in a given segment of a euclidean line will not have every point in that segment on the list.

Note  that we can make a list of points corresponding to the rational numbers once a unit length had been established. 
1/4, ....

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
The conics.
Cones and Conic Sections

FAPP video.

- Lines - Ratios, Rates, Proportions-Measurement.
Coordinates and Functions.
Static vs. Dynamic visualizations