Explorations with Patterns

Activity Name	Activity Description
Sequencer	Students input parameters (starting number, multiplier, addend) to generate number patterns in arithmetic and geometric sequences.
Coloring Multiples in Pascal's Triangle	Given a number supplied by the applet, students select multiples of the number in Pascal's Triangle, creating geometric fractal patterns.
Coloring Remainders in Pascal's Triangle	Using a number supplied by the applet as a divisor, students select members of Pascal's Triangle with similar remainders, creating geometric fractal patterns.
The Tortoise and Hare Race	Students step through the 'tortoise and hare' race in a short investigation of Zeno's paradox. Discussion can introduce ideas of infinity and convergence of number series using pattern recognition.
Fractured Pictures	Students input polygon and scale parameters to generate geometric fractal patterns.
Life	Students run the classic simulation game 'life', and can investigate the behavior of a variety of cellular patterns as well as manipulate the game parameters.
Life Lite	Students run a simplified version of the classic simulation game 'life', and can investigate the behavior of a variety of cellular patterns.