Chapter 1: Lessons and Activities

Activity Name Activity Description
Sequencer Students learn about number patterns in sequences and recursions by specifying a starting number, multiplier and add-on.
Coloring Multiples in Pascal's Triangle Students color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled, thereby practicing multiplication tables investigating number patterns, and investigating fractal patterns.
Coloring Remainders in Pascal's Triangle Students color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled, thereby practicing multiplication tables, investigating number patterns, and investigating fractal patterns.
The Tortoise and Hare Race Students step through the tortoise and hare race, based on Zeno's paradox, to learn about the multiplication of fractions and about convergence of an infinite sequence of numbers.
Fractured Pictures Students generate complicated geometric fractals by specifying starting polygon and scale factor.
Function Machine Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs.

Lesson Name Lesson Description
An Introduction to Sequences Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
Patterns In Fractals Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
Patterns In Pascal's Triangle Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
Pascal's Triangle Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results
Introduction to Functions designed to introduce the basic ideas needed for learning functions
Introduction to Linear Functions designed to introduce the basic ideas needed for learning about linear functions