PROJECT INTERACTIVATE

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.
Simple Plot	Students can plot ordered pairs of numbers, either as a scatter plot or with the dots connected.
Graph Sketcher	Students can create graphs of functions by entering formulas -- similar to a graphing calculator.
Graphit	Students can graph functions and sets of ordered pairs on the same coordinate plane -- similar to a graphing calculator.
Function Machine	Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs.
Histogram	Students can view histograms for either built-in or user-specified data, and experiment with how the size of the class intervals influences the perceptions. Parameters: Data sets, class sizes.
PieChart	Students view piecharts. Parameters: Number of sectors, size of sector as a percent.

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.

Graphs and Functions Demonstrates the connections between formulas and graphs.

Reading Graphs Demonstrates the connections between formulas, graphs and stories

Impossible Graphs Provides information on the distinguishing features of both possible and impossible graphs of functions, as well as the causes of graphical impossibility.

Probability and Sports Considers probability concepts from the practical questions that arise in professional sports.

Histograms and Bar Graphs Introduces the fine points of using bar graphs and histograms.

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.
Graphs and Functions	Demonstrates the connections between formulas and graphs.
Reading Graphs	Demonstrates the connections between formulas, graphs and stories
Impossible Graphs	Provides information on the distinguishing features of both possible and impossible graphs of functions, as well as the causes of graphical impossibility.
Probability and Sports	Considers probability concepts from the practical questions that arise in professional sports.
Histograms and Bar Graphs	Introduces the fine points of using bar graphs and histograms.