In Session 1, we began to develop a definition of algebraic thinking. We used mathematical thinking tools to reason about situations, and we used pictures, charts, and graphs to describe how different quantities are related. Although we were thinking algebraically, we did not use what many people think of when they think of algebra: variables. This session explores the uses of variables in describing patterns and relationships.
Note 1

Part A:	What Do You See?
Part B:	Patterns in Situations
Part C:	Different Uses of Variables
Part D:	Counting Stairs
Part E:	Summing Up
Homework

In this session, we will explore patterns in different situations. We will:

Find, describe, explain, and predict using patterns

Determine whether or not patterns in tables are uniquely described

Distinguish between closed and recursive descriptions of patterns

Understand that a table of data associated with a specific situation determines a unique pattern

Understand that there are different conceptions of algebra

Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session.

New in This Session:

variable
input
output
recursive description
closed-form description

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