In the previous session, you developed proportional reasoning skills by making absolute and relative comparisons, comparing ratios, making scale drawings, and looking at graphs of proportional relationships. In this session, we'll explore linear relationships by looking at lines and slopes. Note 1

We'll also use spreadsheets to aid us in our exploration. If you feel comfortable using a spreadsheet program, feel free to start the lesson now. If you've never used a spreadsheet before, or if you have but would like a review of the basics, click here for a short tutorial.

In this session, we'll use spreadsheets to explore dynamic dependence and linear relationships. We will:

Recognize linear relationships as they are expressed in tables, equations, and graphs

Understand that linearity is expressed in constant differences

Use spreadsheets to work with tables, equations, and graphs

Explore the role of slope and dependent and independent variables in graphs of linear relationships

Develop an understanding of rates and how they are related to slopes and equations

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.

Previously Introduced:

New in This Session:

closed-form description
recursive description
origin

independent variable
dependent variable
slope
rate
linear relationship

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