2.3 More Comparing Relationships

Focus question:

How can we decide if a table, graph, or equation represents a linear relationship?  What does it mean when two linear relationships intersect?

Part 1: Do Now

1. Have your two screenshots from last class ready on your computer.  We will have one person share their "triangle graph" and one person share their "non-triangle graph".  Be prepared to share your thinking.
2. Complete the "Linear Relationships Matching Activity".  For each story you need to do the following:

• As you read the story try to decide what the "rate of change" and "starting position" are.
• Determine which table goes with the story.
• Determine which graph goes with the story.
• Write an equation in y = mx + b format using the rate of change and starting value for the story.

Part 2:  Vocabulary

This lesson introduces some even more formal math vocabulary that mathematicians use when describing linear relationships.  These words are:

• y-intercept
• coefficient
• solution

Read through your textbook with your table group from page 32-33 and complete the note table.  Glue this into your notebook.

Part 3: Comparing Costs

In this part of the lesson you are going to continue the work from last class where we are going to look at the pricing plans for three different T-shirt companies and try to decide when each company represents the better value.  Remember that when looking at a linear relationship the two most important things to identify are the STARTING VALUE and the RATE OF CHANGE.

Here is what you MUST do before next class:

• Complete 2.3 More Comparing Relationships Notes (this should have been completed in class)
• Complete 2.3 Comparing Costs (this also should have been completed in class)
• ACE (4,5,6,7)....remember that Desmos is your friend when it comes to analyzing relationships.