Linear Modeling Overview
	Ideas	Given a linear situation, we will review how to find graphical, numerical, and algebraic models while focusing on rates and starting amounts. In this section we will introduce and study the form y = mx + b. We will introduce the terms "slope" and "vertical intercept".
	Objectives	When finished with this section, the student will be able to write the equation for a linear model given a situation.

In previous units we have looked at equations, graphs, and tables in various aspects. In this unit, we will dive deeply into linear modeling. In previous lessons we had used equations, graphs, and tables to solve problems. In this unit we will use them to model situations. With good models, we will be able to investigate many questions beyond what we had previously done.

Please note that the lessons in this unit will look a bit different than those from previous units. You have a foundation in using equations, graphs, and tables. Now it's time to build on your understanding. You will be doing some deeper thinking and much discovery along the way, so be prepared to think deeply!

Before you dive in, here are a few things to know:

1. We will consider relationships between two variables.
   Usually one will be "dependent" and the other will be "independent".
   (Question to think about: Could two variables be "codependent"?)
   
   
2. The term "linear" means the situation will have a straight line representation on a graph.
   (Question to think about: Why do they have to be straight lines?)
   
   
3. All linear graphs have two things in common: a starting point and a slope.
   The term "slope" holds a technical meaning we will investigate.
   (Question to think about: How should steepness of a line be measured?)
   
   
4. All linear equations can be written in the form y = mx + b where each of those variables holds a special meaning.
   (Question to think about: Could that equation be written differently?)
   
   

Grab your thinking caps and your work boots! The following assignment expects you to dig deep. Many of the problems and ideas should be very familiar to you. Remember to do your best.

When you have questions, please post in the discussion forums so we can have some good conversations with everyone in the class.

Click here to download Assignment 7.01. There are 6 parts A-F. Be sure to complete them all.
Since this is such a large assignment, it will be worth double points (8 total instead of the normal 4).