4.3+Exploring+Graphs+0910

FH 9-13-09** Big Idea: ** Many real world situations can be modeled and predicted using mathematics.
 * Essential Question: ** How can I explore patterns in the world?

Meta Cognative- think about thinking
 * Notes from Class:**

=**4.3 Exploring Graphs**=


 * A)** **Use your graphing calculator to graph each equation below. Adjust the window settings until you think you have a good view of the graph. Copy the graph onto your paper.**


 * 1)**


 * 2)**
 * 3)**


 * 4)**
 * B)** **Choose two of the graphs from part a, and make up stories that could be modeled by them. For each graph you choose, be sure to tell which variable in your story is on the horizontal axis and which variable is on the vertical axis.**

You could have chosen any two graphs, but I chose graphs 3 and 4.

For graph 3 my story was that a cyclist had just finished a race. His plan at the beginning was to gradually increase his speed, as time passed. Looking back at his results he saw that he matched his plan perfectly. The horizontal axis here would be, Time and the vertical axis would be Speed.

For graph 4 my story was that a family needed to get away from their normal house and go to their summer house as soon as summer starts. They realized to do so, it required a lot of driving. So, they decided to increase their distances traveled, as time passed. In this case the horizontal axis would be Time, and the vertical axis would be Distance Traveled.


 * Problem 4.3 Follow Up:**

I don't think every real-life situation can be modeled by a graph because for a graph there is always two variables and in real life there might be more factors.
 * 1) a. Do you think every real-life situation can be modeled by a graph?**

I think every graph can be represented by an equation because if the graph can turned into a table you can always use the rise over run method to turn it into an equation.
 * b. Do you think every graph can be represented by an equation?**


 * 2) Look back at the graph models you have made in this unit. For each graph you made in part A of problem 4.3, find a graph model from your earlier work with a similar shape. Make a sketch of the graph model you find, and give its equation if you know about it.**

For all my graphs these are the answers that I found:

Graph 1 is a little bit similar to the graph in problem 2.1. I don't know the equation for this.

Graph 2 is similar to the graph in problem 1.4 follow up. I don't know the equation for this.

Graph 3 is similar to the graph in problem 2.2. I don't know the equation for this.

Graph 4 is a little bit similar to the graph in 3.1. I don't know the equation for this.