Mathematical+Reflections,+p+48+10-11

A.N 9/25/10


 * Big Idea:**

Observation and description of changes in the world around us are the first steps in finding and learning about patterns.

 * Essential Question:**

1. **Imagine a situation in which variable y depends on variable x. If y increases as x increases, how would this be indicated on a table? In a graph?** 1ans. On a table it will be shown as the x variable increases the y variable also increases. This will be shown on a graph in a same way but it will have points increase from the bottom-left hand corner to the top-right hand corner in a diagonal line.

2**.** **If variable y decreases as variable x increases, how would this be indicated in a table? A graph? ** 2ans. On a table as the x variable increases the y variable decreases. This will be shown on a graph in a same way but it will have points decrease from the top-left hand corner to the bottom-left hand corner.

**3.** **In a coordinate graph of two related variables, when do points lie in a straight line? ** 3ans. The points on a coordinate graph stay in a straight line when one of the variables is neither increasing or decreasing.

4**. In a coordinate graph of two related variables, when is it appropriate to connect the points? ** 4ans. It is appropriate to connect the points between two related variables when it is continuous.