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

Olivia VF Chaudhury 8/29/10 =BIG IDEA : Observation and description of changes in the world around us are the first steps in finding and learning about patterns. =

ESSENTIAL QUESTION : How can I visually explain situations where one thing changes based on another?
**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? ** Ans. In a table, as the value of //x// increases, the value of //y// also increases. The same is true in a graph, represented by a series of points traveling from the lower left corner to the upper right corner. **2. **** If variable // y //decreases as variable // x // increases, how would this be indicated in a table? A graph? ** ** Ans. In a table, if //x// increases, then the value of //y// decreases. The same is trues in a graph, however, unlike Question 1, the points travel from the upper left corner to the lower right. ** **3. **** In a coordinate graph of two related variables, when do points lie in a straight line? ** Ans. In a coordinate graph of two related variables, the points lie in a straight line when either of the variables has no power other than 1. Ans. In a coordinate graph of two related variables, it is appropriate to connect the points when there is a value between the points.
 * 4. **** In a coordinate graph of two related variables, when is it appropriate to connect the points? **