5.1+Graphing+on+a+Calculator+10-11

Alan Block: 7 B    Date: October 9, 2010 =__**5.1**__=  **__ The big understanding: __** = ** Observation and description of changes in the world around us are the first steps in finding and learning about patterns. ** =

**__ Essential Questions: __** How can a graphing calculator help us to discover relationships between variables?

**__ What We Do __** So basically what we do in 5.1 is get a graphing calculator, and make graphs on it using x, and y equations. So what you have to do to get a graph is this; go to the y= part of the graphing calculator and write in the equation next to the y= sign. Using this background information, we can do the problem. So it shows different sets, these sets are equations made for you with two that are SIMILAR and one that is different. When putting in the sets you must never put more than one set in at a time. Part A 1 of this problem is asking you to find the two similar graphs. Part A 2 is asking you, in what way they are similar. Part A 3 is asking you in which way the equations of the two graphs are similar. Part B is just asking you which graph is different and in what way it is different. It also asks what way is the equation different. **__ These are answers and questions from 5.1 __** ** A) ****__ Which two equations in the set have graphs that are similar? __**  Set 1: y= 3x – 4, y= 3x + 2    Set 2: y= 3x, y= 1x    Set 3: y= 2x + 3, y= 2x – 5    Set 4: y= 2x, y= 2/6   **__ 2. In what ways are the two graphs similar? __**   The way the two graphs in the sets are the same is by the way the angle of the line, or the graph.   **__ 3. In what ways are the equations for the two graphs similar? __**   In the way the two equations are similar is either they have the same number starting them of, or that they both have x’s.   ** B) ****__ 1. Which equation in the set has a graph that is different from the graphs of the other equations? __**  Set 1: y= x2    Set 2: y= 5 Set 3: y= 0.5x + 2 Set 4: y= x + 5 **__ 2. In what way is the graph different from the other graphs __** The way that this one graph is different is that the angle in the line is facing is different. **__ 3. In what way is the equation different from the other equations? __**  The way that the equations were different is the fact that all of them did not have the x or they might have had different numbers starting them off than others. **__ 5.1 Follow up __** **__ 1. Use the equation y=2x __** **__ a) if x =2 what is y __** 4    **__ b) if x=2/3 what is y __** 1 and 1/3 **__ c) if x = 3.25 what is y __** 6.5    **__ d) you can make a table to show pairs of numbers that fit an equation. Complete the following table for the equation y= 2x __**
 * x || 0 || 1 || 2 || 3 || 4 || 5 || 6 ||
 * y || 0 || 2 || 4 || 6 || 8 || 10 || 12 ||
 * 2. Table showing pairs of numbers fitting equation Y=2X+ 3**
 * Y || 3 || 5 || 7 || 9 || 11 || 13 || 15 ||
 * X || 0 || 1 || 2 || 3 || 4 || 5 || 6 ||

The tables for problems 1D and 2 are similar because they are both basicaly the same thing, except for the fact that the table for problem 2, Y is always 3 higher than the Y in table for problem 1D for a given value of X
 * 3. How are the two tables above similar?**