5.1+Graphing+on+a+Calculator+0910

**The Big Idea:**Observation and description of changes in the world around us are the first steps in finding and learning about patterns.
 * 5.1 Graphing on a Calculator**


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

Experiment with your graphing calculator and the following equations. Graph one set of equations at a time. For each set, two of the graphs will be similar in someway. and one of the graphs will be different. Answer questions A and B for each set.


 * Set 1**: y= 3x - 4 y=x(squared) y=3x + 2


 * Set 2**: y= 5 y= 3x y= 1x


 * Set 3**: y= 2x+3 y= 2x-5 y=0.5x+2


 * Set 4**: y= 2x y= 2/x y= x+5

A. 1. Which two equations in the set have graphs that are similar?

2. In what ways are the two graphs similar?

3. In what ways are the equation for the two graphs similar?

B. 1. Which equation in the set has a graph that is different from the graphs of the other equations?

2. In what way is the graph different from the other graphs?

3. In what way is the equation different from the other equations?

**Set 1**: y= 3x-4 y= x2 y= 3x+ 2 Graph:

A1. y= 3x-4 and y=3x+ 2 are similar because they have a sum and the other equation that is y=x2 doesn't have any addition,subtraction, and division.

2. The two graphs are similar because they are straight lines, then gain the same direction and they are parrallel.

3.The equations are similar because they contain "3x"

B1.y= X2 are different from the graphs of the other equations because its curved and the other lines are parallel from each other in a straight line.

2.The graph is different from the others because the others contain a sum and the others contain a parallel graph.

3.The equation is different because the others doesn't contain X2 and that the amount of unit differs.

Graph:
 * Set 2**:y= 5 y= 3x y= 1x

A2: 1. y=3x and y=2x are similar becuase they have a sum.

2. They are similar becuase they cross each other.

3. they have a sum that was very similar because y=3x and y=1x are separated by a number.

B2 1. y=5 because it crosses the graph horizontal

2 .It doesn't cross angled and its separated from the others.

3. It doesn't have a sum (x)

Graph:
 * Set 3**:y= 2x+3 y= 2x-5 y=0.5x+2

A3: 1. y=2x+3 and y=2x-5

2. they have, are crossing together.

3. they have 2x_(+ or -)#

B3: 1. y=0.5x+2

2 .It crosses a different way

3. It doesn't have 2x_ (+or /) = #.

Graph:
 * Set 4**:y= 2x y= 2/x y= x+5

A4: 1. y=2/x and y=x+5

2. they do the same thing, curve.

3.they have a sum.

B4: 1. y=2x

2.because it crosses

3.doesn't have a sum.

Follow up:

A. x=2 y=4

B.x=2/3 y=21/3

C. x=3.25 y= 6.50

Table:

I was not able to put the pictures