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


 * Oct. 5**
 * KF**
 * 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 a graphing calculator help me to discover relationships between variables?



__**Set 1:**__ A: 1. **Which two equations have graphs that are similar?** The two equations that have similar graphs are y=3x - 4 and y=3x + 2 2. **In what ways are the two graphs similar?** The two graphs are similar, because they are straight parallel lines that don't pass through zero. 3. **In what ways are the equations for the graphs similar?** The equations for the two graphs are similar, because the first part 3x is the main part, because addition and subtraction just shift the whole line left or right.

B: 1. **Which equation in the set has a graph different from the other graphs?** The equation that has a different graph from the other equations is y=x² 2. **In what way is the graph different from the other graphs?** The graph for the equation is different, because it is a curved line. 3. **In what way is the equation different from the other equations?** The equation is different from the others, because it has a squared sign, and has no addition or subtraction

__**Set 2:**__

A: 1. **Which two equations have graphs that are similar?** The two equations that have similar graphs are y=3x and y=1x 2. **In what ways are the two graphs similar?** The two graphs are similar, because they are straight diagonal lines that pass through zero. 3. **In what ways are the equations for the graphs similar?** The equations for the two graphs are similar, because they involve multiplication.

B: 1. **Which equation in the set has a graph different from the other graphs?** The equation that has a different graph from the other equations is y=5 2. **In what way is the graph different from the other graphs?** The graph for the equation is different, because it is a straight perfectly horizontal line. 3. **In what way is the equation different from the other equations?** The equation is different from the others, because it has no operations whatsoever.

__**Set 3:**__

A: 1. **Which two equations have graphs that are similar?** The two equations that have similar graphs are //y//=2//x//+3 and //y//=2//x//+5 2. **In what ways are the two graphs similar?** The two graphs are similar, because the lines are straight and they are parallel. 3. **In what ways are the equations for the graphs similar?** The equations for the two graphs are similar, because they both involve multiplying //x// by 2.

B: 1. **Which equation in the set has a graph different from the other graphs?** The equation that has a different graph from the other equations is //y//=0.5//x// + 2//.// 2. **In what way is the graph different from the other graphs?** The graph for the equation is different, because it isn't as steep as the other lines. 3. **In what way is the equation different from the other equations?** The equation is different from the others, because instead of multiplying //x// by 2, it is multiplying by 0.5.

__**Set 4:**__

A: 1. **Which two equations have graphs that are similar?** The two equations that have similar graphs are //y=//2x and //y=// x+5 2. **In what ways are the two graphs similar?** The two graphs are similar, because they are both straight diagonal lines. 3. **In what ways are the equations for the graphs similar?** The equations for the two graphs are similar, because they don't have division or subtraction.

B: 1. **Which equation in the set has a graph different from the other graphs?** The equation that has a different graph from the other equations is //y=// 2÷//x//. 2. **In what way is the graph different from the other graphs?** The graph for the equation is different, because it has three separate lines, two of which are curved. 3. **In what way is the equation different from the other equations?** The equation is different from the others, because it involves division. 4 6.5
 * 1. Use the equation //y//=2//x// answer the following questions.**
 * a. If //x// is 2, what is //y//?**
 * b. If //x// is two-thirds, what is //y//?**
 * 1 1/3**
 * c. If //x// is 3.25, what is //y//?**
 * d. You can make a table to show pairs of numbers that fit an equation. Complete the following table for the equation //y// =2//x.//**
 * //x// || 0 || 1 || 2 || 3 || 4 || 5 || 6 ||
 * //y// || 0 || 2 || 4 || 6 || 8 || 10 || 12 ||


 * 2. Complete the following table for the equation y=2x + 3**
 * //x// || 0 || 1 || 2 || 3 || 4 || 5 || 6 ||
 * //y// || 3 || 5 || 7 || 9 || 11 || 13 || 15 ||

The intervals are the same, and therefore the slope is the same.
 * 3. How is the table for y=2x + 3 in question 2 similar to the table for y=2x in question one?**