Summary: Systems of Equations- Graphing

Systems of Equations- Graphing                                November 28, 2011

OBJECTIVE: SWBAT SOLVE SYSTEMS BY GRAPHING, ELIMINATION AND SUBSTITUTION 

Today we learned about the three different types of systems of equations. The three methods are graphing, elimination and substitution. When graphing, always convert equations to y=mx+b. When you graph both lines, look for the point of intersection. This point is your solution set. A solution set is a solution to the equations that you graphed; it must satisfy both. Parallel lines have no solution; they have a solution, but they don’t share the same solution. You graphing your lines you should start labeling them. An example is shown below.

EXAMPLE:

Summary: Systems of Equations- Substitution

Systems of Equations- Substitution                        November 28, 2011

OBJECTIVE: SWBAT SOLVE SYSTEMS BY GRAPHING, ELIMINATION AND SUBSTITUTION

Today we learned about the three different types of systems of equations. The three methods are graphing, elimination and substitution. Today we focused on substitution and graphing. For substitution, it might be easier to use different colors and draw lines to separate the parts you have already done. You don’t have to do this; this is optional, but this usually helps others. There are four steps to remember when doing substitution. 1) Pick a variable-either x or y; 2) Solve the variable; 3) Substitute into an equation; 4) Combine Like Terms- CLT. An example is shown below on how to do this.  

EXAMPLE:

Summary: Scatter Plots and Trend Lines

Scatter Plots and Trend Lines                                         November 1, 2011

OBJECTIVE: SWBAT DISCUSS TRENDS AND TREND LINES; IDENTIFY SCATTER PLOTS

Today we learned about scatter plots, trends and trend lines. Scatter plots and trend lines are like correlations. Correlations are how things are related to each other. Scatter plot is a graph of scattered points and trend line is drawing a line in the middle of all the scattered points. Basically, you want to include as most of the dots as possible. To know if the trend line is positive, the change in y and the change in x is either both positive or both negative. The trend line is negative if the change in y is positive and the change in x is negative. An example is shown below.

EXAMPLE: