Thursday, February 14, 2008
Algebra (Class 50)
Lesson Title
Systems of Two Linear Equations- Part 2
Overview
In today’s class our warm-up changes focus from working with ratios and proportions to interpreting time and distance graphs-- review of older material is still included of course!
The lesson for the class focuses on solving a system of equations using a new method-- “combination”-- where adding or subtracting the two equations in the system allows us to eliminate a variable.
Textbook Sections
§9-4 (Txt. p.426) The Addition or Subtraction Mehtod
Vocabulary
systems of equations
eliminate variable
isolate
Key Attitudes
Math is about investigating and confirming
Key Ideas
Two equations have the same values only at their points of intersection.
Two lines can intersect at one point, no points, or all points.
A solution to a system of two linear equations is equivalent to the coordinates of the point of intersection of the two lines.
An equation with a single variable has a unique solution
In order to solve a system of equations you must eliminate variables until you end up with one equation and one variable
Since equations mean that the expressions on each side of the equal sign are equal, we can add or subtract other equations to eliminate a variable.
Key Skills
Graphing equations of lines.
Solving first degree equations of one variable.
Verify that a point is the solution to the system of equations.
Solving a system of two linear equations by combination.
Turn-In (#49)
Two systems of equations to solve
Handouts
No Handouts Posted
Assignment
Two systems of equations to solve.
Graphing practice for equations in standard form.
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.
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