The primary goal for the first semester of Algebra
in the 8th or 9th grade is to prepare students to solve a
system of equations. During the first semester of secondary algebra, the
foundations provide the skill for students to understand linear equations. In order to master the systems of equations a student must understand and master underlying skills such as the order
of operations and the distributive property. These necessary skills are to help
students to transform equations (rewrite them. This should be a fun activity
because it is a hands on activity facilitated through graphing points on a
coordinate plane. Students learn about the quadrants (places on a graph) and those
they only need two points to graph a line. This is an important postulate in a
later course of geometry. There can exist only one line through any two points
within a coordinate plane (Euclidean Geometry).
of Equations –Key Concepts
The concepts that need to be mastered are as
Understand the slope, derive from a
graph or algebraically through two ordered pairs (two points on a graph), use a
table of values (input/output tables for a constant rate of change), and the
rise over run.
Understand how to graph a linear
equation from the slope-intercept, standard, and point-slope forms of linear
Understand how to transform linear
equations from the slope intercept from into the standard form and the
Understand the different looks of a
positive, negative, zero, and undefined slope of a linear equation.·
Understand how to find on a graph the x
and y intercepts of a line.
Understand how to find the x and y
intercepts from an equation of a line.
(Slope intercept, standard form, and the
Memorize and know the different forms of
Understand the relationships of the
slopes of parallel and perpendicular lines.
Understand how to determine if there is one,
none, or infinite solutions in a system of linear equations.
Understand what a solution to a system
of linear equations looks like algebraically and graphically.