Download Algebra 1 Systems of Equations/Inequalities

Course Title: Algebra 1
Grade:
Essential Questions:
Pace:
1. The graphs of the systems of two linear equations in two variables can show the number of solutions to
the system.
2. Systems of equations in two variables can be solved using graphing, substitution, or elimination (linear
combinations).
3. The solution to a system of linear inequalities is the region of intersection of “Half-Planes”.
4. Parallel lines indicate no solutions, overlapping lines (Equivalent lines) indicate infinite solutions, and
non-parallel lines indicate one solution to a system of linear equations.
Content – Unit Focus
Standards/ Framework
Learning Targets
Systems of
Equations/Inequalities
A.CED.3 Represent constraints
by equations or inequalities, and
by
systems of equations and/or
inequalities, and interpret
solutions as
viable or non-viable options in a
modeling context. For example,
represent inequalities describing
nutritional and cost constraints on
combinations of different foods.
Write and solve a system
of linear
equations/inequalities
that represent a realworld situation.
A.REI.5 Prove that, given a
system of two equations in two
variables,
replacing one equation by the
sum of that equation and a
multiple of
the other produces a system with
the same solutions.
Use graphing method to
solve a system of linear
equations.
A.REI.6 Solve systems of linear
equations exactly and
approximately
Use substitution method
to solve a system of linear
equations.
Resources
Assessments
(e.g., with graphs), focusing on
pairs of linear equations in two
variables.
Use elimination to solve a
system of linear equations.
A.REI.11 Explain why the xcoordinates of the points where
the graphs
of the equations y = f(x) and y =
g(x) intersect are the solutions of
the equation f(x) = g(x); find the
solutions approximately, e.g.,
using
technology to graph the functions,
make tables of values, or find
successive approximations.
Include cases where f(x) and/or
g(x) are
linear, polynomial, rational,
absolute value, exponential, and
logarithmic
functions.★
A.REI.12 Graph the solutions to a
linear inequality in two variables
as a
half-plane (excluding the
boundary in the case of a strict
inequality),
and graph the solution set to a
system of linear inequalities in
two
variables as the intersection of
the corresponding half-planes.
Use graphing to solve a
system of linear
inequalities.