| Application |
| 1. Create, solve, or interpret linear equations in one variable. |
The
student will create, solve, or interpret a linear expression or equation in
one variable that represents a context. The expression or equation will have
rational coefficients, and multiple steps may be required to simplify the
expression, simplify the equation, or solve for the variable in the equation. |
| 2. Create, solve, or interpret linear inequalities in one
variable. |
The
student will create, solve, or interpret a linear inequality in one variable
that represents a context. The inequality will have rational coefficients, and
multiple steps may be required to simplify or solve for the variable. |
| 3. Build a linear function that models a linear relationship
between two quantities. |
The
student will describe a linear relationship that models a context using
either an equation in two variables or function notation. The equation or
function will have rational coefficients, and multiple steps may be required
to build and simplify the equation or function. |
| 4. Create, solve, or interpret systems of linear inequalities in
two variables. |
The
student will analyze one or more constraints that exist between two variables
by creating, solving, or interpreting an inequality in two variables or a
system of inequalities in two variables to represent a context. Multiple
steps may be required to create the inequality or system of inequalities or
to determine whether a given point is in the solution set. |
| 5. Create, solve, and interpret systems of two linear equations
in two variables. |
The
student will analyze one or more constraints that exist between two variables
by creating, solving, or analyzing a system of linear equations to represent
a context. The equations will have rational coefficients, and multiple steps
may be required to simplify or solve the system. |
| Fluency |
| 6. Solve linear equations in one variable. |
The
student will algebraically solve an equation (or inequality) in one variable.
The equation (or inequality) will have rational coefficients and may require
multiple steps to solve for the variable; the equation may yield no solution,
one solution, or infinitely many solutions. The student may also be asked to
determine the value of a constant or coefficient for an equation with no
solution or infinitely many solutions. |
| 7. Solve systems of two linear equations in two variables. |
The
student will algebraically solve a system of two linear equations in two
variables. The equations will have rational coefficients, and the system may
yield no solution, one solution, or infinitely many solutions. The student
may also be asked to determine the value of a constant or coefficient of an
equation in which the system has no solution, one solution, or infinitely
many solutions. |
| Conceptual Understanding |
| 8. Interpret the variables and constants in expressions for
linear functions within the context presented. |
The
student will make connections between a context and the linear equation that
models the context and will identify or describe the real-life meaning of a
constant term, a variable, or a feature of the given equation. |
| 9. Understand connections between algebraic and graphical
representations. |
The
student will select a graph described by a given linear equation, select a
linear equation that describes a given graph, determine the equation of a
line given a verbal description of its graph, determine key features of the
graph of a linear function from its equation, or determine how a graph may be
impacted by a change in its equation. |
