Evidence of Understanding

**evaluate quantities in a system of equations or inequalities with a situation, table of values, or graph**- describe how quantities from a situation, table or graph map to parts of the equations or inequalities in the
**system** - analyze how variables of each function rule in the system are related
- Example: Given a situation with nickels and dimes where n + d = 50 and .05n + .10d = 3.50. The first equation shows the number of dimes and nickels is 50 coins total. In the second equation, the total monetary value of the nickels and dimes is $3.50. For the system the variables in both equations represent how many of each coin there is.

- describe how quantities from a situation, table or graph map to parts of the equations or inequalities in the

**solve a system of equations or inequalities using a graph or table of values**- determine whether a given domain value corresponds to a range value that solves both equations or inequalities in the system
- create and compare graphs and tables of values for each equation or inequality in the system
- describe how the graph visually represents values that make each equation true
- identify and justify the common set of solutions from the tables or graph
- use a graphing calculator to determine or verify solutions from a table or graph
- approximate and explain the
**intersection point(s)**for linear-linear, linear-quadratic, linear-polynomial (degree > 2) linear-absolute value, and linear-exponential systems

- compare the
**solution set**for a system of equations and system of inequalities- distinguish when a system has one, none, many, or infinite
**solutions**and use constraints from the given situation to justify reasoning - explain the meaning of each shaded portion of a system of inequalities

- distinguish when a system has one, none, many, or infinite
- interpret domain and range pairs belonging to a system in the context of a situation

Develop conceptual understanding:

system, system of equations, system of inequalities

Supporting terms to communicate:

function, variable, domain, range, independent, dependent, input, output, coefficient, constant, initial value, rate of change