Evidence of Understanding

**solve a system of equations or inequalities in 2 variables using any method**- use at least two different methods to determine and confirm the solution set for the system and describe how each method conveys equivalent information
- discuss advantages and disadvantages of different methods: strategically guessing and checking, graphing, analyzing tables of values, using substitution, etc.
- identify conditions of a problem that make one solution method better than another and use it to solve the system
- recognize that different approaches for solving a system can highlight different information about the situation that it models
*Example: solving a system algebraically gives an exact solution and a graphic approach is limited to exact integer solutions, but graphs help estimate the solution to a system and it is difficult to predict a solution by looking at the equations or inequalities of a system*

- describe how each a table, graph, or algebraic approach convey equivalent information
*Example: the intersection point of two equations on the graph match the coordinates in the table where an input has the same output for both equations in the system*

**construct a system of equations or inequalities and use it to solve problems**- analyze the graph of a system and create the equations or inequalities that model it
- use features of each inequality (shading, line type, etc.) to justify the rule that models it

- express two linear functions in a system as an equation with a single variable on both sides
*Example: create y = 2x + 3 and y = 5x - 1, and understand how to create 2x +3 = 5x - 1*

- create two equations or inequalities that model a situation and justify reasoning
- distinguish when a system of equations or inequalities best models a situation

- analyze the graph of a system and create the equations or inequalities that model it

Develop conceptual understanding:

Supporting terms to communicate:

function, solution(s), solution set, simultaneous, intersection, equivalent, substitution, elimination, equation, inequality, system, variable, constant, coefficient, viable, integer, input, output, domain, range