What is a function? Describe what it means for a situation to have a functional relationship.
What is the relationship between the input and output of a function?
In what ways can different types of functions be used and altered to model various situations that occur in life?
What units, scales and labels must be applied to accurately represent a linear function in the context of a problem situation?
Can students represent a function using real world contexts, algebraic equations, tables, and with words?
What are the advantages of representing the relationship between quantities symbolically? Numerically? Graphically?
Are students able to compare the properties of multiple functions, given a linear function, and determine which function has the greater rate of change?
Can students construct a function to model a linear relationship between two quantities, and determine the rate of change and initial values of the functions?
How can proportional relationships be used to represent authentic situations in life and solve actual problems?
In what way(s) do proportional relationships relate to functions and functional relationships?
Are students able to calculate the slope of a line graphically, apply direct variation, differentiate between zero slope and undefined slope, and understand that similar right triangles can be used to establish that slope is a constant for a non-vertical line?
Do students have the knowledge to solve multi-step equations using simple cases by inspection, one solution, infinitely many solutions, or no solution?
Are students able to solve systems of linear equations numerically, graphically, or algebraically using substitution or elimination?
Do students have the ability to discuss efficient solution methods when solving a system of equations?
Can students use a system of equations to solve real-world problems and interpret the solution in the context of the problem?