Linear Relations and Equations
Students will know…
The difference between proportional and nonproportional relationships.
The equivalence of rate of change, constant of proportionality, unit rate, scale factor, and slope.
Changes in slope and yintercept affect the form of the graph.
Equations can have no solutions, one solution, a limited number of solutions, or an infinite number of solutions.
The difference between proportional and nonproportional relationships.
Students will be able to…
Represent linear situations with tables, graphs, and equations.
Use data from a table or a graph to determine the rate of change or slope and yintercept in mathematical and realworld situations.
Graph linear relationships interpreting the unit rate as the slope of the line that models the relationship.
Model linear relationships in graphs, tables, and equations.
Comparing unit rates using tables, graphs, and equations.
Change a graph by changing slope and/or yintercept.
Create a graphs, equations, tables, and situations given any one as a starting point.
Determine if a point is a solution to an equation using a graph, table, or equation.
Distinguish between proportional and nonproportional situations using tables, graph, and equations.
Determine if a point is a solution to an equation using a graph, table, or equation using different methods.
Model equations using concrete, pictoral, and symbolic methods.
Write complex equations given realworld situations or tables.
