# Goals for CMP3 Some Management Issues

**Linear Relationships** Recognize problem situations in which two variables have a linear relationship.

- Odentify and describe the patterns of change between the independent and dependent variables for linear relationships represented by tables, graphs, equations, or contextual settings
- Construct tables, graphs, and symbolic equations taht represent linear relationships
- Identify the rate of change between two variables and the
*x*- and*y-*intercepts from graphs, tables, and equations that represent linear relationships. - Translate information about linear relationships given in a contextual setting, a table, a graph, or an equation to one of the other forms
- Write equations that represent linear relationships given specific pieces of information, and describe what information the variables and numbers represent
- Make a connection between slope as a ratio of vertical distance to horizontal distance between two points on a line and the rate of change between two variables that have a linear relationship
- Recognize that
*y*=*mx*represents a proportional relationship - Solve problems and make decisions about linear relationships using information given in tables, graphs, and equations

**Equivalence** Understand that the equality sign indicates that two expressions are equivlent.

- Recognize that the equation
*y*=*mx*+*b*represents a linear relationship and means that*mx*+*b*b is an expression equivalent to*y* - Recognize that linear equations is one unknown,
*k*=*mx*+*b*or*y*=*m*(*t*) +*b/e>, where**k,t,m*and*b*are constants, area special cases of the equation*y*=*mx*+*b* *Recognize that finding the missing value of one of the variables in a linear relationship,*mx +*y*=*b*, is the same as finding a missing coordinate of a point (*x, y*) that lies on the graph of a relationship