Unit 4: Graphing Equations & Functions
Common Core Standards:
- Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. 8.EE.5
- Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. 8.EE.6
- Understand that a function is a rule that assigns to each input exactly one output. The graphs of a function is the set of ordered pairs consisting of an input and the corresponding output. 8.F.1
- Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). 8.F.2
- Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x,y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. 8.F.4
- Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear, or non-linear). Sketch a graph that exhibits the qualitative features of a functionthat has been described verbally. 8.F.5
2008 Math Standards:
- Graph an inequality on a number line. M08-S3C3-05
