Aligned Standard

M.EE.8.F.4: Determine the values or rule of a function using a graph or a table.

Grade Level Standard

This is aligned with the following California State Standards:

  • 8.F.4 - 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.

Linkage Level Descriptions

Initial Precursor

Form a pair of objects by arranging two objects in a specific order (e.g., form a pair by first placing a pencil and then placing a ruler).

Distal Precursor

Generate ordered pairs by recognizing the pattern rules for each coordinate and applying these rules to the x- and y-values [e.g., given (1, 3), (2, 5), (3, 7)..., the next ordered pair would be (4, 9)]. Communicate the next term in a growing or shrinking pattern, consisting of numerals or letters, by recognizing the core unit or the pattern rule and applying it to the pattern (e.g., the pattern rule in the pattern: 3, 6, 9, 12 is add 3, so the next term in the pattern is 12 + 3 equals 15).

Proximal Precursor

Recognize covariation as the pattern in which two variables or quantities change together. Recognize the direction in which two variables change together (e.g., describe that as x increases, y decreases).

Target

Communicate understanding of a function rule from the list of ordered pairs or a graph by determining how x- and y-values change and relate to each other (e.g., the slope is 1/1 and each y-value is equal to x-value + 2, or y = x + 2).

Successor

Communicate understanding of a function as a set of ordered pairs or a line on a graph where there exists a relationship between x- and y-coordinates, and there are no two ordered pairs with the same input (x-value) and different outputs (y-value).