Mississippi Math ATM.F.32

MathGrades 9–12Functions

The Standard

Construct linear functions, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

2025 Mississippi College- and Career-Readiness Standards for Mathematics · Expressions, Equations and Functions

Teacher's field guide

What Students Need to Do: Students write a linear function from a graph, a word problem, or two input-output pairs, including pairs in a table. They find the rate of change and the value when the input is zero.
What Mastery Looks Like: Given the pairs (2, 7) and (5, 16), a student writes f(x) = 3x + 1. They check that the rule works for both pairs and can find the same rule from a graph.
Common Misconceptions: Students may divide the change in input by the change in output when finding the rate. They may also use the first output in a table as the value at zero, even when the first input is not zero.
How to Assess It: Exit ticket: A table shows (2, 7) and (5, 16). Write a linear function that fits both pairs, and show how you found the value when the input is zero.

Lesson moves

On graph paper, plot (2, 7) and (5, 16), draw the line, and mark its rise, run, and y-intercept.
Show a graph through (2, 7) and (5, 16); ask students to explain why f(x) = 3x + 7 does not fit.
Hand out two-row input-output table cards; have students write a rule for each, then match their rules to graph cards.
Give students a taxi fare of $4 plus $2 per mile; have them write the fare function and find the cost of six miles.

Free download