Mississippi Math FA.F.12
The Standard
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Use function notation, where appropriate. (F-IF.1, F-IF.2)
2025 Mississippi College- and Career-Readiness Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify the allowed inputs and the outputs a rule produces. They check that each input has exactly one output. They use notation such as f(3) to name the output for an input.
What Mastery Looks Like
- A student can tell whether a table or arrow diagram shows a function and explain why. Given f(x) = 2x + 3, they find f(4) = 11 and identify 4 as the input.
Common Misconceptions
- Students may think two inputs cannot share the same output. They may accept one input pointing to two outputs, or read f(3) as f times 3.
How to Assess It
- Exit ticket: Is {(1,4), (2,4), (1,5)} a function? Explain your answer, then find f(3) if f(x) = 2x + 1.
Lesson moves
Ways to Teach It
Give pairs input cards 1, 2, 3 and output cards 4, 5; have them build a function, then change it so it fails.
Show (1,4), (2,4), and (1,5); ask students to write which pairs can stay together in a function and why.
Play function or not with four arrow diagrams; partners point to the input that proves each nonexample fails.
Use a $5 parking fee plus $2 per whole hour; write C(h), find C(3), and explain what the output means.
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