Montana Math MT.CORE.ALG.FUN.4
The Standard
Use function notation, evaluate functions, and interpret statements that use function notation in context. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.
2026 Montana Mathematics Content Standards · Algebraic and Functional Reasoning
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use a rule to find a function’s output for a given input. They explain what the input and output mean in a real situation.
What Mastery Looks Like
- For a hypothetical Montana tribal college open house, S(t)=8t+16 gives the number of seats for t tables, including 16 staff seats. A student finds S(5)=56 and explains that five tables need 56 seats.
Common Misconceptions
- Some students read S(5) as S times 5. Others think the answer is 5 because it is inside the parentheses, or confuse tables with seats.
How to Assess It
- Exit ticket: At the open house, S(t)=8t+16 gives the number of seats for t tables. Find S(4) and explain what your answer counts.
Lesson moves
Ways to Teach It
Give pairs 32 counters and cards marked t=0, t=1, and t=2; have them build and record each seat count.
Ask, “What does S(2)=32 tell an open house volunteer, and what does the 2 stand for?”
Make cards for S(0), S(2), S(5), and their outputs, 16, 32, 56; have students match each pair.
Show a Montana tribal college’s posted per-credit tuition rate; have students write T(c) for tuition at c credits and explain T(3).
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Printable MT.CORE.ALG.FUN.4 Worksheet
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