Florida B.E.S.T. MA.912.F.1.1
The Standard
Given an equation or graph that defines a function, determine the function type. Given an input-output table, determine a function type that could represent it.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students classify a function from its equation or graph by noticing its form and key features. For a table, they inspect changes, second differences, ratios, and input spacing to name a family that could fit.
What Mastery Looks Like
- A student correctly distinguishes the function families taught in the course, including transformed forms. They justify each choice with evidence and recognize that a short table may fit more than one function.
Common Misconceptions
- Students often compare output changes without checking whether input intervals are equal, or confuse constant differences with constant ratios. They may overlook transformations or assume a finite table determines one unique rule.
How to Assess It
- Exit ticket: classify y = -2(x - 3)^2 + 5 and the table x: 0, 1, 2, 3; y: 3, 6, 12, 24. For each, name one feature that supports your answer.
Lesson moves
Ways to Teach It
Give groups cards showing equations, graphs, and tables; students match representations and label each function family with evidence.
Ask: How can a table look linear but fail to be linear? Students write about unequal input intervals.
Play Function Family Relay: teams classify one card, circle the deciding feature, then pass the stack to the next teammate.
Compare a taxi fare, bouncing ball height, and bacteria count; students choose a likely function family and explain why.
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Printable MA.912.F.1.1 Worksheet
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Related Standards
- MA.912.AR.8.2
Given a table, equation or written description of a rational function, graph that function and determine its key features.
- MA.912.AR.5.6
Given a table, equation or written description of an exponential function, graph that function and determine its key features.
- MA.8.F.1.2
Given a function defined by a graph or an equation, determine whether the function is a linear function. Given an input-output table, determine whether it could...
- MA.912.AR.2.4
Given a table, equation or written description of a linear function, graph that function, and determine and interpret its key features.
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