NY Next Generation Math AII-F.BF.1.a
The Standard
Determine a function from context. Determine an explicit expression, a recursive process, or steps for calculation from a context.
New York State Next Generation Mathematics Learning Standards · Build a function that models a relationship between two quantities.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students determine an Algebra II function from context as an explicit expression, recursive process, or calculation steps. Linear, quadratic, exponential, and sequence contexts are included, with sequences written recursively and explicitly in subscript notation.
What Mastery Looks Like
- The student chooses a form that fits the context and defines every quantity and initial value. Explicit and recursive forms generate matching values where both apply.
Common Misconceptions
- Students may write a recurrence without an initial term or an explicit rule with the wrong index. They may choose a linear rule for multiplicative change or ignore a constant component.
How to Assess It
- Give an account starting at $500 and growing 3 percent yearly. Ask for explicit and recursive definitions in subscript notation and the meaning of each parameter.
Lesson moves
Ways to Teach It
Use context and change cards to build explicit expressions, recursive rules, and step-by-step procedures.
Ask students when a recursive form communicates a context more naturally than an explicit form.
Play representation match with linear, quadratic, exponential, explicit-sequence, and recursive-sequence rules.
Model a cooling object by combining ambient temperature with exponential decay and interpret both components.
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Printable AII-F.BF.1.a Worksheet
A ready-to-print activity worksheet aligned to AII-F.BF.1.a, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
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Related Standards
- AII-F.LE.5
Interpret the parameters in a linear or exponential function in terms of a context.
- AI-F.IF.5
Determine the domain of a function from its graph and, where applicable, identify the appropriate domain for a function in context.
- AI-F.IF.2
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
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