NY Next Generation Math AII-S.ID.6.a
The Standard
Fit a function to real-world data; use functions fitted to data to solve problems in the context of the data.
New York State Next Generation Mathematics Learning Standards · Summarize, represent, and interpret data on two categorical and quantitative variables.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students fit quadratic, exponential, or power functions to real-world data and use the model to answer contextual questions. They use calculator regression and check whether predictions are sensible.
What Mastery Looks Like
- The student selects a suitable model, reports its equation, and interprets a prediction with units. Residual or graphical evidence supports the model choice.
Common Misconceptions
- Students may choose the regression with the largest displayed statistic without inspecting the pattern. They may extrapolate far beyond the data or ignore contextual limits.
How to Assess It
- Provide a small nonlinear data set. Ask students to fit two candidate models, choose one with evidence, and make one contextual prediction.
Lesson moves
Ways to Teach It
Enter shared data into calculators, overlay three regressions, and mark where each model misses systematically.
Ask when a high-quality fit still should not be used for distant extrapolation.
Play model selection with scatter plots, residual patterns, and quadratic, exponential, or power labels.
Fit a model to cooling, growth, or scaling data and interpret one prediction.
Keep exploring
Related Standards
- NY-8.F.5
Describe qualitatively the functional relationship between two quantities by analyzing a graph. Sketch a graph that exhibits the qualitative features of a funct...
- 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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