Lessons for S.ID.B.6A
Choosing a function family for dataUsing differences, ratios and the shape of a scatter plot to decide which family fits the data.Lesson
Building an exponential model from two pointsUsing two known values to work out both the starting amount and the factor.Lesson
Fitting linear and exponential models with technologyUsing a calculator or spreadsheet to fit a least-squares line or an exponential curve to data and reading what its numbers say.Lesson
Modeling with functionsChoosing a function family and fitting its numbers so that one rule describes real data.Lesson
Where a model holds: domain, interpolation and extrapolationReading a value inside the range of the data is far safer than predicting one outside it.Lesson
Judging and comparing modelsComparing predicted outputs with the real ones to see where the model starts to drift.Lesson
Modeling with linear relationshipsChoose the variables, fit the line, read a prediction off it, and say where the model stops making sense.Lesson
Log-log transforms and power modelsPlotting log against log to straighten a power relationship.Lesson
Piecewise functions in contextRules that change at a threshold, such as tax bands or shipping charges by weight.Lesson
Modeling with polynomial functionsFitting a polynomial to data that rises and falls more than once, such as the volume of a folded box.Lesson
Fitting a quadratic to dataThree points determine a parabola.Lesson
Transforming to linearity: logs and exponential modelsRe-expressing one or both variables so a curved relationship becomes a straight one.Lesson
Printable Worksheets
Choosing a function family for data worksheet (PDF)Printable worksheet with answer keyPreview
Building an exponential model from two points worksheet (PDF)Printable worksheet with answer keyPreview
Fitting linear and exponential models with technology worksheet (PDF)Printable worksheet with answer keyPreview
Where a model holds: domain, interpolation and extrapolation worksheet (PDF)Printable worksheet with answer keyPreview
Judging and comparing models worksheet (PDF)Printable worksheet with answer keyPreview
Modeling with linear relationships worksheet (PDF)Printable worksheet with answer keyPreview
Log-log transforms and power models worksheet (PDF)Printable worksheet with answer keyPreview
Piecewise functions in context worksheet (PDF)Printable worksheet with answer keyPreview
Modeling with polynomial functions worksheet (PDF)Printable worksheet with answer keyPreview
Fitting a quadratic to data worksheet (PDF)Printable worksheet with answer keyPreview
Transforming to linearity: logs and exponential models worksheet (PDF)Printable worksheet with answer keyPreview