NY Next Generation Math AI-S.ID.1

MathGrades 9–12Summarize, represent, and interpret data on a single count or measurement variable.

The Standard

Represent data with plots on the real number line (dot plots, histograms, and box plots).

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students represent one-variable Algebra I data on a real-number line using dot plots, histograms, and box plots. They choose scales and intervals that display the distribution honestly.
What Mastery Looks Like: The student constructs each plot accurately from the same data and labels units, scales, bins, quartiles, and extremes as needed. The representation preserves every observation or correct frequency.
Common Misconceptions: Students may use unequal histogram bin widths without explanation, place box-plot values at frequencies, or omit repeated values on a dot plot. They may choose a scale that distorts the distribution.
How to Assess It: Give 12 commute times. Ask students to create a dot plot, histogram with stated bins, and box plot from the same accurately labeled scale and data.

Lesson moves

Place data-value sticky notes on a floor number line, then convert the display into three plot types.
Ask students which plot best reveals individual values, grouped frequencies, or five-number summaries.
Play representation audit by finding scale, bin, frequency, and quartile errors in sample plots.
Collect class measurement data and publish an accurately labeled plot for a school question.

Keep exploring

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