NY Next Generation Math NY-6.SP.5.a

Math6th GradeSummarize quantitative data sets in relation to their context.

The Standard

Report the number of observations.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students report the number of observations in a quantitative data set. They distinguish the observation count from the sum, range, or number of distinct values.
What Mastery Looks Like: The student counts every data value once, including repeats. The reported sample size agrees with the frequencies in a table, dot plot, or histogram.
Common Misconceptions: Students may count only unique values or add the measurements. They may miss repeated observations represented by stacked dots or frequencies.
How to Assess It: Show a dot plot with repeated values. Ask students to report the number of observations and explain how the display confirms the count.

Lesson moves

Count individual data cards before stacking repeated values into a dot plot, then recount the dots.
Ask students why repeated measurements each count as separate observations.
Play Sample Size Check with lists, frequency tables, dot plots, and histograms.
Count the recorded travel times in a class survey before summarizing the results.

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