Florida B.E.S.T. MA.7.DP.1.3

Math7th GradeRepresent and interpret numerical and categorical data.

The Standard

Given categorical data from a random sample, use proportional relationships to make predictions about a population.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What Students Need to Do: Students turn category counts from a random sample into fractions, decimals, or percents. They use those proportions to estimate how many people in the full group fit each category.
What Mastery Looks Like: Students calculate a category’s fraction or percent in a random sample. They multiply that proportion by the population size and report a reasonable whole-number estimate. They explain that the result is a prediction, not an exact count.
Common Misconceptions: Students may multiply the sample count by the population size instead of using a fraction or percent. They may use the wrong sample size as the denominator. They may treat a prediction as exact or trust a convenience sample.
How to Assess It: Exit ticket: In a random sample of 80 students, 30 choose soccer; estimate how many of 640 students would choose soccer and show your calculation.

Lesson moves

Draw 15 counters randomly from a covered bag, calculate the red proportion, predict reds in the bag, then reveal and count.
Write which survey better predicts schoolwide club interest: 40 randomly selected students or 40 drama club members, and explain why.
Run a card-match race pairing sample results and population sizes with the correct predicted category totals.
Use a random lunch survey to predict how many meals of each type the cafeteria should prepare.

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