Common Core Math · Grade 7

7.SP.A.1 Understand random sampling and representative samples

Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population.

Why water teaches this standard well

Students evaluate whether testing water from just one household tap can fairly represent contaminant levels across an entire distribution system, or whether the sampling plan needs to be broader. This is the reasoning behind every real water-quality compliance sampling program.

Materials tagged with this code are written to the full standard , and each carries a written note explaining the alignment. See how we review materials.

12 materials aligned to 7.SP.A.1

Lesson plans

Grade 7 Lesson plan

Ballantry School Taps: A Lead Sampling and Retrofit Plan

A grade 7 lesson where students build a proportional sampling plan for a fictional school's drinking taps, infer how many exceed the action level, and size a retrofit.

Engineering & Design 55 min Answer key

Worksheets

Grade 7 Worksheet

Is One Tap Enough? Sampling Rowan Springs' Water Supply

A grade 7 worksheet on representative sampling and federal testing rules, using a fictional city's lead and turbidity monitoring program and real EPA thresholds.

Social Studies & Civics 40 min Answer key

Math problem sets

Classroom activities

Grade 7 Classroom activity

Sampling the System: A Tanner's Bend Water-Testing Game

A grade 7 activity where student teams draw tap samples across a fictional town to learn why one sample can't judge a whole system's water quality.

Health & Consumer Science 40 min Answer key

Projects

Grade 7 Project

Marchbank Township's Private Well Survey Project

A four-session grade 7 project where students judge a sampling plan, estimate from a fictional township's 30 well tests, and report to its board.

Math 4 sessions, ~200 min total Answer key

Quizzes & test questions

Grade 7 Quiz & test questions

Cattail Bend Water Testing: A Grade 7 Sampling Quiz

A grade 7 quiz mixing multiple-choice, short-answer, and computation items on random sampling, inference, and probability for a fictional lake's water tests.

Math 25 min Answer key

Graphic organizers

Grade 7 Graphic organizer

From Tap to State Report: Tulloch Creek's Sample Chain

A grade 7 careers organizer tracing a drinking water sample through six steps and the job behind each at a fictional utility, with an exemplar and a sampling question.

Careers & CTE 30 min Answer key