CCSS.Math.Content.7.SP.A

CCSS.Math.Content.7.SP.A is a cluster heading. These are the individual standards under it.

• CCSS.Math.Content.7.SP.A.1

  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...

• CCSS.Math.Content.7.SP.A.2

  Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples)...

01

What Students Need to Do

Students select a random, representative sample from a larger group and use the results to estimate a population value. They compare samples and explain why estimates vary.

02

What Mastery Looks Like

Students can describe an unbiased sampling method and use sample data to estimate a population percentage or count. They can explain why results from two random samples may differ.

03

Common Misconceptions

Students may survey the easiest people to reach or use volunteers and call the sample random. They may assume a sample result exactly matches the population or think a large sample removes all variation.

04

How to Assess It

Exit ticket: A school has 800 students. Describe how to randomly select 40 students, then explain what a 60% yes result suggests about all 800 students.

1. 01

   Fill a bag with 100 colored counters; teams draw 20 without looking, estimate each color’s population count, replace them, and repeat.

2. 02

   Ask whether surveying the first 30 students entering lunch represents the whole school, then have students write and defend a claim.

3. 03

   Play Sample Showdown: teams use random-number cards to sample a class data set and score points for estimates nearest the population value.

4. 04

   Use 30 randomly selected cafeteria orders to estimate the percentage of all lunch orders that include fruit.

• CCSS.Math.Content.HSS-IC.B.4

  Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.

• CCSS.Math.Content.HSS-IC.A.1

  Understand statistics as a process for making inferences about population parameters based on a random sample from that population.