CCSS.Math.Content.HSS-IC.A

CCSS.Math.Content.HSS-IC.A is a cluster heading. These are the individual standards under it.

• 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.

• CCSS.Math.Content.HSS-IC.A.2

  Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.

01

What Students Need to Do

Students explain how random sampling or random assignment creates chance variation in results. They use repeated trials or simulations to judge whether an observed outcome is plausible under a proposed model.

02

What Mastery Looks Like

Given a study, students identify the random process and predict how results could vary across repetitions. They compare an observed statistic with a simulated distribution and support a conclusion with evidence.

03

Common Misconceptions

Students may think random means careless or that all outcomes must be equally likely. They may treat one unusual result as proof that a model is wrong. They may expect a simulation to reproduce the original data exactly.

04

How to Assess It

Exit ticket: A coin gives 16 heads in 20 flips, and only 2 of 100 fair-coin simulations gave 16 or more heads. Is a fair-coin model reasonable? Explain using the simulation.

1. 01

   In pairs, toss a coin 20 times, pool the class proportions of heads, and graph how results vary.

2. 02

   Ask students to write whether an unusual result proves a model is wrong, then defend their answer with an example.

3. 03

   Play Model Match: teams pair observed outcomes with simulation dot plots and earn points for evidence-based justifications.

4. 04

   Use election polling data to discuss why two random samples from the same population can report different percentages.

• CCSS.Math.Content.HSS-CP.A

  Understand independence and conditional probability and use them to interpret data

• CCSS.Math.Content.6.SP.A

  Develop understanding of statistical variability.

• CCSS.Math.Content.7.SP.C

  Investigate chance processes and develop, use, and evaluate probability models.