NY Next Generation Math NY-6.SP.8

NY-6.SP.8 is a cluster heading. These are the individual standards under it.

• NY-6.SP.8.a

  Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of simple events.

• NY-6.SP.8.b

  Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process

01

What Students Need to Do

Students develop uniform or data-based probability models for simple events. They use each model to find probabilities, compare predictions with observed frequencies, and explain discrepancies.

02

What Mastery Looks Like

The student assigns equal probabilities when outcomes are equally likely and uses observed frequencies when they are not. The student compares model and experiment with a plausible explanation.

03

Common Misconceptions

Students may assume every chance process is uniform. They may rebuild a model from too few trials or call any difference evidence that the model is wrong.

04

How to Assess It

Give results from 100 spins of an uneven spinner. Ask students to build a probability model, predict 50 future spins, and explain disagreement with observed counts.

1. 01

   Test a spinner, record outcome frequencies, and build a probability model from the combined class data.

2. 02

   Ask students when equal outcome probabilities are justified and when observed data are needed.

3. 03

   Play Model Versus Data by matching simple-event models with experimental frequency tables.

4. 04

   Build a quality-control model from observed product outcomes and compare it with a stated uniform assumption.

• NY-6.SP.7

  Approximate the probability of a simple event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predi...