Rating  Views  Title  Posted Date  Contributor  Common Core Standards  Grade Levels  Resource Type  

M & M Variablility

9/23/2016 
Ashley Nicoloff

6.SP.B.4 6.SP.B.5 6.SP.B.5a 7.SP.A.1 7.SP.A.2 MP.1 MP.2 MP.3 MP.4 MP.6 MP.8  6 7  Activity  
Valentine MarblesFor this task, Minitab software was used to generate 100 random samples of size 16 from a population where the probability of obtaining a success in one draw is 33.6% (Bernoulli). Given that multiple samples of the same size have been generated, students should note that there can be quite a bit of variability among the estimates from random samples and that on average, the center of the distribution of such estimates is at the actual population value and most of the estimates themselves tend to cluster around the actual population value. Although formal inference is not covered in Grade 7 standards, students may develop a sense that the results of the 100 simulations tell them what sample proportions would be expected for a sample of size 16 from a population with about successes. 
9/4/2014 
Trey Cox

7.SP.A.2 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6  7  Activity  
Sampling Reeseās PiecesThis activity uses simulation to help students understand sampling variability and reason about whether a particular sample result is unusual, given a particular hypothesis. By using first candies, a web applet, then a calculator, and varying sample size, students learn that larger samples give more stable and better estimates of a population parameter and develop an appreciation for factors affecting sampling variability. 
9/4/2014 
Trey Cox

7.SP.A.2 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6  7  Activity 