Shifting and Scaling of Data in statistics is not a hard concept. However, I think it's a concept where kids can easily grasp the procedural side of the idea but really have no visual/conceptual linkage concerning what is actually happening to the data distribution. This year, I set out to make a quick, interactive Smart Notebook file that could help students see how the distribution is affected by different shifting and/or scaling attempts. The file is not complex, but it was truly effective at helping kids understand. Keep in mind that the blocks are interactive and moveable. In class, I actually move each one and then we quickly analyze the median and range to understand relationships between shifting/scaling and measures of center(location) and spread.
If you'd like like to download and use this Smart Notebook file, please CLICK HERE for the Google Drive link.