Student Page 1.3.4 Graphing a Growing Pattern of Dots
Consider the data table you created for Growing Pattern of Dots. The data is plotted in the following graphs. For each graph, determine:
Is the graph a correct representation of the data?
Why or why not?
What are some important characteristics of an accurate graph? List of at least 5 items.
This collection of activities – Making Introductions, Pattern Talk: Dot Pattern, Growing Pattern of Dots, and Graphing a Growing Pattern of Dots – shows how seemingly unrelated contexts and representations can have the same underlying mathematical structure. We see this a lot in mathematics. Making these connections requires Brain Crossing (recall the video you watched today). Remember that Brain Crossing helps you with recall and grows your brain!
When you work on a new problem, try to connect the work you're doing to problems you've worked on in the past. Connecting related mathematics problems helps reduce your reliance on memorized procedures. It also helps move your working (short-term) memory into long-term memory so that it can be retrieved to help you make sense of new problems and concepts.