- Child recognizes and uses patterns (e.g., understands 5 + 3 - 3 = 5).
- In functional thinking, builds two sets (e.g. in a t-chart) following two sepereate general rules.
- Given a situation and asked to generate data for a t-chart, children generalize a rule (you add 2 every time) for each column seperately.
Help your student become a(n) Beginning Arithmetic Patterner
Problems, activities, and discussions encourage children to generalize patterns that occur in arithmetic, formulating and justifying rules such as "When you add zero to a number, the result is the same number" or "When you add, you can add numbers any which way" (commutative and associative properties). Activities also ask children to analyze their growing patterns arithmetically. Sharing ideas and representations of all such work is critical. Representation of number sentences are represented flexibly (not only 3 + 5 = 8, but as 8 = 5 + 3, etc.).