Clip 13/29: Standard 1: Making Sense and Perseverance Using Numeric Patterning Part B
They analyze givens, constraints, relationships, and goals… Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, “Does this make sense?” They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.
Fran Dickinson leads a number talk on an input/output table and graph, asking “What’s my rule?” In this clip, he generates an output number after students offer an input number. The students discuss whether or not 0 is a possible input for the table and graph. This clip is also indicative of standard 3 (construct viable arguments and critique the reasoning of others).