Clip 20/43: Standard 6: Attend to Precision Using Numeric Patterning Part Intro C
Overview
Mathematically proficient students try to communicate precisely to others... They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately.
Fran Dickinson leads a number talk on an input/output table and graph, asking “What’s my rule?” In this clip, he wraps up the number talk, and the learners mention many different ways of representing the rule: x3 – 3, times 3 minus 3, 3x – 3. Dickinson notes that “So we’re doing a lot of talking about this rule. What is the rule? Can we write a rule here?” As the students respond, Dickinson notes some disagreement among the student responses and asks his students to explain their thinking to each other. This clip is also indicative of standard 3 (construct viable arguments & critique the reasoning of others), standard 7 (look for & make use of structure), and standard 8 (look for & express regularity in repeated reasoning).