Clip 41/41: Standard 3: Construct Arguments & Critiques Graphing Quadratics Part 1

Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments... They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose...Students at all grades can listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.

Carlos Cabana works with his high school English language learning students on algebraic reasoning and multiple representations around parabolas. In this clip, he orients his students to the day's work, in which they build sketches of parabolas and link them to a T-table. Cabana circulates around the room, asking groups of students: What is it that we're doing here? What are we talking about? Are we talking about the Y intercept or the X intercept? How do we get started? Students work together in a group, clarifying each other's thinking.

See this video in the context of an entire lesson.

(Parts 1-3)