Clip 13/13: Standard 2: Reason Abstractly & Quantitatively Using Algebra Part 8

Mathematically proficient students make sense of quantities and their relationships in problem situations...Quantitative reasoning entails habits of creating a coherent representation of the problem at hand; considering the units involved; attending to the meaning of quantities, not just how to compute them; and knowing and flexibly using different properties of operations and objects.

Carlos Cabana works with his high school algebra for English language learning students on algebraic reasoning and multiple representations around parabolas. In these clips, Cabana analyzes groups' work in terms of logical flow and carefulness of organization, trying to make a guess about what they really understand. Students explain their thinking to each other as they look to find the vertex of the parabola. Cabana challenges them to move between their representations.

See this video in the context of an entire lesson.

(Parts 8 and 10)