Clip 30/41: Standard 3: Construct Arguments & Critiques Using Rate of Change Part 1B
Overview
Mathematically proficient students… 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.
Antoinette Villarin asks her students to engage in a “turn and talk” with a fellow student, with the purpose of describing how they would know how many centimeters of liquid will be in the bottom container, given the number of centimeters in the top container.
In the “turn and talk,” Antoinette’s students use the vocabulary and sentence frames she provided to make sense of the problem. Antoinette gathers the students back together and asks the pairs to share their findings with the whole group.
Antoinette describes the constraints for the problem. She then asks students to look at a graphical representation of the problem and respond to the prompt "I think this graph represents ..." on their whiteboards.
Her students then share their statements with their partners. After the students share with each other, Antoinette asks pairs to report out on their conversations.
This clip also relates to standard 1 (make sense of problems and persevere in solving them).