Clip 29/43: Standard 6: Attend to Precision Using Rate of Change Part 1A
Overview
Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning…. They calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context.
Antoinette Villarin begins her lesson on graphing constant rate of change by reviewing the learning goals and mathematical practices, naming Standards for Mathematical Practice 1, 3, 6, and 7. She notes that it is important that her students understand how to build a mathematical argument, and she shares sentence frames and key vocabulary that the students will use as they build their arguments.
Antoinette presents a model of two bottles attached to each other so that fluid can flow between them, and she asks her students to make sense of the problem by describing what they see happening.
Students share that as the amount of fluid in the top container/prism decreases, the amount in the bottom container/prism increases.
This clip also relates to standard 1 (make sense of problems and persevere in solving them), standard 3 (construct viable arguments & critique the reasoning of others), and standard 4 (model with mathematics), and standard 7 (look for and make use of structure).