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Aspects of mathematical modeling
What: In activities tagged with this routine, students engage in scaled-back modeling scenarios, for which students only need to engage in a part of a full modeling cycle. For example, they may be selecting quantities of interest in a situation or choosing a model from a list.
Why: Mathematical modeling is often new territory for both students and teachers. Opportunities to develop discrete skills in the supported environment of a classroom lesson make success more likely when students engage in more open-ended modeling.
Card sort
What: A Card Sort uses cards or slips of paper that can be manipulated and moved around. It can be done individually or in groups of 2–4. Students put things into categories or groups based on shared characteristics or connections. This routine can be combined with Take Turns, such that each time a student sorts a card into a category or makes a match, she is expected to explain the rationale while the group listens for understanding. The Trst few times students engage in these activities, the teacher should demonstrate how the activity is expected to go. Once students are familiar with these structures, less set-up will be necessary.
Why: A Card Sort provides opportunities to attend to mathematical connections using representations that are already created, instead of expending time and eWort generating representations. It gives students opportunities to analyze representations, statements, and structures closely and make connections (MP2, MP7).
Extend it
Extend It indicates activities where students have an opportunity to use a spreadsheet to produce a sequence of numbers to see patterns and make prediction.
Fit it
Plot It indicates activities where students have an opportunity to use a table of points to produce a graph to see patterns and make predictions. Also when appropriate, Tnd a function that best Tts the data.
Graph it
Graph It indicates activities where students have an opportunity to use graphing technology to visualize a graph representing one or more functions with known parameters and use the tool to Tnd features like intersection points, intercepts, and
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Course Guide
Algebra