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Classroom Sneak Peek  Mathematical Practice #4
The past couple of weeks I began blogging about the 8 Mathematical Practices from the Common core. I finished Mathematical Practice # 1, Mathematical Practice # 2, and Mathematical Practice #3. This week the focus is on CCSS Mathematical Practice #4  Model with mathematics. I'll address what this looks like in the classroom, what students will be doing, what teachers will be doing, and the most important, the type of questions teachers will be asking. Dan Meyer was at ESSDACK where he worked with middle and high school teachers to discuss what this "modeling with math" looks like at that level.
4. Model with mathematics.
Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, twoway tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.
What does this really look like? The chart below is a work in progress. I've designed this with the expertise of many classroom teachers. If you have other ideas, please don't hesitate to email me and share your expertise as well. If you are interested in using this process with your staff, read What Do The Common Core Standards Look Like in the Math Classroom.
Mathematical Practice: Model with mathematics.
Student Actions: 
Teacher Actions: 
OpenEnded Questions: 


