Illustrative MathematicsStandards for Mathematical Practice: Commentary and Elaborations for Grades K-5

Description: Explanations and examples of how the Standards for Mathematical Practice apply to Grades K-5. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. Young students might use concrete objects or pictures to show the actions of a problem, such as counting out and joining two sets to solve an addition problem. If students are not at first making sense of a problem or seeing a way to begin, they ask questions that will help them get started. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient elementary students may consider different representations of the problem and different solution pathways, both their own and those of other students, in order to identify and analyze correspondences among approaches.their answers to problems using a different method, and they continually ask themselves, "Does this make sense?" When they find that their solution pathway does not make sense, they look for another pathway that does.the approaches of others to solving complex problems and identify correspondences between different approaches.

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