Standards for Mathematical Practice

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This web page provides links to resources aligned to the CCSS that guide and support third grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS) and Problems of the Month, (POM home page is cataloged separately) developed by the Noyce Foundation are included. The tasks were designed to measure students’ ability to solve non-routine problems, explain and justify their solutions, and promote high level thinking skills. They include the scoring rubric, student responses, and discussion of student understanding and misconceptions. Resources are listed for specific grade 3 standards and are also organized by progression for an alternate search route. | Instructional Strategy, Problem Set, Reference Materials Grade Level: 3 | |

This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 3.G1 and 3.G2. It also has links to supplementary literature and learning materials. | Activity, Problem Set, Image Set Grade Level: 3 | |

This half-hour video includes 18 classroom excerpts from classroom lessons which show students representing, discussing, reading, writing, and listening as vital parts of learning and using mathematics. It shows how communication that arises naturally from rich tasks and experiences fosters understanding of mathematical concepts and development of mathematical language. | Instructional Strategy, Video Grade Level: K, 1, 2, 3, 4, 5 Resource is part of a PD collection | |

This 75-page pdf document demonstrates the connections between the CCSS content standards and the mathematical practice standards. It is a compilation of research, standards from several states, instructional strategies, common misconceptions, and examples for each standard at the grade 4 level. It is intended to help teachers understand what each standard means in terms of what students must know and be able to do. Additional flip books are cataloged separately for grades K-3 and 5. | Instructional Strategy, Reference Materials Grade Level: 4 | |

This web page provides links to resources aligned to the CCSS that guide and support fourth grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS) for the Noyce Foundation, Problems of the Month, (POM home page is cataloged separately) and videos of public lessons and number talks developed by the Noyce Foundation are also included. The performance tasks were originally designed to measure students' ability to solve non-routine problems and then to explain and justify their solutions. The task scoring rubric, student responses, and discussion of student understanding and misconceptions are provided to improve instruction. Resources are listed for specific grade 4 standards and are also organized by progression for an alternate search route. | Activity, Instructional Strategy, Problem Set, Reference Materials, Video Grade Level: 4 | |

This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 4.G1 through 4.G3. It also has links to supplementary literature and learning materials. | Activity, Problem Set, Image Set Grade Level: 4 | |

The author presents five principles of developing a problem solving culture that he believes will allow students to grow into mathematical thinkers and sophisticated problem solvers: conjecture, communication, collaboration, chaos, and celebration. Each of these principles encompasses several mindsets and practices, which enable the teacher to build that culture in the classroom. The author includes a link to his webinar on this topic, "Creating a Culture of Problem Solving in Your School or Classroom" (cataloged separately). | Instructional Strategy, Community Grade Level: K, 1, 2, 3, 4, 5, 6+ | |

This 24-min video includes 16 classroom vignettes that illustrate the central role of reasoning in mathematics. Students use a variety of models and strategies; they explain and justify their thinking and solutions. Teachers emphasize the importance of reasoning in the problem solving process. | Instructional Strategy, Video Grade Level: K, 1, 2, 3, 4, 5 Resource is part of a PD collection | |

This 68-page pdf document demonstrates the connections between the CCSS content standards and the mathematical practice standards. It is a compilation of research, standards from several states, instructional strategies, common misconceptions, and examples for each standard at the grade 5 level. It is intended to help teachers understand what each standard means in terms of what students must know and be able to do. Additional flip books are cataloged separately for grades K-4. | Instructional Strategy, Reference Materials Grade Level: 5 | |

This web page provides links to resources aligned to the CCSS that guide and support fifth grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS), Problems of the Month, (POM home page is cataloged separately) and videos of public lessons and number talks developed by the Noyce Foundation are included. The tasks were designed to measure students' ability to solve non-routine problems, explain and justify their solutions, and promote high level thinking skills. They include the scoring rubric, student responses, and discussion of student understanding and misconceptions. Resources are listed for specific grade 5 standards and are also organized by progression for an alternate search route. | Instructional Strategy, Problem Set, Reference Materials, Video Grade Level: 5 |