Standards for Mathematical Practice

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This article (pdf) describes a game for 2-5 players that develops fluency with whole number operations. The game is played on a non-standard 8 by 8 number grid with three dice. Players take turns rolling the dice and forming expressions that result in a target number on the grid. The name "Contig" refers to the fact that players score points by claiming a number adjacent to occupied squares. A Contig game board is provided as well as a game board (same numbers rearranged), rule sheet and scoring sheet for Number Neighborhood, an alternative name for the game. The author suggests game variations and discussion questions. | Activity, Game, Reference Materials, Article Grade Level: 3, 4, 5 Resource is part of a PD collection | |

The authors of this 18-page article discuss their efforts to explore the implications of using rich mathematical tasks and promoting mathematical discourse, as proposed in the NCTM's teaching standards. While team-teaching in a third grade class, they analyzed the relative merits and challenges of presenting children with convergent and divergent tasks. The article includes anecdotes to illustrate the kinds of thinking and communication that children engaged in, and the empowerment they exhibited, as they explored questions about negative numbers and regrouping in subtraction. | Reference Materials, Article Grade Level: 2, 3, 4, 5 Resource is part of a PD collection | |

In this 15 minute video, Mary Holden and her 4th/5th grade class reason about the appropriateness of different computational methods (base-ten blocks, calculators, mental math, or paper and pencil) to specific problems. The video includes a description of how the teacher manages her multi-level class and encourages hands on exploration and discussion in small group learning sessions. At the conclusion of the video are reflection questions for professional development. | Activity, Instructional Strategy, Video Grade Level: 3, 4, 5 Resource is part of a PD collection | |

This 46-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 1 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 and 2-5. | Instructional Strategy, Reference Materials Grade Level: 1 | |

This web page provides links to resources aligned to the CCSS that guide and support first 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 activities were designed to measure students' ability to solve non-routine problems, explain and justify their solutions, and promote high level thinking skills. Resources are listed for specific grade 1 standards and are also organized by progression for an alternate search route. | Instructional Strategy, Problem Set, Reference Materials Grade Level: 1 | |

This problem with multiple solutions offers an opportunity for students to practice simple addition and subtraction, work with number sentences (equations), and develop systematic work habits. Given cards containing the addition, subtraction and equal signs along with the digits 2, 4, 6, and 8. solvers are challenged to find as many ways as possible to arrange some or all seven cards to create true statements. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for extension and support, printable cards (pdf) and a link to an interactive Flash applet. | Activity, Interactive Media Grade Level: 1, 2 | |

This 34-page document (pdf) identifies student learning outcomes for each of eleven 21st Century Skills and provides examples of tasks for grade 4, 8, and 12. It strives to fuse mathematical content and mathematical practices with the 4Cs (communication, collaboration, critical thinking and creativity) and integrate them with interdisciplinary themes. Each skill is aligned with CCSS mathematical practices. This map was designed by the Partnership for 21st Century Skills (P21) in cooperation with the Mathematical Association of America (MAA), the National Council of Teachers of Mathematics (NCTM), and dozens of math educators across the country. | Activity, Instructional Strategy, Reference Materials Grade Level: K, 1, 2, 3, 4, 5, 6+ | |

This 51-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 2 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-1 and 3-5. | Instructional Strategy, Reference Materials Grade Level: 2 | |

This web page provides links to resources aligned to the CCSS that guide and support second 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 2 standards and are also organized by progression for an alternate search route. | Assessment, Instructional Strategy, Problem Set, Reference Materials, Video Grade Level: 2 | |

This 60-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 3 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-2 and 4-5. | Instructional Strategy, Reference Materials Grade Level: 3 |