Standards for Mathematical Practice

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Resource | Resource Type Grade Level | Rating |
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This interactive Sudoku puzzle develops logical thinking and perseverance. With this puzzle a player must place the Christmas items in the cells such that each picture appears only once in each row, once in each column, and once in each 3x3 grid. | Interactive Media Grade Level: 4, 5 | |

In this blog entry Michelle Flaming describes what the implementation of MP 7 looks like in the classroom. She lists student actions, teacher actions, and open-ended questions that teachers can ask to help students find and make use of structure in the ways required by MP 7. | Reference Materials, Community Grade Level: K, 1, 2, 3, 4, 5 Resource is part of a PD collection | |

This brief article relates the legend of young Gauss and the summing of consecutive numbers. Readers are asked to apply the method and they are shown a general solution. A link to a printable page is provided as well as links to related topics. | Reference Materials, Article Grade Level: 3, 4, 5, 6+ | |

This activity and Java applet allows a student to explore modular arithmetic. It is also a tool for finding remainders where all the possible numbers (the numbers less than the divisor) are put in a circle or clock. The learner uses the scroll bar to modify the size of the clock from 2 to 26 hours, sets a starting value and then moves the "clock" forward a number of specified hours to see the resulting sum. Support pages for the learner and the instructor are included. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

In this 4-minute video, educators can watch a teacher deliver a fourth grade lesson on using number sense, arrays, and simpler calculations to solve a more complex problem, called a cluster problem. Watch this teacher check for understanding of multiplicative distribution and the use of arrays. | Lesson Plans, Video Grade Level: 3, 4, 5 Resource is part of a PD collection | |

In this five page NCTM article, the author details the experience of a kindergarten class collecting data on a nature walk. The author describes the process of determining how the class would collect data and what kind of data they would collect. In this particular activity the class was collecting measurement data. | Reference Materials, Article Grade Level: K, 1, 2 | |

This interactive Java applet helps students analyze and extend patterns. The applet displays a pattern of beads and the user selects colors in the correct sequence to continue the pattern. The applet acknowledges each correct solution and encourages the user to fix any incorrect ones. | Activity, Interactive Media Grade Level: Pre-K, K, 1 | |

This 2-lesson unit focuses on combinations, a subject related to probability. Students develop strategies for discovering all the possible combinations in two given situations. They learn to collect and organize data and then use the results to generalize methods for determining possible combinations. They discuss how the number of possible outcomes is affected by decisions about the order of choices, or whether choices may be repeated. The unit includes student activity sheets, questions and extensions for students, and a link to an interactive applet. | Activity, Interactive Media, Lesson Plans, Unit of Instruction Grade Level: 3, 4, 5 | |

This series of nine articles interprets and illustrates each of the eight Mathematical Practices of the Common Core State Standards as they might be exemplified in grades K-5. The final article sheds light on how curriculum needs to connect the Practices with the Content Standards. | Reference Materials, Article Grade Level: K, 1, 2, 3, 4, 5 Resource is part of a PD collection | |

In this 6-lesson unit, students explore 5 models of subtraction (counting, sets, number line, balanced equations, and inverse of addition) using connecting cubes. The lesson activities focus on the comparative mode of subtraction as children investigate the relationship between addition and subtraction, write story problems in which comparison is required, and practice the subtraction facts. The lessons include printable student activity sheets, a bibliography of children's counting books, questions for student discussion and teacher reflection, assessment options, extensions, and links to online applets (cataloged separately). | Activity, Lesson Plans, Unit of Instruction Grade Level: K, 1, 2 |