Standards for Mathematical Practice

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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 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 | |

In this 1.5-minute video, mathematician Dr Ria Symonds describes a characteristic of numbers such as 7, which after repeated squaring of digits and summing of the squares, result in the number 1, the first natural number. This introduction invites an investigation to find other "happy" numbers, and to find out what happens to "sad" numbers. | Activity, Video Grade Level: 3, 4, 5 Resource is part of a PD collection | |

With this interactive Java Sketchpad applet students use spatial reasoning, visualization, estimating and measuring skills to explore the properties of circles. The center and a point on the circumference can be moved to provide numerous examples. Also included are tasks that focus the learner's manipulations. | Activity, Interactive Media Grade Level: 4, 5, 6+ | |

This interactive Java applet allows users to explore many types of polyhedra including the Platonic and Archimedean solids, as well as prisms and pyramids among other more advanced shapes. The shape can be rotated and viewed as a solid or a frame. Other tabs allow the user to use slider bars to animate cutting, unfolding to form nets, and other modeling options including truncating the shape. A link is also provided for a printable net of the shape. The resource loads on PC's only. | Interactive Media Grade Level: 3, 4, 5, 6+ | |

This problem asks students to visualize a square drawn on a clock face and estimate and calculate its area. The problem can be solved without use of the Pythagorean Theorem. Ideas for implementation, extension and support are included along with printable sheets of clock faces. | Activity Grade Level: 3, 4, 5 | |

This set of three interactive challenges from the Annenberg Teachers' Lab has learners investigate properties of squares and groups of squares. In Quilts learners construct quilt blocks exhibiting four types of symmetry. In Taxicab Treasure Hunt, they work with distance and direction on a grid of city streets. Finally, in From Corner to Corner learners measure the sides and diagonals of squares looking for an approximate relationship between the two measures. Background discussion and NCTM standards information is included. | Activity, Game, Interactive Media Grade Level: 3, 4, 5 Resource is part of a PD collection | |

This interactive Flash lesson gives students practice in classifying triangles and measuring angles. Despite its title, the lesson explains, compares and contrasts acute, obtuse, right, scalene, isosceles and equilateral triangles. Students are given practice using a virtual protractor to aid in the classifications. A Teacher Guide (pdf) is available [see #5 at MathActive Lessons for Grades 5-6, cataloged separately]. The lessons list also includes links to Spanish, Navajo, and non-voiced versions of this lesson. | Activity, Interactive Media, Tutorial Grade Level: 4, 5, 6+ |