Standards for Mathematical Practice

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This activity helps students become familiar with positional words and develop systematic thinking. Students use the clues provided to arrange six colored squares in an array, either on paper or with the interactive Flash applet that is provided. The Teachers' Notes page includes suggestions for implementation, discussion questions, ideas for extension and support and a printable sheet (doc). Students may be asked to create a similar problem for others to solve. | Activity, Interactive Media Grade Level: 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 brief article describes the components of high-quality mathematical discourse that engages students and fosters conceptual understanding. The author discusses the interrelationship of the CCSS Mathematical Practices and provides a list of references. | Reference Materials, Article Grade Level: K, 1, 2, 3, 4, 5 Resource is part of a PD collection | |

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 | |

This four-part E-Example from Principles and Standards for School Mathematics of the NCTM standards highlights how mathematical games can foster mathematical communication as students explain and justify their moves to one another in a fraction game. In addition, a video is included that demonstrates students engaged in thinking about and applying their mathematical concepts and skills. The game "Playing Fraction Tracks" is cataloged separately. | Activity, Game, Interactive Media Grade Level: 3, 4, 5 Resource is part of a PD collection | |

This 8-page monograph discusses the importance of developing student communication in mathematics, both oral and written, and the elements that make communication effective. It describes three approaches for organizing and facilitating students sharing their thinking about problem solving: Gallery Walk, Math Congress, and Bansho (Board Writing). The author provides tips for getting started with these strategies and a list of references. | Instructional Strategy, Reference Materials, Article Grade Level: 1, 2, 3, 4, 5 Resource is part of a PD collection | |

This professional development video clip shows students engaged in the Common Core Practice Standard #3-Construct viable arguments for conclusions reached and critique the reasoning of others. Students work with geoboards to explore the concept of "halves" which requires them to explain their reasoning and justify their findings to their classmates. Additional resources include a video transcript, teaching tips, and a link to a professional development reflection activity based upon the video. A related clip (cataloged separately) shows the same exploration by the same students but the video is focused on Common Core Practice Standard #6—Attend to precision is evident. | Instructional Strategy, Video Grade Level: 3, 4, 5 | |

This professional development video clip shows students in a bilingual classroom engaged in the Common Core Practice Standard #3-Construct viable arguments for conclusions reached and critique the reasoning of others. Students observe ladybugs and collect data in order to answer quantitative questions-What is the the number of antennae, heads, mouths, feet, and wings. The individual data is compiled into a class chart and the learners compare and discuss data as a class. Additional resources include a video transcript, teaching tips, and a link to a professional development reflection activity based upon the video. | Instructional Strategy, Video Grade Level: 1 | |

This professional development video clip shows students engaged in the Common Core Practice Standard #3—Construct viable arguments for conclusions reached and critique the reasoning of others. In this lesson, learners work in groups to discuss and revise their estimates of how many seeds are in a small pumpkin. Additional resources include a video transcript, teaching tips, and a link to a professional development reflection activity based upon the video. | Instructional Strategy, Video Grade Level: 1, 2 | |

This article discusses an inquiry practice that encourages students to develop their mathematical thinking through discussion. The author describes examples of students taking ownership of their learning when they are encouraged to justify their positions through sound mathematical reasoning. This practice builds a foundation for formal proofs. | Instructional Strategy, Reference Materials, Article Grade Level: K, 1, 2, 3, 4, 5 Resource is part of a PD collection |