Standards for Mathematical Practice

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In this activity, learners decipher a page from the Dresden Codex, one of the few Mayan books still in existence. By thinking like an archaeologist, students combine their mathematical abilities with some basic logic and trial-and-error investigation to figure out what the codex means. In the course of this explorations, participants discover: How archaeologists have figured out what Mayan documents mean. How the Mayan system of counting is like ours, and how it is different. How Mayan beliefs were tied to their understanding of mathematics. | Activity, Instructor Guide/Manual, Project, Reference Materials, Article Grade Level: 4, 5, 6+ | |

This lesson plan requires students to interpret line plots with scales to the nearest quarter of a unit. During the lesson students review measurement, elements of a line plot, and analyzing data. An independent activity is included for assessment and students' examples are included for comparison. | Activity, Lesson Plans Grade Level: 3, 4, 5 | |

In this 7-minute video Dr. Thomas P. Carpenter discusses the importance of building children's conceptual understanding of fractions by building on their intuitive knowledge of sharing and apportioning objects. Dr. Carpenter provides examples of student responses to challenging problems. A transcript of this recording is available in PDF format. | Video Grade Level: 3, 4, 5 | |

This 22 slide interactive module provides details and examples to support the progression of the CCSS Fraction Standards for grades 1-8. Throughout the module are active links to the standards, a glossary, and examples and solutions. | Reference Materials, Voice Recording Grade Level: 1, 2, 3, 4, 5, 6+ | |

In this 4-minute video cake designer Amanda Schaffer discusses how she uses mathematics throughout her work, from planning through decorating. This career requires knowledge of measurement, proportion, geometry, and arithmetic. | Video Grade Level: 3, 4, 5, 6+ | |

This sequence of eight lessons from Illuminations provides an opportunity for students to represent patterns in different ways. Students solve problems; make, explain, and defend conjectures; make generalizations; and extend and clarify their knowledge. In Lesson 1 and 2 students recognize, sort, and identify rules for sorting. In Lesson 3 learners identify the core element or unit that is repeated. In Lesson 4 students create patterns and represent them using different forms: pattern blocks, actions, objects, pictures, letters and numbers. In Lesson 5 and 7 students use an Internet-based calculator that is linked with an interactive Hundreds Chart to create, extend, and record numerical patterns in different ways. In Lesson 6 students create patterns with movement and song. The last lesson, Lesson 8 is designed as a summative assessment of students understanding of patterns. | Activity, Lesson Plans, Unit of Instruction Grade Level: K, 1, 2 | |

This sample constructed response problem for grade 3-5 students provides an opportunity to analyze patterns and develop algebraic thinking in the context of a telephone chain. It includes suggestions for adjusting the challenge level and a task-specific rubric with annotated samples of student work at each level. Free registration allows users to download a 9-page print-friendly version (pdf). | Assessment, Activity Grade Level: 3, 4, 5 Resource is part of a PD collection | |

This interactive Flash tool allows primary students to explore the concepts of equality and inequality with a balance. Learners receive cubes on both sides of a balance and must select from the given choices to determine the correct number of cubes to equalize the balance. | Activity, Interactive Media Grade Level: 1, 2 | |

This lesson plan was created using the four components of statistical problem solving as outlined in the "Guidelines for Assessment and Instruction in Statistics Education (GAISE) Report". Throughout this lesson plan students explore how to conduct a study of students' favorite chocolate in order to determine the class favorite and/or least favorite from among four choices. Students must determine how to collect the data, display the data, and the best method to interpret the data. Pictographs, sums of rankings, median scores, and bar graphs are the four methods outlined in this lesson plan for interpreting the data. The lesson plan includes an assessment and data collection sheet in pdf format. | Assessment, Activity, Lesson Plans Grade Level: 3, 4, 5 | |

In this interdisciplinary lesson plan, students must complete several physical activities and monitor their heart rate in order to collect data and make predictions about the effects of exercise on one's heartrate. The lesson includes charts to track data, a graph to display data, suggested questions, and literature resources. | Activity, Lesson Plans Grade Level: 3, 4, 5 |