Standards for Mathematical Practice

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In this lesson plan students learn to create bar graphs using unifix cubes, translate this representation to graph paper, and then compare the data that has been collected and displayed. Students are encouraged to make up their own questions about the data (favorite juice) and to practice with multiple sets of data. Sample questions for students and extension ideas are included. The lesson contains links to a PDF of graph paper and the Bar Grapher tool which is cataloged separately in this database. | Activity, Lesson Plans Grade Level: Pre-K, K, 1, 2 | |

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 | |

Teachers can use this interactive tool to help students build a conceptual understanding of fractions by comparing and ordering numeric representations, or comparing fractions using symbols (>, < or =). This page includes a video demonstration of the tool and sample lessons from the Conceptua curriculum. Free registration is required to use the tool. A paid subscription is necessary to access full curriculum and allow full student use. | Activity, Demonstration, Interactive Media, Video Grade Level: 3, 4, 5 | |

This unit contains two lessons which help students develop number sense through activities involving collection, representation, and analysis of data. Students also practice reading and writing large numbers and develop estimation skills. In Lesson 1, Every Breath You Take, students estimate the number of breaths taken during a specified time, experiment, and display real-life data. In Lesson 2, Making Your First Millions, students develop the concept of a million by working with smaller numerical units, such as blocks of 10 or 100, and then expanding the idea by multiplication or repeated addition. They analyze situations and identify patterns that will enable them to develop the concept of large numbers. Each lesson includes student activity sheets, an instructional plan, and extensions. | Activity, Experiment/Lab Activity, Lesson Plans, Unit of Instruction Grade Level: 3, 4, 5, 6+ | |

This brief article discusses the Count the Beat project, which incorporates music into math instruction. The instructors in this project began each lesson with a brief math exercise followed by a more in-depth music task utilizing number lines, fractions, ratios, and/or probability. While music professionals carried out this project the article does offer some suggestions for application in the math classroom without music professional. | Activity, Reference Materials, Article Grade Level: 3, 4, 5 | |

Solvers of this problem apply number sense and logical reasoning to determine the numbers of cows and sheep in each of five fields by using clues about how many cows and sheep can be seen by each animal. The problem includes questions for getting started, suggestions for implementation and differentiation, a printable student page, and sample solutions. | Activity, Instructional Strategy Grade Level: 3, 4, 5 | |

This page of videos is designed to showcase classrooms in which the NCTM Process Standards are evident. Scroll to video #45, and select the "VoD" box to view the 20-minute Cranberry Estimation video. Second-graders in Massachusetts estimate the number of scoops of cranberries that will fit in a jar. They report, graph, and discuss group estimates with the class as the concepts of range, mode, and median emerge. Observe as the teacher leads the class in developing strategies, learning about new concepts, and sharing and organizing results. | Instructional Strategy, Video Grade Level: K, 1, 2, 3 Resource is part of a PD collection | |

This Flash applet allows students to create a variety of graphs: line graph, pie chart, bar graph, area graph and x-y plot. Each type provides a variety of layout and design options. Users enter data and labels and choose data parameters. Completed graphs may be printed, saved, and/or emailed. The accompanying tutorial provides general information about graphs and explains how to use the applet. | Activity, Interactive Media, Tutorial Grade Level: 3, 4, 5, 6+ | |

This lesson plan provides steps for using the open sandbox game Little Alchemy to teach Prime Factorization Trees. Little Alchemy is available as a free download or it can be opened in a webpage. The lesson plans includes a 3-minute video on how to create elements using the game. In addition to students making factor trees they can extend this lesson to write prime factorization in exponential form. | Activity, Lesson Plans, Video Grade Level: 4, 5, 6+ | |

In this blog post, the author discusses how valuable the problem-solving tool of drawing (or acting) out the problem is to help learners make sense of the problem. Within the post a story problem is presented and examples of work from students who were successful and who were not successful in solving the problem are shown. Also included is a link to an AIMS problem solving activity, "Schmoos ’n’ Goos" (cataloged separately) that is best solved by drawing a picture. | Activity, Community Grade Level: 3, 4, 5 |