Measurement and Data

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

7. Relate area to the operations of multiplication and addition.

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This 60-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 3 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-2 and 4-5. | Instructional Strategy, Reference Materials Grade Level: 3 | |

This web page provides links to resources aligned to the CCSS that guide and support third grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS) and Problems of the Month, (POM home page is cataloged separately) 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 3 standards and are also organized by progression for an alternate search route. | Instructional Strategy, Problem Set, Reference Materials Grade Level: 3 | |

This interactive Java applet allows users to explore relationships between shapes with a fixed perimeter and variable area. Random irregular shapes or rectangles with a fixed perimeter are displayed on a grid, and then the user enters the area of the figure. An optional scoring feature allows users to keep track of the number correct. | Interactive Media Grade Level: 3, 4, 5 | |

This 5-minute video addresses the relationship of the measures area and perimeter. It gives several examples of rectangles that have the same area measure and different perimeters. Labels are shown and calculations explained. | Demonstration, Video Grade Level: 3, 4, 5 | |

This interactive Wolfram Demonstration helps students visualize the relationship between multiplication and the area of a rectangle. On a 10x10 multiplication table, with 1 in the lower left and 100 in the upper right, users adjust the size of a rectangle by dragging a vertex or sliders, or by choosing a product from a pulldown list. The resulting rectangle highlights the width, height and area (factors and product) as well as other equivalent areas (products) on the board, illustrating commutativity and multiple factor pairs. Wolfram CDF Player, a free download, is required to view this resource. | Activity, Interactive Media Grade Level: 3, 4, 5 Resource is part of a PD collection | |

This question and answer service for math students and their teachers offers a searchable archive all about measurement at the elementary level. | Reference Materials, Community Grade Level: 3, 4, 5, 6+ | |

This question and answer service for math students and their teachers offers a searchable archive all about two-dimensional geometry at the elementary level. | Reference Materials, Community Grade Level: 3, 4, 5, 6+ | |

This narrative document describes the progression of Geometric Measurement across the K-5 grade band. It is informed both by research on children's cognitive development and by the logical structure of mathematics. The document discusses the most important goals for elementary geometric measurement. Among those are recognizing measurable attributes, comparing, connecting with number, estimating, and differentiating linear measurement from area and volume. | Reference Materials, Article Grade Level: K, 1, 2, 3, 4, 5 Resource is part of a PD collection | |

This interactive Java applet helps students explore the relationship between area and multiplication. First, users are asked to input all factor pairs of a given number. Then, selecting each of those factor pairs, the user draws the respective rectangular array by clicking and dragging across a grid. Options include the use of the commutative property (e.g., user must enter both 2x4 and 4x2 for factors of 8 and represent them with different arrays), entering a number of the user's own choice, and an optional scoring feature allowing the user to keep track of the number correct. | Interactive Media Grade Level: 2, 3, 4 | |

This interactive Java applet helps students explore the relationship between area and multiplication. Users are asked to draw all possible factorizations of a number as rectangular arrays by clicking and dragging across a grid. Options include the use of the commutative property (e.g., user must enter both 2x4 and 4x2 for factors of 8 represented by different orientations of the array), entering a number of the user's own choice, and an optional scoring feature allowing users to keep track of the number correct. | Interactive Media Grade Level: 2, 3, 4 Resource is part of a PD collection |