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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Resource | Resource Type Grade Level | Rating |
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This problem asks students to solve for and compare the dimensions and perimeters of rectangles of equal area. Students are shown two rectangular formations made from nine congruent tiles. The activity includes links to a solution hint, the solution, related math questions, and additional resources. | Activity 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 | |

This activity gives students the chance to explore area and perimeter in a problem solving setting. Nine differently-sized squares need to be tiled into a rectangular frame of unknown proportions. Three prompts of solving strategies are provided. Ideas for implementation, extension and support are included along with a printable sheet of the problem. | Activity Grade Level: 3, 4, 5 | |

In this 28-minute professional development video, teachers focus on geometry and spatial relations by having students explore shapes that tessellate and have the same area. Teachers from different grade levels collaborate on what they want their students to be able to understand and accomplish. Viewers can watch how a 3rd-grade teacher guides his students in understanding area through the application of tessellations. Support Materials includes a Sidewalk Capers Lesson Plan. | Activity, Lesson Plans, Video Grade Level: 3, 4, 5 | |

The applets in this Interactive Geometry Dictionary (IGD) will allow students an opportunity to explore finding the area of some common shapes. The applets demonstrate how to find the area of a triangle using the area of a parallelogram, which in turn can be found using the area of a rectangle. This tool also supports the lesson "What's My Area" cataloged separately. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

In this 4-lesson unit, students identify, compare, and analyze attributes of two- and three-dimensional shapes, and develop geometric vocabulary. Students use basic linear measurement, understand and create scale representations, and explore perimeter and area measurement as they design their clubhouses. Activity sheets (pdf), lesson extensions and other commentary are provided. | Activity, Interactive Media, Project, Unit of Instruction Grade Level: 3, 4, 5, 6+ Resource is part of a PD collection | |

In this set of problems students apply their knowledge of area and perimeter to the American Flag in order to gain understanding about the flag's size. The resource page includes suggested problems and a link to more flag facts in order to create additional problems. | Activity, Problem Set Grade Level: 3, 4, 5 | |

This document provides descriptions and examples of what each Mathematics Common Core standard means a Grade Three student will know, understand and be able to do. This "unpacking" of the standards provides instructional guidelines and was developed to assist North Carolina educators teach the Mathematics Common Core (Standard Course of Study). | Reference Materials Grade Level: 3 |