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 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 Java applet shows the distributive property in action. Toggle to change the height and width of a rectangle, the side lengths of which represent two factors; click on any interior edge of the rectangle's unit squares to create a new re-grouping. An expression appears at the bottom displaying the numeric representation of the new groups, illustrating the distributive property. | Interactive Media Grade Level: 3, 4, 5 | |

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 iOS app is an open-ended tool for exploring a variety of mathematical topics. Learners stretch colored bands around pegs to form line segments and polygons in order to make discoveries about perimeter, area, angles, congruence, and fractions. Users can switch from a 25-peg board to an expanded 150-peg board and fill in the interior of shapes with transparent color. | Interactive Media, Mobile App Grade Level: K, 1, 2, 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 | |

This lesson helps students develop conceptual understanding of 2-digit multiplication. Students decompose 2-digit numbers, model area representations using the distributive property and partial product arrays, and carry out paper-and-pencil calculations from the arrays. Included are student activity sheets, a link to a supporting online applet, and extension suggestions. | Activity, Lesson Plans Grade Level: 3, 4, 5 Resource is part of a PD collection | |

This interactive Java applet use arrays and three different computational models (Grouping, Common, or Lattice) to help students visualize and understand the process of multiplication of whole numbers. In each method the user drags sliders to adjust the two factors and then observes the resulting changes in the rectangular array and in the respective algorithm and product. | Activity, Interactive Media Grade Level: 2, 3, 4, 5 Resource is part of a PD collection | |

This is a sample PARCC assessment task based on CCSS grade 3 operations and algebraic thinking standards as well as the measurement and data standards. In this interactive multi-step task students must write a number sentence that can be used to find how many tiles high the mural is at school and then show the value of the Distributive Property in solving a problem. Included are the alignments to the CCSS, a scoring rubric and background on the task itself. | Assessment, Problem Set, Reference Materials Grade Level: 3 |