Number and Operations in Base Ten

Use place value understanding and properties of operations to perform multi-digit arithmetic.

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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 web site contains information and interactive applets related to our Hindu-Arabic number system. Users learn the history and structure of the system as well as how to count and write numbers. Users can learn and practice various algorithms for whole number computation and explore fractions, decimals and percents in our number system. The site explains various sets of numbers and how they relate to operations. | Activity, Interactive Media, Tutorial, Reference Materials Grade Level: 1, 2, 3, 4, 5 | |

This question and answer service for math students and their teachers offers a searchable archive all about place value at the elementary level. Topics addressed include rounding, estimating, significant digits, and scientific notation. | Community Grade Level: 3, 4, 5, 6+ | |

This financial literacy activity requires students to determine how to spend within a budget. The purpose of this task is to have students solve problems using all four operations and represent their solutions on a bar graph. | Activity Grade Level: 3, 4, 5 | |

This article proposes a structured set of lively, brief, daily exercises designed to help children master number facts and mental math skills. Each day's practice focuses on a small, highly focused, manageable, and strategically selected set of facts or skills that builds directly on the previous days' learning. Related resources (Practice and videos) are cataloged separately. | Activity, Instructional Strategy, Reference Materials, Article Grade Level: 1, 2, 3, 4, 5 Resource is part of a PD collection | |

This interactive applet helps students develop mental arithmetic skills and strategies for learning multiplication facts. Frog asks the user to type in a known multiplication fact and then asks the user to complete a related fact by using one of several strategies, including commutativity, doubling a factor, halving a factor, multiplying one factor by 10. The student's fact and Frog's related one are recorded in a window to help students discover relationships and internalize the strategies. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

Leonardo Fibonacci's multiplication algorithm arrays the digits of multiplicands along a rectangular lattice. Read an explanation of the technique, see a few worked examples, and watch the method in action with a Java applet. Clicking a little off-center of any digit of a multiplicand (left to increase, right to decrease) instantly changes resulting products and sums throughout the lattice. | Demonstration, Interactive Media Grade Level: 3, 4, 5 | |

This Java applet offers an interactive version of the standard "long" multiplication algorithm. Click any digit of either multiplicand slightly off-center (left to increase, right to decrease) and watch the corresponding products change accordingly. In addition to check-boxes to toggle the appearance of trailing zeros and other display choices, the applet also lets you change bases -- from base 3 to base 36. | Demonstration, Interactive Media Grade Level: 3, 4 | |

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 |