Number and Operations—Fractions

Develop understanding of fractions as numbers.

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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 problem requires a sound understanding of the fraction relationship between part and whole and can be used for finding fractions of numbers and quantities. Students are given the fractional amount of apples in a fruit bowl and the specific number of other fruit in the bowl in order to figure out how many apples are in the bowl. The Teachers' Notes page includes suggestions for implementation, discussion questions, ideas for extension, a link to a worksheet which provides student support, and a downloadable pdf of the puzzle. | Activity Grade Level: 2, 3, 4, 5 | |

This webpage for math students and their teachers offers a searchable archive of questions and answers about fractions and decimals at the elementary level. Equivalent fractions, common denominators, all four operations, fraction and decimal conversions, and other topics are included. | Community Grade Level: 3, 4, 5 | |

This 5-minute professional development video clip shows students engaged in the Common Core Practice Standard #6, as students explore fractions through fraction strips and a game. The learners attend to precision in terms of accurately adding fractions to one exact whole, communicating their ideas clearly, and recording results. Additional resources include a video transcript, teaching tips, and a link to a professional development reflection activity based upon the video. | Instructional Strategy, Video Grade Level: 1, 2, 3, 4 | |

This 2.5 minute animation introduces children to the concept of a fraction as part of a whole. It defines numerator and denominator in both slash and horizontal bar format and challenges viewers to name two fractions represented by visual models. | Lecture/Presentation, Video Grade Level: 2, 3, 4 | |

In this interactive game, students build bridges using fractional lengths in the form of fraction bars. Gap length may be known or unknown, entirely empty or partially filled. Fractions to fill the gap must be constructed in specific ways, using the four basic operations. After five tries at one level, the game resets. Note that the game sometimes expects particular answers: students may need to multiply 2/5 by 3 rather than multiplying 3/5 by 2, for example, even though both computations would produce the same result. | Game Grade Level: 3, 4, 5 | |

In this 7-minute video Dr. Thomas P. Carpenter discusses the importance of building children's conceptual understanding of fractions by building on their intuitive knowledge of sharing and apportioning objects. Dr. Carpenter provides examples of student responses to challenging problems. A transcript of this recording is available in PDF format. | Video Grade Level: 3, 4, 5 | |

This 22 slide interactive module provides details and examples to support the progression of the CCSS Fraction Standards for grades 1-8. Throughout the module are active links to the standards, a glossary, and examples and solutions. | Reference Materials, Voice Recording Grade Level: 1, 2, 3, 4, 5, 6+ | |

This 1-hour webcast introduces some key notions of numeracy coaching from the experiences of Ontario classroom teachers, principals, consultants, superintendents, and math education researchers. These educators share examples of effective instructional strategies in problem solving. Their professional development model involves co-teaching and inquiry; teams of educators consult with a classroom teacher prior to a lesson, observe the lesson, review the results, and plan next steps. The video can be streamed or downloaded as a podcast. | Instructional Strategy, Video Grade Level: 1, 2, 3, 4, 5 |