Number and Operations—Fractions

Understand decimal notation for fractions, and compare decimal fractions.

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This 8-page article from Teaching Children Mathematics discusses how overgeneralizing commonly accepted practices, using imprecise vocabulary, and relying on tips and tricks that do not promote conceptual mathematical understanding can lead to misunderstanding later in students’ math careers. The authors provide a table of some "expired" mathematical language and suggest more appropriate alternatives. | Instructional Strategy, Reference Materials, Article Grade Level: K, 1, 2, 3, 4, 5, 6+ Resource is part of a PD collection | |

This 75-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 4 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-3 and 5. | Instructional Strategy, Reference Materials Grade Level: 4 | |

This page provides examples of 4th Grade Number (Operations and Algebraic Thinking, Number and Operations in Base Ten, and Number Operations-Fractions) activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for the 4th Grade Number Activities listed are in PDF format. | Activity, Game Grade Level: 4 | |

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 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+ | |

Teachers can use this interactive tool to help students build a conceptual understanding of fractions by comparing and ordering numeric representations, or comparing fractions using symbols (>, < or =). This page includes a video demonstration of the tool and sample lessons from the Conceptua curriculum. Free registration is required to use the tool. A paid subscription is necessary to access full curriculum and allow full student use. | Activity, Demonstration, Interactive Media, Video Grade Level: 3, 4, 5 | |

Students sort equivalent fractions, decimals, and percents in this interactive game. Each of the nine levels is more difficult than the last. A "check" button gives students three checks before the solution is revealed, and highlights incorrect groupings with each try. | Game Grade Level: 4, 5, 6+ | |

Students sort equivalent fractions, decimals, and percents in this interactive game. Each of the nine levels is more difficult than the last. A "check" button gives students three checks before the solution is revealed, and highlights incorrect groupings with each try. This version is enhanced for interactive whiteboards (IWBs). | Game Grade Level: 4, 5, 6+ | |

This interactive applet helps develop number sense. The user mentally estimates a number that is represented by an arrow on a number line and then checks the estimate by clicking to have the exact number revealed. Users can choose a number range for whole numbers (between 0 and 10, 100, 1000 or 10,000) or decimals (tenths or hundredths between 0 and 1). An optional scale of tick marks provides guidance. The activity does not provide a scoring component. | Interactive Media Grade Level: K, 1, 2, 3, 4, 5 | |

Teachers can use this interactive tool to help students develop fraction sense. After a teacher places a fraction, decimal, or expression on the screen, students determine which given benchmark number it is closest to. An adjustable number line supports conceptual understanding. This page includes a video demonstration of the tool and sample lessons from the Conceptua curriculum. Free registration is required to use the tool. A paid subscription is necessary to access full curriculum and allow full student use. | Activity, Demonstration, Interactive Media, Video Grade Level: 3, 4, 5, 6+ |