Number and Operations—Fractions

Understand decimal notation for fractions, and compare decimal fractions.

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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 | |

In this series of three hands-on activities, students develop an understanding of the relationship between fractions, decimals, and percents based upon models of hundredths. Each activity requires students to display their one hundred pieces of candy in a different way: linear model, grid model (rectangular area), and region model (circle graph/pie chart). This lesson includes student worksheets, assessment questions, extension suggestions, and a link to a circle graph tool. | Activity, Lesson Plans Grade Level: 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 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 five-minute video presents two algorithms for converting a fraction into decimal form. After a brief discussion of decimal place value, the first method, changing a fraction to an equivalent number of tenths or hundredths, is shown. Next, the division of numerator by the denominator is demonstrated. | Lecture/Presentation, Video Grade Level: 4, 5, 6+ | |

This lesson provides practice in converting common fractions (tenths, fifths and halves) to decimal equivalents and expressing decimals (tenths) as equivalent fractions in reduced form. It includes instructions and a link to an interactive Java applet. Students get feedback for each of the 18 examples in a round. A downloadable student worksheet with warm-up and follow-up exercises is included in Word and pdf formats. | Activity, Interactive Media, Lesson Plans Grade Level: 4, 5 | |

This familiar game can be played by one or two players taking turns. Players choose to match equivalent representations of numbers, shapes, fractions, or multiplication facts. The game can be played in clear pane mode, or for added challenge, with the windows closed. | Game Grade Level: K, 1, 2, 3, 4, 5 | |

This is the NCTM Android app of their familiar on line Illuminations game, "Concentration" ( cataloged separately ) which challenges a user to match whole numbers, shapes, fractions, or multiplication facts to equivalent representations. This game can be played by one or two players taking turns and can be played in clear pane mode, or for added challenge, with the windows closed. | Game, Mobile App Grade Level: K, 1, 2, 3, 4, 5 | |

This NCTM iOS app of the familiar online Illuminations game, "Concentration" (cataloged separately) challenges a user to match whole numbers, shapes, fractions, or multiplication facts to equivalent representations. This game can be played by one or two players taking turns and can be played in clear pane mode, or for added challenge, with the windows closed. | Game, Mobile App Grade Level: K, 1, 2, 3, 4, 5 |