Number and Operations—Fractions

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

4. Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

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This FAQ page from the Teacher2Teacher service at The Math Forum @ Drexel contains many suggestions for learning about fractions. It includes ideas contributed by T2T Associates and teacher participants. There are links to Ask Dr. Math resources, children's literature connections, and outside websites with related resources. | Instructional Strategy, Reference Materials, Community Grade Level: 3, 4, 5, 6+ | |

This interactive Flash applet displays eight fraction strips (bars, ribbons) of unit length. Denominators range from halves to twelfths. Segments of each bar can be dragged and dropped for close comparisons. | Activity, Interactive Media, Tools Grade Level: 3, 4, 5 | |

These worksheets are intended to support the teaching and learning of fractions. Problem Solving Activities are problems to be solved; Fraction Wall includes one filled-in fraction wall and two blank walls; Slicing Shapes discusses making fractions by dividing shapes equally; What's the Fraction? offers practice in fraction recognition in non-standard shapes; and Numerators and Denominators discusses the parts of fractions and their names. | Activity, Lecture/Presentation, Problem Set, Graph Grade Level: 2, 3, 4, 5 | |

In this lesson plan, students use recipes to investigate how to add two fractions with like denominators to produce improper fractions and then interpret the meaning of the result by converting improper fractions to mixed numbers and finally mixed numbers back to improper fractions. Included are two Cyberchase video clips (Crumpets Recipe and Reclaiming the Power), three worksheets, and two assessments as well as an answer key. | Activity, Lesson Plans, Video Grade Level: 4, 5, 6+ | |

This interactive Flash applet develops children's fraction concepts (partitioning, equivalence, and unit) by building on their informal understanding of rational numbers in the familiar context of sharing cookies fairly among friends. Users decide on the number of friends, the shape and number of the cookies, and how to cut and distribute them equally. The activity is very flexible and incorporates multiple representations of fractions, area models, numerical symbols, and voice cues. Downloadable pdfs of cookie images are provided as well as a User Manual that includes implementation suggests and a review of research. | Activity, Instructor Guide/Manual, Interactive Media Grade Level: 1, 2, 3, 4, 5 Resource is part of a PD collection | |

Teachers can use this interactive tool to help students build a conceptual understanding of what it means to multiply with fractions. The tool includes word problems and paraphrase applications of the word problems, visual models, and equations. It can be used to model the use of multiplication to find the product for both "groups of" and "parts of" problems. 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, Lesson Plans, Video Grade Level: 4, 5, 6+ | |

In these pattern block activities, students explore geometric models of fractions to discover relations among them, reinforcing their concepts of fractions and providing a visual model for fraction operations. Lessons can be worked on paper or using a pattern block applet. Teacher notes are included. | Activity, Problem Set Grade Level: 3, 4, 5, 6+ | |

This interactive Java applet allows users to explore rotations and composing shapes by selecting various shapes to place on the drawing board, then moving and rotating them. There are many other possibilities for instruction including fractions, patterns, ratios, tessellations, symmetry, patterns, and perimeter. Shapes which can be placed on the board include equilateral triangles, isosceles trapezoids, regular hexagons, rhombuses, and squares. Pieces and groups can be cloned, and the colors can be changed. Their dimensions allow them to tessellate easily. | Activity, Interactive Media Grade Level: K, 1, 2, 3, 4, 5 | |

This Java applet displays the multiplication of two fractions as an overlaying of rectangular areas. The left rectangle illustrates the left fraction as a horizontal fraction bar; the right rectangle shows the right fraction as a vertical fraction bar; and the middle rectangle represents their overlay. To change the numerator or denominator of the multiplicands, click a digit slightly off-center (left to decrease, right to increase). | Demonstration, Interactive Media Grade Level: 3, 4, 5 | |

This progressions document from the Common Core Standards Writing team explains how fractions are incorporated in the standards from third grade through fifth grade. Each grade level includes an explanation, important vocabulary, and illustrations. | Instructional Strategy, Reference Materials Grade Level: 3, 4, 5 |