Number and Operations—Fractions

Develop understanding of fractions as numbers.

3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

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In this five lesson unit with overview from Illuminations, student activities explore relationships among fractions through work with the length model. Students construct fraction strips and use fraction bars throughout the unit to make sense of basic fraction concepts, to compare fractions and order fractions and to work with equivalency in fractions. Specific learning objectives, a material list, an instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given for each lesson. | Lesson Plans Grade Level: 3, 4, 5 | |

This unit from Illuminations consists of five lessons designed to help students understand fractions when they are represented as a part of a region. Learners investigate relationships between parts and wholes, the relative value of the fraction based on the pattern block shape and equivalency while working with physical and/or virtual pattern blocks. Instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given for each lesson. | Activity, Interactive Media, Lesson Plans Grade Level: 3, 4, 5 | |

In this Mixing in Math activity, students must collect data through a survey to find out what the group has in common. The activity includes collecting data, creating fractions based on the data, and then making predictions and drawing conclusions based on the data. | Activity, Lesson Plans Grade Level: 3, 4, 5 | |

This interactive applet helps students develop fraction sense by comparing and ordering fractions and identifying equivalent fractions. In each of 8 progressive rounds students arrange 10 socks, each with a fraction displayed, onto a 0 - 1 number line by estimating their relative locations. The applet adjusts the position of each sock to be accurate; however, if the new sock has to pass a previously placed sock, the level ends and the player must start over. | Activity, Interactive Media Grade Level: 3, 4, 5, 6+ | |

In this lesson plan, students investigate ways to share different sized items between two people. Students are asked to find equivalent fractions on a number line and to order those fractions by size. Included are a video clip called Equal Amounts of Gold, two worksheets, and two assessments as well as an answer key. | Activity, Lesson Plans, Video Grade Level: 3, 4, 5, 6+ | |

This is a sample PARCC assessment task based on CCSS grade 3 fraction standards. In this interactive five-part task students reason about fractions used to represent part of a whole or a location on a number line. Included are the alignments to the CCSS, a scoring rubric, and background on the task itself. | Assessment, Problem Set, Reference Materials Grade Level: 3 | |

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 | |

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 Flash applet develops a student's fractional understanding and provides practice with comparing and ordering fractions. The learner is given five fractions in "frames" and must place them on the wall hooks in order from least to greatest. If help is needed, a student can enter the Testing Room and manipulate a pair of pipes to see and/or compare the two fractions side by side. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This interactive game gives students practice in ordering sets of whole numbers, integers, fractions, decimals, and the sizes of circles. Students re-order a group of numbers or objects in a line from least to greatest by dragging them. The activity is timed and points are awarded. | Activity, Interactive Media Grade Level: K, 1, 2, 3, 4, 5, 6+ |