## Common Core State Standards for Mathematics

Grade(s) 3 resources related to the following standard:
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.
b. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.

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This interactive game, similar to "Fraction Game" (catalogued separately) allows two students an opportunity to think about how fractions are related to a unit whole, compare fractional parts of a whole, and find equivalent fractions. Two players move markers a total distance (forwards and backwards directions) that equals the random target fraction box, along their choice of seven parallel number line tracks, which are divided into different fractional parts. The goal is to move each of the seven markers to the right side of the game board before your opponent does. Instructions and discussion questions are given.
Activity, Game, Interactive Media
Resource is part of a PD collection
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
Twenty-eight lesson plans make up this research-based fourth and fifth grade fraction curriculum. It includes a teacher guide with theoretical framework and instructions and templates for making manipulatives. The Rational Number Project is an NSF-funded multi-university research project, and originally published this series of lessons in 1997 as "Fraction Lessons for the Middle Grades Level 1". This is an updated version, aligned to NCTM Standards for 2000.
Instructor Guide/Manual, Lesson Plans
In this formative assessment lesson (PDF) students learn to represent fractions on a number line. This multi-part lesson is based upon a story problem involving six friends swimming a 1-mile race in a lake. Included in the lesson is a pre-assessment, two versions of the lesson task, an assessment, and suggested feedback based on student errors.
Assessment, Activity, Lesson Plans
This fraction game from GregTangMath.com provides users with challenges in mental reasoning about identifying, simplifying, comparing, and calculating with fractions. Players choose which skill they would like to focus on, then pick the operation or level within that skill. The game keeps track of how long it takes the player to complete the specified number of trials accurately.
Game
This iOS app can be used to drag, manipulate and animate visual mathematics to develop and generalize student understanding of fundamental concepts across elementary mathematics. For elementary purposes click on the book in the bottom right of the screen and then select the Elementary Mathematics Guide. Within the Elementary Mathematics guide there are eight activities that can be completed using this application. Each activity includes an exploration with guiding questions.
Activity, Interactive Media, Mobile App
This 88-page document addresses the meaning of the Common Core State Standards for teaching fractions in grades 3-7. For each grade level the specific standards that are addressed are listed, followed by a detailed explanation of what the standards mean, including visual models, and any misconceptions teachers or students might have about how specific standards apply to fractions in the CCSS.
Instructional Strategy, Reference Materials, Article
Grade Level: 3, 4, 5, 6+