## 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.
a. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

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This webpage contains a 6-minute video that shows Cara Crist working with her third grade class to create fraction strips (wholes, halves, fourths, and eighths). The students use these fraction strips to play a game of "Cover Up" where they must cover the one whole using the other fraction pieces. Crist discusses how this can be extended to "Uncover" and "Trade Up" versions of the game. This webpage also contains a PDF link that details how to play "Cover Up" and "Uncover".
Activity, Game, Video
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
This lesson gives students practice in applying fraction concepts, interpreting positional words, and paying attention to details. In order to decode a message, students construct new words by using fractional parts of other words as specified in the clues. A correct analysis of the clues leads to a candy bar reward. The activity could be adapted to accommodate individual classes and situations.
Activity, Lesson Plans
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
The resource booklet contains pattern block activities for grades 3-5. The activities cover a range of math topics including fractions, symmetry, and angles. Each activity includes a list of standards, resources needed, and suggestions for implementation. The resource booklet includes activity sheets and vocabulary cards.
Activity, Game, Instructor Guide/Manual
Teachers can use this interactive tool to help students build a conceptual understanding of the value of fractions by placing numbers, visual models, and decimals on a number line. Students learn that every fraction and decimal describes a specific value. 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+
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