## 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.
d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

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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
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
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
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
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