## 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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In this virtual manipulative, students are given two fractions with unlike denominators, and shapes divided into equal pieces that represent those fractions. Students find equivalent fractions with a common denominator by re-dividing those shapes. They then locate the equivalent fractions on a number line, and re-divide the number line to find fractions between the two they located. Instructions for using the applet and teaching ideas for parents/teachers are available through the links at the top of the page.
Activity
Grade Level: 3, 4, 5
Students use this virtual manipulative to visualize and name equivalent fractions. The applet presents a shape divided into equal parts, with some parts shaded. Students change the number of divisions of the shape to visualize equivalent fractions, name the fractions, and check their answers. Instructions for using the applet and teaching ideas for parents/teachers are available through the links at the top of the page.
Activity
Grade Level: 3, 4
This set of interactive activities for students introduces early fractions concepts. Students name the parts needed to divide a pizza, fill in a fraction wall with fraction bars, name a shaded fraction, arrange fractions on a number line, and subtract fractions from a whole using different denominators. The main page links to support materials for teachers: practice problems and exposition material.
Activity, Lecture/Presentation, Problem Set
Grade Level: 2, 3, 4, 5
In this interactive game students practice their knowledge of equivalent fractions. Students are given four fractions and are asked to select the one that isn't equivalent to the other three. There are four levels of difficulty, each with ten examples. Players are shown the correct answer for each missed item.
Activity, Game, Interactive Media
Grade Level: 3, 4, 5
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
This six-minute video demonstrates two methods for reducing fractions to lowest terms. The first method involves listing all the factors of the numerator and denominator and dividing them by their greatest common factor. The second method involves dividing out (canceling) the common prime factors from the prime factorizations of the terms obtained via their factor trees.
Lesson Plans, Video
Grade Level: 3, 4, 5
In this lesson students learn the meaning of fractions as parts of a whole and parts of a set. They learn key vocabulary and how to compare and order fractions. The lesson links to an interactive game, Fraction Fun (catalogued separately), which gives practice in naming fractions, and to downloadable follow-up exercises (Word and pdf).
Activity, Interactive Media, Lesson Plans
Grade Level: 3, 4, 5