## Common Core State Standards for Mathematics

Grade(s) 4 resources related to the following standard:
Number and Operations—Fractions
Extend understanding of fraction equivalence and ordering.
2. Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

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This customizable iOS app (\$) provides practice with a variety of mental math skills. Users roll or drag marbles through a maze collecting numbers that satisfy given challenges. Each of the three levels of difficulty offers a range of skills that may be selected. The game rewards accuracy and includes obstacles and bonuses that increase the motivational value.
Activity, Interactive Media, Mobile App
Grade Level: 1, 2, 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
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+
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 pair of videos (8 min and 10 min) and accompanying text illustrate various strategies for providing mental skills practice that is brief, interesting, useful, and effective. They include examples of teachers working with their students in group settings as well as narrative elaboration by Paul Goldenburg. Two related articles (Practice and Fact of the day) are cataloged separately.
Activity, Instructional Strategy, Reference Materials, Article, Video
Grade Level: 1, 2, 3, 4, 5, 6+
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