## 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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These videos focus on specific standards and include examples/illustrations geared to clarify the meaning of the individual standard rather than to be a guide on how to teach it. There is an introductory video for the collection; the videos are organized by grade level and can be downloaded as well as viewed online.
Instructional Strategy, Reference Materials, Video
Grade Level: K, 1, 2, 3, 4, 5
This lesson activity from NCTM's Mathematics Teaching in the Middle School presents a fraction activity in which comparing fractions is explored through the use of sharing chocolate bars. In the lesson students present their reasoning, keep a table, and discover patterns. The PDF lesson/article contains many variations for challenge and extension.
Activity, Reference Materials, Article
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+
This collection of 21 videos (2 - 12 min each) details the 3-part lesson structure used in Ontario math classrooms. Lessons involve open-ended problems and teaching practices that build self-efficacy, independence, collaboration, and communication. The videos follow a team of teachers and support staff as they plan and co-teach a lesson on fractions based on the 3-part structure: activation of prior knowledge, work on the problem, and consolidation and practice. The series includes clips offering related perspectives from Lucy West, Deborah Ball, Marian Small, and Steven Katz. Videos may be streamed or downloaded (.mov or .wmv). A downloadable (pdf) Viewer's Guide summarizes and elaborates on the videos and provides reflection questions.
Instructional Strategy, Lesson Plans, Video
This game offers students a chance to practice grouping fractions with the same number value, as well as visual representations of those fractions (using both circles and bars). A "check" button gives students three checks before the solution is revealed, and highlights incorrect groupings with each try. The site includes a version of the game enhanced for interactive whiteboards (IWBs).
Game
Grade Level: 3, 4, 5, 6+