## 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.
1. Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

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This 75-page pdf document demonstrates the connections between the CCSS content standards and the mathematical practice standards. It is a compilation of research, standards from several states, instructional strategies, common misconceptions, and examples for each standard at the grade 4 level. It is intended to help teachers understand what each standard means in terms of what students must know and be able to do. Additional flip books are cataloged separately for grades K-3 and 5.
Instructional Strategy, Reference Materials
This web page provides links to resources aligned to the CCSS that guide and support fourth grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS) for the Noyce Foundation, Problems of the Month, (POM home page is cataloged separately) and videos of public lessons and number talks developed by the Noyce Foundation are also included. The performance tasks were originally designed to measure students' ability to solve non-routine problems and then to explain and justify their solutions. The task scoring rubric, student responses, and discussion of student understanding and misconceptions are provided to improve instruction. Resources are listed for specific grade 4 standards and are also organized by progression for an alternate search route.
Activity, Instructional Strategy, Problem Set, Reference Materials, Video
This page provides examples of 4th Grade Number (Operations and Algebraic Thinking, Number and Operations in Base Ten, and Number Operations-Fractions) activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for the 4th Grade Number Activities listed are in PDF format.
Activity, Game
This problem requires a sound understanding of the fraction relationship between part and whole and can be used for finding fractions of numbers and quantities. Students are given the fractional amount of apples in a fruit bowl and the specific number of other fruit in the bowl in order to figure out how many apples are in the bowl. The Teachers' Notes page includes suggestions for implementation, discussion questions, ideas for extension, a link to a worksheet which provides student support, and a downloadable pdf of the puzzle.
Activity
Grade Level: 2, 3, 4, 5
This webpage for math students and their teachers offers a searchable archive of questions and answers about fractions and decimals at the elementary level. Equivalent fractions, common denominators, all four operations, fraction and decimal conversions, and other topics are included.
Community
This 5-minute professional development video clip shows students engaged in the Common Core Practice Standard #6, as students explore fractions through fraction strips and a game. The learners attend to precision in terms of accurately adding fractions to one exact whole, communicating their ideas clearly, and recording results. Additional resources include a video transcript, teaching tips, and a link to a professional development reflection activity based upon the video.
Instructional Strategy, Video
Grade Level: 1, 2, 3, 4
In this interactive game, students build bridges using fractional lengths in the form of fraction bars. Gap length may be known or unknown, entirely empty or partially filled. Fractions to fill the gap must be constructed in specific ways, using the four basic operations. After five tries at one level, the game resets. Note that the game sometimes expects particular answers: students may need to multiply 2/5 by 3 rather than multiplying 3/5 by 2, for example, even though both computations would produce the same result.
Game