## Common Core State Standards for Mathematics

Grade(s) 4 resources related to the following standard:
Number and Operations—Fractions
Understand decimal notation for fractions, and compare decimal fractions.
7. Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.

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This 8-page article from Teaching Children Mathematics discusses how overgeneralizing commonly accepted practices, using imprecise vocabulary, and relying on tips and tricks that do not promote conceptual mathematical understanding can lead to misunderstanding later in students’ math careers. The authors provide a table of some "expired" mathematical language and suggest more appropriate alternatives.
Instructional Strategy, Reference Materials, Article
Grade Level: K, 1, 2, 3, 4, 5, 6+
Resource is part of a PD collection
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 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 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 22 slide interactive module provides details and examples to support the progression of the CCSS Fraction Standards for grades 1-8. Throughout the module are active links to the standards, a glossary, and examples and solutions.
Reference Materials, Voice Recording
Grade Level: 1, 2, 3, 4, 5, 6+
Teachers can use this interactive tool to help students build a conceptual understanding of fractions by comparing and ordering numeric representations, or comparing fractions using symbols (>, < or =). 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
Students sort equivalent fractions, decimals, and percents in this interactive game. Each of the nine levels is more difficult than the last. A "check" button gives students three checks before the solution is revealed, and highlights incorrect groupings with each try.
Game