## 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.
a. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

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This problem allows students an opportunity to think about fraction comparisons and equivalencies in a different way using interactive rods. Students are given two different fraction rods of unknown lengths and the goal is to find out what fraction the shorter rod is of the longer rod. A Teacher's Notes page, hints, solution, and printable pages are provided.
Activity, Interactive Media
This webpage contains sample items and performance tasks from the Smarter Balanced assessment system in mathematics as well as English LA/Literacy. They are intended to help teachers, administrators, and policymakers implementing the Common Core State Standards (CCSS) prepare for next-generation assessments and plan the required shifts in instruction. Sample items and tasks can be viewed by grade band (grades 3-5, 6-8, and high school) or content focus. They showcase the variety of item types, including technology-enhanced items and performance tasks, that will be included in the assessment system. A drop-down tab provides information on each item, including grade level, CCSS alignment, and a scoring rubric for performance tasks.
Assessment, Interactive Media, Problem Set
Grade Level: 3, 4, 5, 6+
This iOS app can be used to drag, manipulate and animate visual mathematics to develop and generalize student understanding of fundamental concepts across elementary mathematics. For elementary purposes click on the book in the bottom right of the screen and then select the Elementary Mathematics Guide. Within the Elementary Mathematics guide there are eight activities that can be completed using this application. Each activity includes an exploration with guiding questions.
Activity, Interactive Media, Mobile App
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 four-page article describes four basic approaches children use in understanding fractions as equal parts of a whole. Topics covered include working with equal shares, partitioning regions and units, understanding of fraction equivalence, and ideas for teaching fractions more effectively. References are given.
Reference Materials, Article
Grade Level: 1, 2, 3, 4, 5
Resource is part of a PD collection
Thinking Blocks is an interactive Flash tool for modeling and solving math problems visually. Students represent quantities and relationships by placing blocks and braces on a work space and using the tools to resize and label them accordingly. Users can change the color of blocks, move them, copy them, divide them into equal parts, and separate them. A pencil tool and keyboard are also available. The site includes video tutorials demonstrating how to use the tool and how to model a wide variety of problem types. It also contains a bank of hundreds of word problems.
Activity, Interactive Media, Problem Set, Tools, Video
Grade Level: 1, 2, 3, 4, 5, 6+
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+