## 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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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 interactive game, similar to "Fraction Game" (catalogued separately) allows two students an opportunity to think about how fractions are related to a unit whole, compare fractional parts of a whole, and find equivalent fractions. Two players move markers a total distance (forwards and backwards directions) that equals the random target fraction box, along their choice of seven parallel number line tracks, which are divided into different fractional parts. The goal is to move each of the seven markers to the right side of the game board before your opponent does. Instructions and discussion questions are given.
Activity, Game, Interactive Media
Resource is part of a PD collection
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
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
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