## Common Core State Standards for Mathematics

Grade(s) 4 resources related to the following standard:
Number and Operations—Fractions
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
3. Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.

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In this lesson plan from Illuminations, students use relationship rods to explore fraction relationships. Relationship rods range in length from one to ten centimeters, and each rod is a different color. An activity sheet with solutions, questions for students, assessment options, and suggested extension activities are included. The lesson plan is part of a five lesson plan unit, Fun with Fractions, which is cataloged separately.
Activity, Lesson Plans
Grade Level: 3, 4, 5, 6+
Resource is part of a PD collection
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
This webpage contains customizable resources that promote evidence-based practices, such as Universal Design for Learning (UDL), and that make use of technology to support the Common Core State Standards (CCSS) for all learners. Resources include Math Instructional Strategy Guides that address effective practices as well as sample lessons and articles that provide strategies for implementing formative assessment, UDL, and technology.
Instructional Strategy, Lesson Plans
Grade Level: K, 1, 2, 3, 4, 5, 6+
This progressions document from the Common Core Standards Writing team explains how fractions are incorporated in the standards from third grade through fifth grade. Each grade level includes an explanation, important vocabulary, and illustrations.
Instructional Strategy, Reference Materials
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 activity gives students an opportunity to use and develop their visualizing skills in conjunction with the knowledge of fractions. Students are given one large rectangle that is divided into ten smaller quadrilaterals and triangles in which they have to find what fractional part is represented by each of the ten numbered shapes. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for extension and support.
Activity
This interactive applet helps develop the concept of fractions as equal parts of a whole unit. Students estimate common unit fractions of a "ribbon" length and duplicate them to check accuracy. Then they extend this technique to explore the relationship of unit fractions with non-unit fractions and mixed numbers, to find the whole from a given fractional portion, and finally to use shorter ribbon pieces to measure longer ones. The Control Room allows teachers to customize several parameters.
Activity, Interactive Media