DEVELOPING FRACTIONS SENSE® 3 & 4

This workshop focuses on the grade 3 and 4 fractions standards

The current focus of mathematics education in the United States requires teachers to look at fractions from a new perspective. It is no longer sufficient for teachers to know the rules for performing the operations with fractions. Rather, teachers are expected to develop a deep conceptual understanding of fractions, using concrete and visual fraction models, and to convey this understanding to their students.

"This workshop is absolutely essential for any elementary teacher who teaches 3rd - 6th grade math. It provides foundational concepts to truly understand fractions." -Workshop Participant   

Sample Problems

  • On a number line, locate the numbers 3/4, 7/4, 3/1 and 5/5.
  • Use the fraction blocks to find the missing number: 5/2 = ?/6.
  • Use a benchmark fraction to determine which is greater: 2/5 or 4/7.
  • Use a 3 by 4 rectangular grid to determine which is greater: 3/4 or 2/3.
  • Decompose 1 2/3 into a sum of fractions in two different ways.
  • If 2/3 of a cup of flour is needed to bake one cake, how much flour is needed to bake 4 cakes?
  • A rectangle is 6 feet long and has a perimeter of 20 1/3 feet. What is its length?     

Participants at this workshop will learn:

  • The importance of concretely and pictorially introducing all concepts related to fractions
  • Why working with unit fractions is the key to all work with fractions
  • How working with fraction blocks (e.g., pattern blocks) dramatically simplifies the teaching of fractions
  • The importance of specifying what is the whole in any given fractions problem
  • How the concepts of "partitioning" and "copies" helps in understanding fractions
  • Strategies for locating line segments and points on a number line
  • An easy way to help students avoid adding the denominators when adding fractions
  • Fluently adding and subtracting fractions with the same denominator
  • A clear way to explain, illustrate and generate equivalent fractions symbolically
  • How to use benchmark fractions to compare fractions
  • A simple way to understand multiplication of a fraction by a whole number

          Locating 5/5 on a number line partitioned into fourths.             

      Solving an equivalence problem using fraction blocks     

Class sets of materials are available for implementing the grade 3 and 4 fractions standards. Each class set includes a copy of the Developing Fractions Sense Student Workbook A or B, and a set of fraction blocks for each student, as well as the Instructional Guide and Answer Key for the teacher.  

Developing Fractions Sense B Class Set (4th Grade)

To bring this training to your district: Please complete a quick form or call 800-993-6284. Please specify two or three dates that will work for you.

Click here for information on the Developing Fractions Sense 5 workshop.

See the article by Dr. Borenson, "Better Teaching: Fractions and the Common Core" in Seen Magazine online.

"Developing Fractions Sense" is a registered trademark of Borenson and Associates, Inc.

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