Powerful Whole Brain Learning

# DEVELOPING FRACTIONS SENSE® 5

This workshop focuses on the grade 5 Common Core fractions standards

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In this workshop, teachers will gain a deep conceptual understanding of the 5th grade fraction standards. All concepts are first introduced with fraction blocks, or rectangular grids, before students are presented with arithmetic procedures. The concrete understanding serves as the foundation for successful classroom instruction.

"I like the way this workshop presented the teaching of fraction multiplication by going from the concrete to the abstract.  It makes so much sense!" - Workshop Participant

Participants at this workshop will learn:

• The key to subtracting fractions with unlike denominators using the fraction blocks
• The key to illustrating addition and subtraction of fractions with unlike denominators on grid paper
• A simple, direct way to add fractions with unlike denominators symbolically
• How to clarify the distinction between a divided by b and a/b
• How to concretely illustrate the difference in meaning between 4 x 2/3 and 2/3 x 4
• How to concretely and pictorially illustrate multiplication of a fraction by a fraction
• How to use grid paper to find the area of a rectangle with fractional side lengths
• A clear way to explain why multiplication by a fraction greater than 1 scales up and less than 1 scales down
• An intuitive way to help students understand division of a unit fraction by a whole number and a whole number by a unit fraction

Class sets of materials are available for implementing the grade 5 fraction program. Each class set includes the Developing Fractions Sense Student Workbook C and a set of fraction blocks for each student, as well as the Instructional Guide and Answer Key for the teacher.

### Sample lessons may be found here.

To schedule your full-day staff development workshop on Developing Fractions Sense C for 5th grade, contact Borenson and Associates at 800-993-6284 or send an email to info@borenson.com.

See Dr. Borenson's article "Recognizing the 'Whole' in Fractions Problems" in the Spring 2014 edition of OnCore, the professional math publication of the Arizona Association of Teachers of Mathematics.

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

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