**This full-day workshop focuses on the grades 3 and 4 Common Core fractions standards**

**This workshop provides teachers with a deep conceptual understanding of fractions, using concrete and visual fraction models, which they can then convey 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:** If you are planning on implementing Developing Fractions Sense with your teachers and students, we recommend a full-day workshop for each of grades 3 and 4. The full-day workshop provides the participants with more time to reflect upon the strategies presented. In addition, participants have the opportunity to become very familiar with the student workbook. To schedule a workshop please send an email to info@borenson.com 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.