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 addresses the grade 5 Common Core Standards related to fractions.
"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
Visualizing multiplication of fractions
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
Finding the area of a rectangle whose sides are 3/4 and 2/5
Each participant will receive one set of fractions plastic blocks and a handout. Class sets of plastic fraction pattern blocks are available for implementing the strategies presented at the workshop.
Contact Borenson and Associates at 8009936284 or submit a request to schedule your onsite fractions workshop.
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.