Hands-On Equations FRACTIONS

(For teachers of grades 5 and up)

**A concrete introduction to fractional linear equations**

This workshop shows teachers a concrete approach to introducing fractional linear equations. The workshop is appropriate for teachers of the gifted (2-5), middle school math teachers, and teachers of high school students struggling with algebra. Prior experience with the regular Hands-On Equations program is helpful, but not essential.

**We use the coaching model in our workshops**

As in all of the Borenson Math workshops, we use the coaching model in which workshop participants work at their seats and present at the front of the room in order to internalize the concepts presented at the workshop.

**Basic concrete solution strategies**

Workshop participants learn how to concretely represent fractional linear equations on their laminated balance scale. As with the regular Hands-On Equations program, they then use "legal moces" to simplify and solve the equations. The check is conducted in the "original physical setup."

**Solving fractional equations abstractly**

Strategies are presented to enable workshop participants to transfer their concrete learning experience to abstract solution methods.

**A half-day workshop**

This 3-hour workshop takes the teachers through Level I and Level II of the Hands-On Equations Fractions program, comprising 12 lessons in total. We can provide two half-day workshops on the same day, with a 1-hour break between them. Each workshop may have up to 30 participants.

**Option 1: Workshop only
**

The district provides the basic workshop in which participants learn the concrete strategies that may be used to solve fractional equations. Each participant receives a HOE Fractions Student Kit.

**Hands-On Equations Fractions Student Kit**

**Option 2: Workshop & Learning System
**

The district provides The Hands-On Equations Fractions Learning System for each participant, at the reduced price of $23. This enables each participant to provide the full program to one student at a time.

**The Hands-On Equations Fractions Learning System**

**Option 3: Workshop & Class sets of materials**

The district provides a class set of Hands-On Equations Fractions for each particpant, thereby enabling immediate classroom implementation. Depending on the number of class sets purchased, the workshop honorarium fee may be reduced or canceled.

**Class set of Hands-On Equations Fractions**

Please send your inquiry to info@borenson.com or call 800-993-6284. We would appreciate your providing two or three available dates on which we may provide the training, so that we can check on instructor availablity.