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# Hands-On Equations®

Powerful Whole Brain Learning

# Hands-On Equations®

Demystifying the Learning of Algebra ### Dr. Borenson's Balance Model for Solving Equations

Hands-On Equations is a supplementary program that can be used with any math curriculum to provide students with a concrete foundation for algebra. It uses the visual and kinesthetic instructional approach developed by Dr. Henry Borenson to demystify abstract algebraic concepts. This hands-on, intuitive approach enhances student self-esteem and interest in mathematics.

In just six lessons your students in grades 3 and up will learn to solve equations such as 4x + 5 = 2x + 13 and 2(2x + 3) = 3x + 9. In the seventh lesson, they learn a pictorial solution approach.

Click here to see sample problems and videos from each of the three levels of the program.

# What are the benefits of using Hands-On Equations?

• No algebraic prerequisites are required
• It is a game-like approach that fascinates students
• The gestures or "legal moves" used to solve the equations reinforce the concepts at a deep kinesthetic level
• The program can be used as early as the 3rd grade with gifted students, 4th grade with average students and 5th grade with LD students; it also serves as an excellent component of a middle-school pre-algebra program
• Students attain a high level of success with the program (see research studies section)
• The program provides students with a strong foundation for later algebraic studies
• The concepts and skills presented are essential for success in an Algebra 1 class

## Algebra concepts your student will learn in only seven lessons!

• the concept of an unknown
• how to evaluate an expression
• how to combine like terms
• the relational meaning of the equal sign (both sides have the same value)
• the meaning of an algebra equation
• how to balance algebra equations (using the subtraction property of equality)
• the concept of the check of an equation
• the ability to solve one and two-step algebra equations
• solving equations with unknowns on both sides
• how to work with a multiple of a parenthetical expression

## In Levels II and III, students learn:

• the concept of the opposite of an unknown
• how to evaluate algebraic expressions involving x and (-x).
• the additive property of inverses
• the addition property of equality
• the additive identity property
• the concept that subtracting an entity gives the same result as adding its opposite
• addition and subtraction of integers

"A strong foundation in algebra should be in place by the end of eighth grade..." Principles and Standards for School Mathematics, NCTM

## But students learn much more.

### They learn that:

• mathematics is a subject one can understand
• mathematics can be learned without memorization
• they need not be intimidated by algebraic symbols
• they can enjoy doing mathematics
• they can communicate their mathematical reasoning to others
• they can use concrete materials to model abstract equations and word problems
• they can have success in one of the most “difficult” topics of mathematics
• they have far greater learning potential then they ever realized