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.

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 (see video)

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