Can your grade school students solve this equation?
4x + 5 = 2x + 13
No? Then maybe you should look at
is a visual and kinesthetic
teaching system for introducing algebraic concepts to
students in grades
3 to 8. Developed by Dr. Henry Borenson, this teaching system, which
received U.S. Patent #4,713,009, enables young children as early as 3rd
grade and in only seven lessons to understand and solve algebraic equations
such as 4x + 5 = 2x + 13, thereby enhancing student
self-esteem and interest in mathematics. Later lessons teach additional
What is Hands-On
Hands-On Equations is a visual and
kinesthetic teaching methodology empowering teachers to successfully
present algebraic concepts to students in grades 3 to 8.
is a program which provides students with an intuitive understanding of the
most fundamental algebraic concepts--
A system which makes algebraic linear equations accessible to
2nd grade gifted students, average students in grades 3 - 8, and LD
students in grades 5 and up
A valuable, hands-on approach to use in a traditional
A program which may be used at the high school or college
level, or in adult education, with students who have not previously
experienced success with algebraic concepts
A program which does not require any algebraic prerequisites
A system which provides students with a strong foundation for
later algebraic studies
enhances self esteem and interest in mathematics. The success and enjoyment experienced by
young students in solving what looks like sophisticated mathematics serves to
enhance student self-esteem and interest in mathematics. Gifted students in
grade 2 to 5 quickly move through the program and begin to abstract the
concepts. Average students in grades 3 to 8 will have a significant
learning advantage for later algebraic work upon completing even the first
seven lessons of the program. Students with learning disabilities in grades
4 to 12, who often learn best in a visual or kinesthetic mode, can
gain access to algebraic concepts, possibly for the first time.
A Sample Problem Using Hands-On Equations®
Let's consider the equation 4x + 5 = 2x +
13. The student first represents this equation on the flat
laminated balance scale using the game pieces. The blue pawns
represent the x's, and the numbered cubes represent the constant.
The student is then ready to perform the legal moves in order to
simplify and solve the equation. The procedure is illustrated below:
From this we see that x = 4.
The check, in the original physical setup, reveals that 21=21.
Equations consists of verbal mathematical problems too.
These verbal problems are appropriate for average students in grades 4-8 and
typical problems consist of:
Sally is 4 years older than Tim. Together, the sum
of their ages is 20. How old is each?
Four times a number, increased by 7, is the same as
three times the same number, increased by 9. Find the number.
Brian buys 1 pack of baseball cards to add to the 2
cards a friend gave him. Then his mother gives him 2 more packs as a
special treat. Now he has as many cards as Marcus who owns 1 pack plus
12 loose cards. How many cards are in each pack?
Home Packet special for homeschoolers
Home Packet [DVD-2000]
Hands-On Equations was awarded U.S. Patent 4,713,009.
Order online at
What a joy, to see your student excel in algebraic equations and word
problems before she/he even graduates from elementary school!
How wonderful for your student not to experience math anxiety or be
limited by it.
an excellent addition to your homeschool program!