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Hands-On Equations is a manipulatives-based instructional system that can be used with any math curriculum to provide students in grades 3 and up with a concrete introduction to algebraic linear equations. It uses the visual and hands-on instructional approach developed by Dr. Henry Borenson to simplify the learning of abstract algebraic concepts. This hands-on, intuitive approach enhances student self-esteem and interest in mathematics while providing a solid foundation for later algebraic studies. In Level I, students use the red cubes and blue pawns to set up and solve equations such as: 4x + 3 = 3x + 9 and 2(2x + 1) = 3x + 10. In Level II, students use the red cubes, blue pawns, and white pawns to set up and solve equations such as: 2x + (-x) + 3 = 2(-x) + 12 and 2x - (-x) = 15. In Level III, students use the red cubes, blue pawns, white pawns, and green cubes to set up and solve equations such as: 2x + 3 = - 6 + x and x - 2(x + 2) = 5. Once students represent the equation on their laminated balance scale, they then use "legal moves" to simplify and solve the equation. Without even realizing it, students learn sophisticated algebraic concepts, such as the relational meaning of equality, the distributive property of multiplication over addition, the subtraction and addition properties of equality, the additive property of zero and the property of additive inverses. The program is straightforward to use and well-illustrated. It does not require any algebraic prerequisites from the student, teacher, or parent. However, it would be helpful if the students can do simple calculations such as 8 + 7 or 7 + 7 + 7. Knowledge of multiplication or division is not required but is helpful. Since 1990, more than 50,000 teachers and one million students have used Hands-On Equations in the United States.
Simplifies the teaching of algebra concepts for students in Grades 3 and up
Presents an INTUITIVE visual, kinesthetic, and game-like approach to solving equations
Dr. Henry Borenson was awarded a patent for this teaching system. In three lessons students solve 4x + 3 = 3x + 9 and in six lessons they solve 2(2x + 1) = 3x + 12.
Conceptual learning enables students to experience success, enhances their interest in mathematics, and is a foundation for later algebra work.
Since 1986, these algebra manipulatives have helped more than a million students learn how to solve equations.