Hands on Equations
Hands-On Equations is a program that teaches algebra by utilizing manipulatives and a balance. Students are exposed to and learn with detailed understanding how equations work and properties of mathematics. It's phenomenal!!!
Standards:
Solve two-step word problems and represent those problems using equations with a letter standing for the unknown. (3.OA.8). Click here for video demo.
Solve multistep word problems using drawing and equations with a symbol for the unknown (4.OA.2). Click here for video demo.
Apply the property of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2+x) to produce the equivalent expression 6+3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6(4x + 3y) (6EE.3)
Understand that positive and negative numbers have opposite values (6.NS.5)
Solve mathematical problems using algebraic expressions and equations (7.EE.4). Click here for video demo.
Recognize linear equations which have no solutions, one solution, and infinitely many solutions (8.EE.7)
Strategically choose process for solving equations in one variable (grade 8)
NCTM Standards - Level 1 and Level 1 middle school standards
Objectives:
Level 1 (Grade 3)
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
Level 2 & 3 (Grade 4 - Level 2; Grade 5 - Level 3)
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
Verbal Equations (Grades 3 - 5)
This unit is an additional unit that will span across all 3 years. Students are given various situations and will utilize their knowledge from Hands On Equation Level 1 lessons to complete the problems. This is the application of our learning.
Algebra: Algebra is a representation of mathematically situations using numbers, operations and variables. Along with our study of equations, we will also work on applying the ideas to various mathematical situations.
