Using Algebra Balance Scales to teach Algebraic Equations

Standard: 
CCSS.MATH.CONTENT.6.EE.B.7
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
Overview: 
Using Algebra Balance Scales, students can experiment plugging in different values for a variable to balance an algebraic equation. Students are practicing using Substitution in their algebraic thinking. After balancing their scales students are able to make connections to Order of Operations or GEMS and how it is used to solve Algebraic Equation.

Classroom activity:
Students will begin lesson by being presented with an algebraic equation with a variable on either side of the equal sign. Students will be asked to use tape diagrams, or draw the balance model to help determine the quantity of the variable. Once students have finished their concrete representation class will participate in a discussion analyzing why a balance model works for solving these type of algebraic expressions.

Students will then be introduced to the Algebra Balance Scales on the National Library of Online Maniuplatives. Time will be allowed for students to play with the technology and balance in different ways.

Students will then begin to solve the different equations being presented by the program and the board to solve the equations.

For students that are needing an extra challenge an Algebra Balance Scale with negative numbers are an option for students, Negatives .

Once students have the opportunity to balance equations they can create problems. Students will then take part in a conversation about the role of Substitution and GEMS in solving algebraic equations with multiple variables.

Resources: Algebra Balance Scales from National Library of Virtual Manipulatives
Negative Algebra Balance Scales  from National Library of Virtual Manipulatives