I can describe moves that change one equation into an equivalent equation.

I can add or remove blocks from a hanger and keep the hanger balanced.

I can represent balanced hangers with equations.

I can add, subtract, multiply, or divide each side of an equation by the same expression to get a new equation with the same solution.

I can make sense of multiple ways to solve an equation.

I can determine whether an equation has no solutions, one solution, or infinitely many solutions.

I can solve equations with different numbers of solutions.

I can use an expression to find when two things, like height, are the same in a real-world situation.