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MATHEMATICS OBJECTIVE
Students will be able to:
Solve equations with like terms on both sides of the equation.
Make sense of scenarios and represent them with equations.
ESSENTIAL UNDERSTANDING
To solve a linear equation that has variable terms on both sides of the
equation, first use inverse operations to move all variable terms to one side of the equation and constant terms to the other. Then, combine like terms and use inverse operations to isolate the variable.
I can write and solve equations with variables on both sides.
SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES
When two expressions represent equal quantities, they can be set equal to
each other. Then you can use inverse operations and properties of equality
to combine like terms and solve for the unknown.
BAR MODEL
Two equal-length bars compare 3x + 15 and 4x + 12.
WORKED EXAMPLE
3x + 15 = 4x + 12
3x - 3x + 15 = 4x - 3x + 12
15 = x + 12
15 - 12 = x + 12 - 12
3 = x
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