Prior Knowledge: So far your students have learned how to write equations, translate sentences into equations and equations into sentences, solve one-step equations using addition and subtraction, solve simple equations using multiplication or division and solve multi-step equations. Now they will learn to solve equations with variables on both sides of the equation.
Common Core State Standards
A.REI.1: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
A.REI.3: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
1 Make sense of problems and persevere in solving them.
5 Use appropriate tools strategically.
- I can apply order of operations and inverse operations to solve equations
- I can construct an argument to justify my solution process
What is the difference in solving a regular equation and an equation with variables on both sides?
Vocabulary: inverse operation, isolate, variable, constant, reciprocal, coefficient