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In this lesson, students consolidate their equation solving skills. In the first activity, they use partially solved equations to identify solutions. In the second activity, students match equations to their solutions found algebraically. Students then study groups of solved equations and generalize about a solution method by noticing regularity through repeated reasoning (MP8).
In the last activity, students solve a variety of equations that look different but still share the same two basic structures: or . Students may choose any strategy to solve the equations, including drawing diagrams to reason about unknown quantities, looking at the structure of the equation, or doing the same thing to each side of the equation. Students choose strategies for specific problems. This will help students develop flexibility and fluency in writing and solving equations.
Let's solve equations by doing the same to each side.
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