What did Kelly do to remove the 3 unit tiles from the left side of the equation? Does this move affect the equality? If Kelly were solving the equation , what might her first step be? What would she have after that step? You may want to build this equation on an Equation Mat to help make sense of her strategy. Now practice this new solving skill by building each of the equations below with , solving for and checking your solution for each equation. Record your work. x, Investigation 8: Solving Equations and Recording Work In this lesson, you will continue to improve your skills of simplifying and solving more complex equations. You will develop ways to record your solving strategies so that another student can understand your steps without seeing your Equation Mat. Consider these questions as you work today: How can I record the I use to solve? How can I record what is on the Equation Mat after each step? Gene and Aidan were using algebra tiles to solve equations. Aidan was called away. Help Gene finish by completing the table shown below and on the . Aidan was frustrated that he needed to write so much when solving an equation. He decided to come up with a shortcut for recording his work to solve a new equation. As you look at Aidan’s recording at right of how he solved below, visualize an Equation Mat with algebra tiles. Then answer the questions for each step below. What legal move does writing twice represent? –4 What legal move does circling the +4 and the represent? –4 What does the box around the represent? Why did divide both sides by 2? Check Aidan’s solution in the original equation. Is his solution correct?
What did Kelly do to remove the 3 unit tiles from the left side of the equation? Does this move affect the equality? If Kelly were solving the equation , what might her first step be? What would she have after that step? You may want to build this equation on an Equation Mat to help make sense of her strategy. Now practice this new solving skill by building each of the equations below with , solving for x, and checking your solution for each equation. Record your work. Investigation 8: Solving Equations and Recording Work In this lesson, you will continue to improve your skills of simplifying and solving more complex equations. You will develop ways to record your solving strategies so that another student can understand your steps without seeing your Equation Mat. Consider these questions as you work today: How can I record the I use to solve? How can I record what is on the Equation Mat after each step? Gene and Aidan were using algebra tiles to solve equations. Aidan was called away. Help Gene finish by completing the table shown below and on the . Aidan was frustrated that he needed to write so much when solving an equation. He decided to come up with a shortcut for recording his work to solve a new equation. As you look at Aidan’s recording at right of how he solved below, visualize an Equation Mat with algebra tiles. Then answer the questions for each step below. What legal move does writing –4 twice represent? What legal move does circling the +4 and the –4 represent? What does the box around the represent? Why did divide both sides by 2? Check Aidan’s solution in the original equation. Is his solution correct?