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Today’s Learning Goals: • I can tell when it is useful and can use concrete models or diagrams to solve an equation • I can recognize that solving an equation means determining an equivalent equation where the solution is more obvious The Equation Game Why is an equation like a balance scale? 2x - 1 = 3 The equation game has one rule … … do the same action on both sides. = 2x - 1 2x -1 3 3 2x - 1 + 1 = 3 +1 Why did we add one red tile to each side? 2x - 1 + 2x 1 = 4 3 +The 1 action on both sides is… SIMPLIFY! 2x = 4 Two groups of “x” is 4. What is one group of “x”? 2x = 4 2 2 x=2 2x - 1 = 3 How can you check your answer? 2x - 1 = 3=3 3 Replace each “x” with 2 “ones”. … what if? -x = 3 x = -3 If two sides of an equation are equal then the opposites of the two sides are equal. -x = 3 x = -3 When you “flip” both sides how are you following the one rule of the Equation Game? Play the Equation Game with a partner Solve each equation. Check your solution. 1. 2. 3. 4. 5. 6. 3x - 2 = 4 4x + 1 = -7 -4 = 2 + 2a 3 - b = -2 -4x + 1 = -3 2t = 9