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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
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The Equation Game
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Why is an equation like a balance scale?
= 3 2x - 1
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The equation game has one rule …
… do the same action on both sides.
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= 2x - 1 3 2x - 1 3
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= 2x - 1 + 1 3 Why did we add one red tile to each side?
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2x = 4 = 2x - 1 + 1 3 + 1 The action on both sides is… SIMPLIFY!
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2x = 4 Two groups of “x” is 4. What is one group of “x”?
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2x = 4 2 x = 2
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= 2x - 1 3 How can you check your answer?
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= 2x - 1 3 Replace each “x” with 2 “ones”. 3 = 3
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x = -3 = -x 3 … what if? If two sides of an equation are equal
then the opposites of the two sides are equal.
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= -x 3 x = -3 When you “flip” both sides how are you following the one rule of the Equation Game?
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