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? = 3 2x - 1
The equation game has one rule … … do the same action on both sides.
= 2x - 1 3 2x - 1 3
= 2x - 1 + 1 3 Why did we add one red tile to each side?
2x = 4 = 2x - 1 + 1 3 + 1 The action on both sides is… SIMPLIFY!
2x = 4 Two groups of “x” is 4. What is one group of “x”?
2x = 4 2 x = 2
= 2x - 1 3 How can you check your answer?
= 2x - 1 3 Replace each “x” with 2 “ones”. 3 = 3
x = -3 = -x 3 … what if? 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?