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Transcript
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