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Equation Balance Lab

Do the same to both sides

Remove the same amount from both pans and watch x stay balanced.

What this game shows · Equation as Balance

An equation is a balance scale in disguise. Whatever you do to one pan must happen to the other — drop equal weights from both sides and the unknown stays balanced. This lab makes that physical: the scale tips when an action is unfair and rights itself when it is fair.

=
a balance, not a "compute now" arrow.
Balance move
an operation applied identically to both sides preserves equality.
Inverse
the operation that undoes another — subtraction undoes addition.

Aligned with CCSS 6.EE.B.7 (solve real-world problems with equations of the form x + p = q and px = q).

Equation balance

Remove the same amount from both sides and the balance stays true.

x = 12
x + 7left pan
19right pan
Constant
7
Right side
19
Remove both
0
FAQ

Equation balance, on a scale.

01 Why must I do the same thing to both sides? Same both sides

Otherwise the balance breaks. Removing 7 from one pan only is not "fair" — both pans must drop 7 to keep the equation true.

02 How do you isolate x? Inverse op

Apply the inverse of whatever is acting on x. To undo "+ 7," subtract 7. To undo "× 3," divide by 3 — on both sides.

03 What does = really mean? Same value

Two expressions name the same value. It is a relationship, not a command to compute. The balance metaphor catches that perfectly.

04 Which grade is this game for? Grade 6

Grade 6, aligned with CCSS 6.EE.B.7. Direct ramp to two-step equations and inequalities in Grades 7–8.

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