What quantity did you change?
Labs / Mathematics
Equation Balance
Each pan holds x-tiles and unit blocks that stand for the two sides of a linear equation. Drag an operation onto the balance to apply it to both sides at once — whatever you do to one pan you must do to the other — and keep simplifying until a single x sits alone and the beam settles level.
Labs / Mathematics / Equation Balance
Equation Balance
Each pan holds x-tiles and unit blocks that stand for the two sides of a linear equation. Drag an operation onto the balance to apply it to both sides at once — whatever you do to one pan you must do to the other — and keep simplifying until a single x sits alone and the beam settles level.
Why it matters
Why explore this?
Mathematics helps us describe patterns precisely and predict what comes next. This model turns an abstract relationship into something you can change and observe.
Explore
Try the model
eq 2x + 3 = x + 7hint Tips right — subtract the x from both sides.solved not yet
Investigate
Questions to test
Predict first, try it in the model, then use what you observe to answer.
What to try
- Why does the same operation always have to land on both pans — what happens to the equation if it didn't?
- When x sits on both sides, which move gets rid of it — and which pan does the beam lean toward first?
- Does the order of your moves matter? Can you clear the numbers before the x's and still land on the same answer?
- Some cards, like "+ 1", are legal but don't help. How can you tell a useful move from a busy one?
- Crank the difficulty to Hard. What extra step does a coefficient bigger than one force you to take at the end?
Explain
Make sense of what happened
State the pattern in words, test it with another example, and then connect it to the mathematical rule or representation shown in the model.
Check
Before you leave
What pattern did you observe?
Does the pattern work for another example?
If you can answer all three using evidence from the model, you understand the main idea. If not, return to Explore and change one setting at a time.