QuantumLearning Machines
Mathematics LabPathGrade 9-12
Instructional first

Place Value Regrouping Lab

How does changing units change the way a number is written?

Learnplace value, regrouping, and base-ten structure
DoCompose/decompose units and watch notation update.
WatchRegrouping changes representation while preserving total value.
Number Sense Manipulative LabReady for prediction
model fit 0%
BeforeNo claim yet. Predict before touching the model.
ActionSave prediction, then run the model.
AfterWaiting for a visible result.
Visible result

No run yet

The model will show cause and effect after you save a prediction and run it.

slope fit95%start value95%residual3transfer96%
Step 3

Explain, revise, defend.

Defend why two regrouped representations have the same value.

Misconception signal

place-value unit structure gap

Common trap: digit position is decoration

Intervention

Fraction Magnitude Explorer

Mastery gate: Represent, compare, and operate on quantities while preserving unit meaning.

Learning evidence

96/100

Ready for transfer.