1
5 min
Warm up
Activate the prerequisite idea before the lab.
Answer one quick prompt about multiplication.concept image
readiness signalprior knowledge
QLM LabPath
Today's path - Grade 6-8
Ratios describe relationships, not just numbers
Use a lab to see why changing one quantity changes another.
Ready0/5 activities complete
Preparing your daily path.
2
8 min
Learn the idea
Teach the concept before exploration.
A ratio is a relationship. If one side changes, the other side must change in a linked way.process animation
concept exposurevocabulary check
3
15 min
Run the V10 lab
Can you keep a ratio constant across a table, graph, and real-world context?
Try this: Enter values in the ratio tableinteractive primitiveKnowledgeGraph
predictionactionobservationexplanation
4
6 min
Explain what changed
Turn activity into evidence.
Explain proportional reasoning using one observation from the lab.diagram
explanationrevision
5
6 min
Transfer
Check whether the idea moves to a new context.
Transfer the reasoning from Ratio Table to a different math situation with new variables.state machine
transfermastery update
AI media layer
Visuals, diagrams, animations, and simulator primitives for this concept.
LabPath prepares the instructional media before the lab: one concept visual, one process animation, one evidence diagram, and a state machine that mirrors the learner's reasoning loop.
Ratios describe relationships, not just numbers concept visual
instructional first
large labelsone ideano decorative clutter
Ratios describe relationships, not just numbers misconception repair visual
teacher summary
misconception visiblecorrection visibleno blame language
Ratios describe relationships, not just numbers process animation
instructional first
step-by-stepstudent controlledpauseable
Ratios describe relationships, not just numbers learning state machine
v10 lab
current state clearnext action clearcompleted states visible
Proportional reasoning concept map6 diagram nodes4 animation frames7 evidence statesKnowledgeGraph + TeachItBack
What must be demonstrated
predictionactionobservationexplanationrevisiontransferevidence
Learner can explain proportional change with units and transfer it to a new context.
Mastery target 82%
- If mastery is below 82%, assign a repair lab for "Treating ratios as two separate numbers."
- If explanation is strong but transfer is weak, choose a far-transfer mission tomorrow.
- If both explanation and transfer are strong, unlock the next prerequisite-dependent concept.
V10 lab modes available for the full LabPath curriculum spine.
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