STEM REASONING AND EVIDENCE WORKBENCH
Normalize paired quantities to one-unit strips and audit constant unit-rate evidence across grouped contexts.
Review output
Load the worked example to inspect realistic inputs, or enter anonymous classroom or laboratory evidence. Results remain in this browser tab until you copy or download them.
Transparent method
For every row with nonzero x, unit rate k equals y divided by x. Rows under one exact context are treated as one model. Their rates must remain within one percent of the first rate, and each learner claim must agree with its row, before the context is marked proportional. A supported context has a stable multiplicative comparison for the entered pairs. The one-unit strips show what one x-unit maps to in y-units. Additional evidence should include an origin point, a straight graph through the origin, compatible units, and contextual reasoning; two matching ratios alone may be accidental.
Confirm the question, approved source, units, notation, signs, response coding, model assumptions, and review threshold. Keep an unchanged copy of measurements or learner evidence.
Run the worked example, inspect every intermediate row, and compare the result with a hand calculation, diagram, representation, periodic table, or approved laboratory method.
Record the method, assumptions, uncertainty, units, classifications, and flagged rows. Verify the editable report independently before instruction, assessment, or laboratory use.
How to interpret the result
Use to connect a ratio table with the equation y equals kx and a one-unit visual strip. It can expose an additive pattern or inconsistent unit rate. It does not fit a nonzero intercept, choose causal variables, infer missing units, handle a zero denominator row, account for measurement uncertainty automatically, or prove the context is proportional.
Recipe pairs 2 to 6 and 4 to 12 both normalize to three. Scale drawing pairs normalize to four. Taxi values 2 to 7 and 4 to 13 normalize to 3.5 and 3.25, so an unchanged learner constant of 3.5 does not describe both rows and the group is flagged.
For every row with nonzero x, unit rate k equals y divided by x. Rows under one exact context are treated as one model. Their rates must remain within one percent of the first rate, and each learner claim must agree with its row, before the context is marked proportional.
A supported context has a stable multiplicative comparison for the entered pairs. The one-unit strips show what one x-unit maps to in y-units. Additional evidence should include an origin point, a straight graph through the origin, compatible units, and contextual reasoning; two matching ratios alone may be accidental.
Do not use y minus x as the constant, accept a nonzero fixed fee as proportional, compare unlike units, divide in alternating directions, ignore signs, or round different rates until they look equal. State y per x, preserve precision, test another pair, and connect table, graph, equation, and context.
Learning boundary
This browser-local workbench applies only the disclosed rules. It cannot diagnose a learner, certify an experiment, establish a chemical structure, or replace teacher, laboratory, and safety judgment.
Review checklist
Practical questions
No. Processing occurs in the current browser tab. Avoid personal information and retain authoritative records only in the school-approved system.
No. It describes entered evidence under one disclosed rule. Compare several evidence sources and ask for reasoning before drawing a conclusion.
Treat it as an editable calculation aid. Show your own reasoning, cite required sources, and follow the course method and academic-integrity rules.
YOUR NIRMION
