STEM EVIDENCE WORKBENCH
Test paired quantities for one constant ratio through the origin and compare learner proportional or non-proportional claims with exact evidence.
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 nonzero evidence, the pairs (x1,y1) and (x2,y2) share a constant ratio when y1 times x2 equals y2 times x1. Any entered point with x equal to zero must also have y equal to zero for y = kx. Two rows with only zero x values are insufficient to define a nonzero constant. Claim supported means the entered yes-or-no judgment agrees with cross-products and the origin rule. A ratio conflict identifies the arithmetic evidence; a nonzero-intercept flag identifies a structural conflict. Follow the report by asking learners to state k, represent the points on a graph, and explain what one unit means in context.
Confirm the prompt, source values, units, signs, notation, precision, and model required by the current course. Keep an untouched copy of observations or responses before changing a row.
Run the worked example first, inspect every intermediate row, and compare the table with a hand calculation, diagram, graph, periodic table, or approved laboratory method.
Record the method, assumptions, units, rounding, limits, and any row that needs review. Use the exported report as editable evidence and verify it independently before assessment or laboratory use.
How to interpret the result
Use after learners compare tables, graphs, or contexts and need to distinguish y = kx from a relationship with an additive offset. The diagnostic checks the supplied pair evidence and origin compatibility. It does not prove a complete data set follows the model, fit noisy measurements, determine causation, or infer why a learner selected an answer.
The recipe and constant-speed rows share matching y divided by x values. A taxi row has different ratios and conflicts with a yes claim. The zero-origin row supports proportionality because zero maps to zero and the nonzero pair defines a ratio. The offset row maps zero to four and is correctly labeled non-proportional.
For nonzero evidence, the pairs (x1,y1) and (x2,y2) share a constant ratio when y1 times x2 equals y2 times x1. Any entered point with x equal to zero must also have y equal to zero for y = kx. Two rows with only zero x values are insufficient to define a nonzero constant.
Claim supported means the entered yes-or-no judgment agrees with cross-products and the origin rule. A ratio conflict identifies the arithmetic evidence; a nonzero-intercept flag identifies a structural conflict. Follow the report by asking learners to state k, represent the points on a graph, and explain what one unit means in context.
Do not identify proportionality from a straight-looking segment alone, equal additive changes, one matching point, or a table that never checks the origin. Keep x and y order consistent, avoid rounded ratios when cross-products are available, include units, and do not convert an evidence flag into a judgment about learner ability.
Learning boundary
This browser-local workbench applies only the disclosed rules to entered values. It cannot diagnose learning, certify an experiment, establish a chemical fact, reconstruct missing evidence, or replace the method and judgment required by a teacher, curriculum, laboratory, or institution.
Review checklist
Practical questions
No. Processing occurs in the current browser tab. Avoid names and other personal information, and retain authoritative records only in the system approved by the school.
No. A matched pattern describes the entered evidence under one disclosed rule. Ask for an explanation and review several evidence sources before deciding the next step.
Treat it as an editable calculation aid. Show your own reasoning, use the method requested by the course, cite required sources, and follow the applicable academic-integrity rules.
YOUR NIRMION
