STEM AND ASSESSMENT EVIDENCE WORKBENCH
Compare mass-length-time exponent vectors with a declared target and keep numerical magnitude separate from dimensional validity.
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
Represent each term by the ordered exponent vector [M, L, T]. Multiplication adds corresponding exponents, division subtracts denominator exponents, and a power multiplies every exponent by that power. A term is dimensionally consistent with the target only when all three exponents match exactly. The entered numerical magnitude does not affect that comparison. A supported claim means the learner yes-or-no decision agrees with the entered exponent vectors. A dimension conflict identifies which physical dimension must be rederived. Dimensional agreement remains a necessary check rather than proof: two incorrect expressions can share dimensions, and a missing dimensionless constant, sign, vector direction, or boundary condition can still change the model.
Confirm the prompt, approved source, units, symbols, notation, expected model, and review threshold. Keep an unchanged copy of observations or learner responses before editing any row.
Run the worked example, inspect intermediate rows, and compare the evidence with a hand calculation, diagram, physical model, periodic table, or moderated assessment source.
Record the method, assumptions, units, classifications, rounding, and flagged rows. Treat the downloaded report as editable evidence and verify it independently before instruction or assessment.
How to interpret the result
Use when interpreting candidate terms in a physical equation, comparing derived quantities, or checking a learner dimensional-consistency judgment. This version focuses on mass, length, and time. It does not convert measurement units, evaluate coefficients, prove an equation correct, include temperature or electrical dimensions, determine vector direction, or replace a derivation from definitions.
The example declares force as M to the first, L to the first, and T to the negative second. Mass times acceleration, a spring term, and energy divided by distance match that target. Mass times velocity has T to the negative first and does not. Two learner claims are correct and two are intentionally contradicted by the exponent evidence.
Represent each term by the ordered exponent vector [M, L, T]. Multiplication adds corresponding exponents, division subtracts denominator exponents, and a power multiplies every exponent by that power. A term is dimensionally consistent with the target only when all three exponents match exactly. The entered numerical magnitude does not affect that comparison.
A supported claim means the learner yes-or-no decision agrees with the entered exponent vectors. A dimension conflict identifies which physical dimension must be rederived. Dimensional agreement remains a necessary check rather than proof: two incorrect expressions can share dimensions, and a missing dimensionless constant, sign, vector direction, or boundary condition can still change the model.
Do not compare unit abbreviations without reducing them, add unlike dimensions because their numbers match, forget that acceleration contains time squared, treat angles as length, or use dimensional agreement to choose a numeric coefficient. Keep base-unit conversions, significant figures, vector components, and the actual governing model as separate checks.
Learning boundary
This browser-local workbench applies only the disclosed model to entered values. It cannot diagnose a learner, certify an experiment, establish a chemical fact, classify a task automatically, or replace teacher and laboratory judgment.
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. It reports how the entered evidence behaves under one disclosed rule. Ask for reasoning and compare several evidence sources before reaching an educational conclusion.
Treat it as an editable calculation aid. Show your own reasoning, cite required sources, use the course method, and follow the applicable academic-integrity rules.
YOUR NIRMION
