Applied Mathematical Evidence

Algebra I Labs

Six complete investigations connect equations, functions, data, modelling, finance, optimization, and decision-making to observable evidence.

Lab evidence standard: each lab preserves learner work locally and uses a 0–4 evaluator rubric. A complete review of at least 80% records lab mastery. Lab mastery is supplemental evidence and does not silently bypass or replace lesson, weekly, unit, Midterm, Final, or capstone gates.

Lab 01 · Unit 06

Linear Model Lab

Use paired data, build and test a linear model, interpret slope/intercept, inspect residuals, and defend limitations.

Open Lab

Lab 02 · Unit 07

Systems & Constraints Lab

Translate simultaneous resource limits, identify the feasible region, compare candidate solutions, and justify a decision.

Open Lab

Lab 03 · Unit 08

Exponential Change Lab

Compare additive and percent change, measure divergence, test a threshold, and analyze sensitivity to the growth rate.

Open Lab

Lab 04 · Unit 10

Quadratic Design Lab

Derive a constrained-area quadratic, interpret its forms and physical domain, verify the maximum, and defend the design.

Open Lab

Lab 05 · Unit 12

Financial Evidence Lab

Model compounding, fees, time, break-even behavior, and assumptions instead of ranking options by headline rate.

Open Lab

Lab 06 · Unit 13

Integrated Modelling Lab

Practice the complete modelling cycle: frame, constrain, represent, calculate, validate, test sensitivity, and defend limitations.

Open Lab

Browser-local lab records are editable, unsigned learning evidence. Evaluator review is required for the lab-mastery mark; these records are not self-authenticating transcripts or credentials.