Plan
Define variables, units, domain, assumptions, constraints, and the question being answered.
Applied Investigation · Unit 01
Readiness Portfolio & Function Behavior Defense
How do function structure, representations, units, and algebraic fluency prepare us to analyze change and accumulation?
Investigation purpose
Use the unit's central calculus ideas to answer a meaningful question with symbolic, graphical, numerical, and contextual evidence. The finished work must be reproducible, interpretable, and honest about assumptions.
Analyze
Use at least two calculus representations and show the governing theorem, derivative, integral, or differential equation.
Validate
Check with technology, an alternate method, a limiting case, or observed data. Explain discrepancies.
Required evidence
- One-page project brief and diagram.
- Complete mathematical development with notation and units.
- At least one graph, table, or CAD/measurement artifact where relevant.
- Error analysis or model limitation.
- Written conclusion that answers the original question.
- Two-minute oral defense or recorded explanation.
OHMIC CAD option: For design, optimization, cross-section, scale, or volume work, learners may build an OHMIC CAD artifact and retain a print, SVG, or PDF export with the mathematical record.
Khaemenes Academy · Calculus I Investigation
Readiness Portfolio & Function Behavior Defense
Planning and evidence record
1
Question, variables, units, domain, constraints, and assumptions
2
Calculus method and governing theorem or definition
3
Validation, limitations, revision, and conclusion
Rubric · 100 points
| Criterion | Points |
|---|---|
| Question, variables, units, assumptions, and domain | 20 |
| Correct calculus reasoning and notation | 30 |
| Representations, evidence, and technology documentation | 20 |
| Validation, error analysis, and limitations | 15 |
| Communication and oral defense | 15 |