Instructional priorities
- Trigonometric integrals
- Power-reduction identities
- Odd/even power strategies
- Trigonometric substitution
- Back-substitution
- Domain restrictions
- Exact verification
Faculty planning and evidence
Trigonometric Integrals & Trigonometric Substitution
How do identities and right-triangle substitutions convert trigonometric powers and radical forms into integrable structure?
Evidence expectations
Require method selection, exact notation, conditions, units, interpretation, and an independent verification. Score the reasoning chain, not only the final value.
Common interventions
Use retrieval diagnostics, smaller algebraic cases, multiple representations, worked-example fading, error comparison, and oral explanation before assigning more repetition.
Assessment sequence
Formative checks → pathway set → investigation → mastery check → correction → reassessment. Preserve both first-attempt and corrected evidence.