Before the unit
Review prerequisite algebra and trigonometry, confirm calculator access, and complete any Foundation tasks indicated by the readiness evidence.
Learning-coach support
The Derivative from First Principles
How does the limiting slope of secant lines define instantaneous change?
During the unit
Ask the learner to explain notation aloud, retain corrected worksheets, label units, and verify technology output with independent reasoning.
Evidence to retain
- One corrected lesson worksheet
- One mastery attempt with corrections
- The applied investigation and rubric
- A reflection describing next steps
Mastery expectation
Target 80% with explanation. A lower first score is diagnostic; reteach, correct, and reassess rather than averaging uncorrected attempts.
Unit vocabulary families
derivative, derivative_graph