Polynomials
This Unit’s Key Question: How do machines learn?
Day 1: Degrees & Turning Points
Lesson Key Question: How do computers fit models?
Content: Polynomial Functions | Polynomial Degree | Turning Points
Day 2: End Behavior
Lesson Key Question: How do computers learn?
Content: Even & Odd Functions | Leading Coefficient | End Behavior
Day 3: Real Roots & Factored Form
Lesson Key Question: Can we re-create the machine model?
Content: Polynomials in Factored Form | Real Roots | Multiplicity
Day 4: Long Division
Lesson Key Question: Can we tune a model by hand?
Content: Polynomial Long Division | Remainders
Day 5: Synthetic Division
Technique Lesson: Skill-building lesson (no key contextual question)
Content: Synthetic Division of Polynomials | Number of Solutions
Day 6: Complex Roots
Lesson Key Question: What if our model has no intercepts?
Content: Imaginary Numbers | Complex Roots | Fundamental Theorem of Algebra