Algebraic Proof and Functional Analysis · Algebraic Thinking
Polynomials and Curve Sketching
Analyzing the properties of higher degree polynomials and the relationship between algebraic factors and graphical intercepts.
Key Questions
- 1How does the degree of a polynomial dictate its end behavior and maximum number of roots?
- 2What is the relationship between the discriminant and the geometric intersection of curves?
- 3How can we transform complex functions by manipulating their algebraic components?
National Curriculum Attainment Targets
A-Level: Mathematics - Algebra and Functions
Year: Year 12
Subject: Mathematics
Unit: Algebraic Proof and Functional Analysis
Period: Algebraic Thinking
Suggested Methodologies
Ready to teach this topic?
Generate a complete, classroom-ready active learning mission in seconds.