The Complex Plane and Polynomials
Geometric representation of complex numbers on the Argand plane, including subsets defined by relations. Students also investigate the fundamental theorem of algebra and roots of polynomials with real coefficients.
About This Topic
Geometric representation of complex numbers on the Argand plane, including subsets defined by relations. Students also investigate the fundamental theorem of algebra and roots of polynomials with real coefficients.
Key Questions
- How do we graph regions in the complex plane?
- What is the relationship between complex roots of real polynomials?
- How does the fundamental theorem of algebra apply to polynomial factorisation?
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Planning templates for Specialist Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
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