Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Number: MAFS.912.N-CN.3
Title: Use complex numbers in polynomial identities and equations. (Algebra 2 - Additional Cluster)
Type:
Cluster
Subject: Mathematics - Archived
Grade: 912
Domain-Subdomain: Number & Quantity: The Complex Number System
Related Standards
This cluster includes the following benchmarks
| Code |
Description |
| MAFS.912.N-CN.3.7: | Solve quadratic equations with real coefficients that have complex
solutions. |
| MAFS.912.N-CN.3.8: | Extend polynomial identities to the complex numbers. For example,
rewrite x² + 4 as (x + 2i)(x – 2i). |
| MAFS.912.N-CN.3.9: | Know the Fundamental Theorem of Algebra; show that it is true for
quadratic polynomials. |
Related Access Points
This cluster includes the following access points.
Access Points
| Access Point Number |
Access Point Title |
| MAFS.912.N-CN.3.AP.7a: | Use the quadratic formula  to find solutions to quadratic equations that have complex solutions. |
Related Resources
Vetted resources educators can use to teach the concepts and skills in this topic.
Lesson Plans
| Name |
Description |
| Ranking Sports Players (Quadratic Equations Practice): | Students will rank sports players designing methods, using different indicators, and working with quadratic equations. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
| Algebra made fundamental: | This lesson introduces students to the Fundamental Theorem of Algebra. Polynomials that are not in factored form will be limited to quadratic and cubic polynomials. |
| Where did the answers go? Oh, they're imaginary!: | In this lesson, students will solve quadratic equations with imaginary (complex) solutions and be facilitated in the discovery of the Fundamental Theorem of Algebra. |
Perspectives Video: Professional/Enthusiast
| Name |
Description |
| Quadratic Equations and Robots: | Get in gear with robotics as this engineer explains how quadratic equations are used in programming robotic navigation. |
Student Resources
Vetted resources students can use to learn the concepts and skills in this topic.
Perspectives Video: Professional/Enthusiast
| Title |
Description |
| Quadratic Equations and Robots: | Get in gear with robotics as this engineer explains how quadratic equations are used in programming robotic navigation. |
Parent Resources
Vetted resources caregivers can use to help students learn the concepts and skills in this topic.
Perspectives Video: Professional/Enthusiast
| Title |
Description |
| Quadratic Equations and Robots: | Get in gear with robotics as this engineer explains how quadratic equations are used in programming robotic navigation. |
