Secondary Mathematics II

Strand: NUMBER AND QUANTITY - The Complex Number System (N.CN)

Perform arithmetic operations with complex numbers (Standards N.CN.1–2). Use complex numbers in polynomial identities and equations (Standards N.CN.7–9).
• Completing the square
The goal of this task is to solve quadratic equations with complex roots by completing the square. Students could of course directly use the quadratic formula, but going through the process of completing the square helps reinforce the mathematics behind the quadratic formula.
• Complex Cube and Fourth Roots of 1
This Illustrative Mathematics task has students further their understanding of the algebra of the complex numbers.
• Complex number patterns
This Illustrative Mathematics task serves as a possible first student exploration after an initial introduction to the form and arithmetic of complex multiplication.
• Complex Square Roots
This Illustrative Mathematics task is intended as an introduction to the algebra of the complex numbers, and also builds student's comfort and intuition with these numbers.
• Computations with Complex Numbers
• Introduction to the Materials (Math 2)
Introduction to the Materials in the Mathematics Two of the The MVP classroom experience begins by confronting students with an engaging task and then invites them to grapple with solving it. As students ideas emerge, take form, and are shared, the teacher orchestrates the student discussions and explorations towards a focused mathematical goal. As conjectures are made and explored, they evolve into mathematical concepts that the community of learners begins to embrace as effective strategies for analyzing and solving problems.
• Module 3: Solving Quadratics & Other Equations - Student Edition (Math 2)
The Mathematics Vision Project, Secondary Math Two Module 3, Solving Quadratics & Other Equations. The idea that different quadratic forms are useful in graphing is extended in Module 3, Solving Quadratic and Other Equations, when students use different forms of quadratic equations to find the roots or solve quadratic equations of a single variable.
• Module 3: Solving Quadratics & Other Equations - Teacher Edition (Math 2)
The Mathematics Vision Project, Secondary Math Two Module 3, Solving Quadratics & Other Equations. The idea that different quadratic forms are useful in graphing is extended in Module 3, Solving Quadratic and Other Equations, when students use different forms of quadratic equations to find the roots or solve quadratic equations of a single variable.
• NUMBER AND QUANTITY - The Complex Number System (N.CN) - Sec Math II Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for the Secondary Mathematics II - The Complex Number System (N.CN).
• Powers of a complex number
The goal of this Illustrative Mathematics task is to practice making calculations with complex numbers and to visualize what happens when two complex numbers are multiplied.
• Vertex of a parabola with complex roots
The goal of this Illustrative Mathematics task is to study the relationship between the roots of a quadratic function and its graph.

http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Lindsey Henderson and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.