The Complex Number System
HSN-CN.A.3
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- HSN-CN.A.1Know there is a complex number i such that i^{2} = -1, and every complex number has the form a + bi with a and b real.
- HSN-CN.A.2Use the relation i^{2} = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
- HSN-CN.A.3(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.
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HSN-CN.A.3
(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.
7 Lesson(s)
Arithmetic with Complex Numbers
Algebra II »
Unit: Polynomial Theorems and Graphs
Algebra II »
Unit: Polynomial Theorems and Graphs
Big Idea:
Imaginary numbers are used to represent quantities that have two parts; working with these numbers is similar to working with polynomial expressions.
Standards:
Favorites
(5)
Resources
(23)
Reflections
(2)
Complex Numbers and Quadratic Equations Test
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Test student on their knowledge of complex numbers and quadratic equations..
Favorites
(1)
Resources
(10)
Roots of Polynomial Functions - Day 2 of 2
12th Grade Math »
Unit: Polynomial and Rational Functions
12th Grade Math »
Unit: Polynomial and Rational Functions
Big Idea:
Find complex roots and learn about the history of imaginary numbers.
Standards:
Favorites
(1)
Resources
(12)
Polynomials with Complexes… Complex Zeros that is!
12th Grade Math »
Unit: Polynomial Functions and Equations
12th Grade Math »
Unit: Polynomial Functions and Equations
Big Idea:
Personal response systems keep students engaged and monitor their current progress as they find all zeros of a polynomial function.
Standards:
Favorites
(2)
Resources
(24)
Reflections
(2)
Test Review
12th Grade Math »
Unit: Polynomial Functions and Equations
12th Grade Math »
Unit: Polynomial Functions and Equations
Big Idea:
Students will work together and ask questions on their test review to prepare for tomorrow's unit test.
Standards:
Resources
(6)
Dividing Complex Numbers
Algebra II »
Unit: The Complex Number System
Algebra II »
Unit: The Complex Number System
Big Idea:
Division of complex numbers is best understood in its relation to multiplication and transformations of the complex plane.
Standards:
Favorites
(2)
Resources
(10)
Reflections
(1)
Review of Complex Numbers
12th Grade Math »
Unit: Vectors and Complex Numbers
12th Grade Math »
Unit: Vectors and Complex Numbers
Big Idea:
How is a complex number in standard form similar to a vector in unit vector form?
Standards:
Resources
(16)
Reflections
(1)
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