The Complex Number System
HSN-CN.A.1
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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.1
Know 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.
26 Lesson(s)
Review of Polynomial Roots and Complex Numbers
Algebra II »
Unit: Polynomial Theorems and Graphs
Algebra II »
Unit: Polynomial Theorems and Graphs
Big Idea:
Arithmetic with polynomials and complex numbers are performed in similar ways, but powers of i have a meaning distinct from powers of variables.
Standards:
Favorites
(2)
Resources
(10)
Complex Numbers Day 1 of 2
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Multiple models are use to represent computations with complex numbers.
Standards:
Favorites
(6)
Resources
(14)
Big Idea:
Introduce your students to complex numbers by letting them be active problem solvers.
Standards:
Favorites
(3)
Resources
(12)
Reflections
(1)
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)
Big Idea:
Play Jeopardy to fill those odd days before break or during homecoming week with meaningful mathematical activities like this Jeopardy game.
Standards:
HSN-CN.A.1
HSN-CN.A.2
HSA-SSE.A.2
HSA-CED.A.1
HSA-CED.A.2
HSA-CED.A.3
HSA-CED.A.4
HSA-REI.A.2
HSA-REI.D.11
HSF-IF.B.4
HSF-IF.B.5
HSF-IF.B.6
HSF-IF.C.7
HSF-IF.C.8
HSF-BF.B.3
HSF-BF.B.4
HSF-LE.A.4
HSF-TF.A.1
HSF-TF.A.2
HSF-TF.B.5
HSF-TF.C.8
HSS-ID.A.4
HSS-IC.A.1
HSS-IC.A.2
HSS-IC.B.3
HSS-IC.B.4
HSS-IC.B.5
HSS-IC.B.6
HSS-MD.B.6
HSS-MD.B.7
MP1
MP2
MP6
Favorites
(11)
Resources
(8)
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)
Completing the Square Day 1 of 2
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Compare and contrast the effectiveness of multiple methods of solving quadratic equations.
Standards:
Favorites
(3)
Resources
(19)
Simplifying Square Roots
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Area models introduce this Common Core transitional lesson on simplifying square roots.
Standards:
Favorites
(4)
Resources
(25)
Reflections
(2)
Inconceivable! The Origins of Imaginary Numbers
Algebra II »
Unit: The Complex Number System
Algebra II »
Unit: The Complex Number System
Big Idea:
Imaginary numbers aren't any more imaginary than negative numbers!
Standards:
Favorites
(5)
Resources
(14)
Reflections
(1)
Quadratic Formula
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Build the concept of the quadratic formula by deriving it from completing the square.
Standards:
Favorites
(2)
Resources
(18)
Imaginary Numbers Day 1 of 2
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Repeated reasoning is a central feature in this lesson.
Standards:
Favorites
(7)
Resources
(20)
Reflections
(1)
Completing the Square Day 2 of 2
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Compare and contrast the effectiveness of multiple methods of solving quadratic equations.
Standards:
Resources
(19)
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)
Complex Numbers Day 2 of 2
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Multiple models are use to represent computations with complex numbers.
Standards:
Favorites
(1)
Resources
(18)
Imaginary Numbers Day 2 of 2
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Repeated reasoning is a central feature in this lesson.
Standards:
Favorites
(5)
Resources
(27)
Reflections
(2)
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HS Algebra
HS Functions
HS Geometry
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Eighth Grade
Ninth and Tenth Grade
Kindergarten
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