The Complex Number System
HSN-CN.B.6
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- HSN-CN.B.4(+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.
- HSN-CN.B.5(+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. For example, (-1 + √3 i)^{3} = 8 because (-1 + √3 i) has modulus 2 and argument 120°.
- HSN-CN.B.6(+) Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.
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HSN-CN.B.6
(+) Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.
2 Lesson(s)
Finding the Distance or the Midpoint of a Line Segment on the Coordinate Plane
Algebra I »
Unit: Radical Expressions, Equations, and Rational Exponents
Algebra I »
Unit: Radical Expressions, Equations, and Rational Exponents
Big Idea:
This lesson gains student interest using a Carnival Map and dives deeper using the Math Practices One, Two, and Four.
Standards:
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Multiplying Complex Numbers, Day 2 of 4
Algebra II »
Unit: The Complex Number System
Algebra II »
Unit: The Complex Number System
Big Idea:
Students explore and explain correspondences between numerical and graphical representations of arithmetic with complex numbers.
Standards:
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(2)
Resources
(9)
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First grade
Second grade
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Middle School
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
Ninth and Tenth Grade
Kindergarten
First grade
Second grade
Third Grade
Fourth grade
Fifth grade
Middle School