The Complex Number System
- Perform Arithmetic Operations With Complex Numbers.
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N.CN.1Know there is a complex number i suc...more
Know there is a complex number i such that i2 = –1, and every complex number has the form a + bi with a and b real.
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N.CN.2Use the relation i2 = –1 and the c...more
Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
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N.CN.3(+) Find the conjugate of a complex ...more
(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.
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- Represent Complex Numbers And Their Operations On The Complex Plane.
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N.CN.4(+) Represent complex numbers on the...more
(+) 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.
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N.CN.5(+) Represent addition, subtraction,...more
(+) 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°.
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N.CN.6(+) Calculate the distance between n...more
(+) 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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- Use Complex Numbers In Polynomial Identities And Equations.
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N.CN.7Solve quadratic equations with real ...more
Solve quadratic equations with real coefficients that have complex solutions.
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N.CN.8(+) Extend polynomial identities to ...more
(+) Extend polynomial identities to the complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x – 2i).
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N.CN.9(+) Know the Fundamental Theorem of ...more
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
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Major cluster will be a majority of the assessment, Supporting clusters will be assessed through their success at supporting the Major Clusters and Additional Clusters will be assessed as well. The assessments will strongly focus where the standards strongly focus.
Grade level
- K-2
- 3-5
- 6-8
- 9-12
- math_attach
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