## Mi Math Standards

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### H #### 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°.

09, 10, 11, 12 #### 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.

09, 10, 11, 12 #### HSN-CN.C.7

Solve quadratic equations with real coefficients that have complex solutions.

09, 10, 11, 12 #### HSN-CN.C.8

(+) Extend polynomial identities to the complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x - 2i).

09, 10, 11, 12 #### HSN-CN.C.9

(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

09, 10, 11, 12 #### HSN-Q.A.1

Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.

09, 10, 11, 12 #### HSN-Q.A.2

Define appropriate quantities for the purpose of descriptive modeling.

09, 10, 11, 12 #### HSN-Q.A.3

Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

09, 10, 11, 12 #### HSN-RN.A.1

Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 51/3 to be the cube root of 5 because we want (51/3)3 = 5(1/3)3 to hold, so (51/3)3 must equal 5.

09, 10, 11, 12 #### HSN-RN.A.2

Rewrite expressions involving radicals and rational exponents using the properties of exponents.