Mi Math Standards


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Picture of Troy Patterson

HSN-CN.B.5

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

(+) 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°.

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSN-CN.B.6

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

(+) 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.

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSN-CN.C.7

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

Solve quadratic equations with real coefficients that have complex solutions.

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSN-CN.C.8

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

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

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSN-CN.C.9

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

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

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSN-Q.A.1

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

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.

Grade levels
09, 10, 11, 12


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HSN-Q.A.2

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

Define appropriate quantities for the purpose of descriptive modeling.

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSN-Q.A.3

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

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

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSN-RN.A.1

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

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.

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSN-RN.A.2

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

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

Grade levels
09, 10, 11, 12



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