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STANDARDS

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US-WV

Math

West Virginia Math

High School Mathematics II: Extending the Number System

Extend the properties of exponents to rational exponents.

M.2HS.1

Fully covered
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. (e.g., We define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5^(1/3)3 to hold, so (5^1/3)^3 must equal 5.)

M.2HS.2

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

Use properties of rational and irrational numbers.

M.2HS.3

Not covered
Explain why sums and products of rational numbers are rational, that the sum of a rational number and an irrational number is irrational and that the product of a nonzero rational number and an irrational number is irrational.
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Perform arithmetic operations with complex numbers.

M.2HS.4

Fully covered
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.

M.2HS.5

Fully covered
Use the relation i^2 = –1 and the commutative, associative and distributive properties to add, subtract and multiply complex numbers.

Perform arithmetic operations on polynomials.

M.2HS.6

Mostly covered
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract and multiply polynomials.