Topics

`N-RN` The Real Number System

Learning objectives:

Extend the properties of exponents to rational exponents

Students will 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.

Use properties of rational and irrational numbers

Students will explain why the sum or product of two rational numbers is 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.

`N-Q` Quantities

Learning objectives:

Reason quantitatively and use units to solve problems

Students will 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.

`N-CN` The Complex Number System

Learning objectives:

Perform arithmetic operations with complex numbers

Students will represent complex numbers and their operations on the complex plane; use the relation $i^2 = –1$ and the commutative, associative, and distributive laws to add, subtract, and multiply complex numbers.

Represent complex numbers and their operations on the complex plane

Students will use the relation $i^2 = –1$ and the commutative, associative, and distributive laws to add, subtract, and multiply complex numbers.

`N-VM` Vector and Matrix Quantities

Learning objectives:

Represent and model with vector quantities

Students will recognize vector quantities as having both magnitude and direction, and represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes.