High School Integrated Mathematics II

Module One: Review of Algebra

-Review algebraic concepts

-Identify functions, solve inverses, and compose functions

-Graph linear equations and inequalities

-Write the equation of a line given different information

-Identify and compare key features of functions

Module Two: Rational, Complex, and Polynomials 

-Rewrite expressions with rational exponents

-Apply properties of rational exponents to simplify expressions

-Solve radical equations

-Simplify imaginary and complex numbers

-Use algebraic properties to simplify complex numbers

-Define and determine the characteristics of polynomials

-Add, subtract, multiply, and divide polynomial expressions

Module Three: Factoring and Quadratics

-Determine greatest common factors and special products

-Factor a polynomial by grouping

-Factor using the sum and difference of cubes

-Graph quadratic functions

-Solve quadratic equations by completing the square

-Solving quadratic equations using different methods

-Solve quadratic equations with complex solutions

-Derive equations for parabolas

Module Four: Systems of Equations and Inequalities 

-Solve systems of equations algebraically

-Solve systems of nonlinear equations using different methods

-Solve systems of nonlinear equations graphically

-Solve systems of nonlinear equations graphically

-Create exponential functions and solve equations

-Create logarithmic functions and solve equations

Module Five: Statistics 

-Determine outcomes of events in sample spaces

-Determine the independence of two events

-Construct and interpret two-way frequency tables

-Calculate and interpret conditional probability

-Prove equations using the Pythagorean Identity

-Simplify expressions using the Pythagorean Identity