High School Algebra II (Florida Specific)

License Model
FlexPoint or School/District Hosted

Number of Credits
1.0

Estimated Completion Time
3236 weeks
Suggested Prerequisites
Algebra 1, GeometryDescription
This advanced mathematics course uses handson activities and interactive examples to dive deeper into the discipline of Algebra. You will extend your knowledge of linear, exponential, and quadratic functions. You will be introduced to polynomial functions, complex numbers, rational functions, logarithmic functions, and mathematical sequences. You will also deepen your understanding of probability and statistics. Throughout the course, these mathematical concepts will be applied to everyday occurrences to demonstrate how the world around you functions.Module One: Radical and Polynomial Operations
convert between radical and rational exponent form
apply properties of rational exponents
solve radical equations that include extraneous solutions
evaluate powers of i
use complex numbers to simplify radical expressions
add, subtract, multiply, and divide complex numbers
add, subtract, and multiply polynomials
find inverses of functions
Module Two: Factoring and Quadratics
factor polynomials using grouping and special products
factor the sum and difference of cubes
solve quadratic equations by factoring
solve quadratic equations by completing the square
solve quadratic equations using the quadratic formula
solve quadratic equations with complex solutions
determine key features of quadratic functions
graph quadratic functions from various formats
apply quadratic functions to realworld scenarios
Module Three: Solving Polynomials
divide polynomials using long division
divide polynomials using synthetic division
describe the end behavior of polynomial functions
identify key features of polynomial functions
identify even and odd functions
solve polynomial functions by graphing
use zeros to graph polynomial functions
apply polynomial functions to realworld scenarios
Module Four: Rational Equations
simplify rational expressions and identify restrictions
add, subtract, multiply, and divide rational expressions
graph rational functions
identify key features of rational functions
solve rational equations
apply rational equations to realworld scenarios
Module: Segment One Honors
understand the Fundamental Theorem of Algebra
understand the Factor and Remainder theorems
learn and apply Binomial Theorem and Pascal's triangle
determine sets and subsets of a sample space
find unions, intersections, and complements
determine and interpret independent and conditional probability
use twoway tables to calculate probability
apply the Addition Rule
find permutations and combinations
make fair decisions using probability
Module Five: Exponential and Logarithmic Functions
create and solve exponential equations
apply exponential functions to realworld scenarios
explore exponential growth using compound interest
use e to calculate continuously compounded interest
solve logarithmic equations
use logarithms to solve exponential equations
graph and transform exponential and logarithmic functions
fit existing data to exponential functions
Module Six: Systems of Equations
solve systems of linear equations algebraically
use graphing to solve systems of linear equations
solve systems of nonlinear equations algebraically
use graphing to solve systems of nonlinear equations
apply systems of equations to realworld scenarios
Module Seven: Inequalities and Functions
solve and graph quadratic inequalities in one variable
solve and graph quadratic inequalities in two variables
solve and graph absolute value functions and inequalities
solve, graph, and interpret systems of inequalities
graph square root and cube root functions
identify and compare different function types
Module: Segment Two Honors
use matrices to represent and manipulate data
add, subtract, and multiply matrices
find inverses of matrices
calculate the determinant of a matrix
apply matrices to systems of equations
create, graph, and interpret piecewise functions
determine an arithmetic or geometric sequence
create explicit formulas for arithmetic sequences
create explicit formulas for geometric sequences