# High School Algebra II (Florida Specific)

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Suggested Prerequisites

Algebra 1, Geometry

Description

This advanced mathematics course uses hands-on 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

-find inverses of functions

-factor polynomials using grouping and special products

-factor the sum and difference of cubes

-solve quadratic equations by completing the square

-solve quadratic equations with complex solutions

-determine key features of quadratic functions

-graph quadratic functions from various formats

-apply quadratic functions to real-world 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 real-world 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 real-world 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 two-way tables to calculate probability

-find permutations and combinations

-make fair decisions using probability

Module Five: Exponential and Logarithmic Functions

-create and solve exponential equations

-apply exponential functions to real-world 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 real-world 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

-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