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High School Algebra II (Florida Specific)

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  • N NCAA Eligible
  • H Honors Available
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Suggested Prerequisites

Algebra 1, Geometry

Description

Are you ready to unlock a deeper understanding of how the world around you actually functions? This technology-enhanced course is designed to take your math skills to the next level by applying advanced concepts to real-world, everyday scenarios. Throughout this journey, you will master challenging topics like the complex number system, radical expressions, and non-linear systems while diving into new functions like polynomial, rational, and logarithmic models. By building on what you already know and embracing new mathematical tools, you will develop the critical problem-solving skills needed to decode the data-driven world around you.

Module One: Radical and Polynomial Operations

-Add, subtract, and multiply polynomials

-Combine functions algebraically

-Find inverses of functions

-Convert between radical and rational exponent forms

-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

 

Module Two: Factoring and Graphing Quadratics

-Factor polynomials using grouping and special products

-Factor the sum and difference of cubes

-Determine key features of quadratic functions

-Graph quadratic functions from various formats

-Write the equation of a quadratic function

 

Module Three: Solving and Applying Quadratics

-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

-Apply quadratic functions to real-world scenarios

-Fit existing data to quadratic functions

 

Module Four: 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

-Use zeros to graph polynomial functions

-Apply polynomial functions to real-world scenarios

-Perform transformations on polynomial functions

-Find permutations and combinations (honors)

-Understand the Fundamental Theorem of Algebra (honors)

-Understand the Factor and Remainder theorems (honors)

-Use the Binomial Theorem and Pascal's triangle (honors)

-Determine sets and subsets of a sample space (honors)

-Find unions, intersections, and complements (honors)

-Determine and interpret independent and conditional probability (honors)

-Calculate and interpret probabilities (honors)

-Apply the Addition Rule (honors)

-Apply the Multiplication Rule (honors)

 

Module Five: Rational Equations

-Simplify rational expressions and identify restrictions

-Add, subtract, multiply, and divide rational expressions

-Solve rational equations

-Apply rational equations to real-world scenarios

-Graph rational functions

-Identify key features of rational functions

-Apply rational functions to real-world scenarios

 

Module Six: Exponential Functions

-Create and solve exponential equations

-Graph exponential functions

-Identify key features of exponential functions

-Apply exponential functions to real-world scenarios

-Explore exponential growth using compound interest

-Perform transformations on exponential functions

-Determine an arithmetic or geometric sequence (honors)

-Create explicit formulas for arithmetic sequences (honors)

-Create explicit formulas for geometric sequences (honors)

-Graph square root and cube root functions

-Identify key features of square root and cube root functions

 

Module Seven: Logarithmic Functions

-Solve logarithmic equations

-Use logarithms to solve exponential equations

-Graph logarithmic functions

-Identify key features of logarithmic functions

-Perform transformations on polynomial functions

-Fit existing data to exponential functions

-Create, graph, and interpret piecewise functions (honors)

-Identify and compare different function types

 

Module Eight: Systems of Equations

-Solve systems of equations graphically

-Solve systems of equations algebraically

-Use matrices to represent and manipulate data (honors)

-Add, subtract, and multiply matrices (honors)

-Find inverses of matrices (honors)

-Calculate the determinant of a matrix (honors)

-Apply matrices to systems of equations (honors)

-Solve and graph absolute value functions and inequalities

-Solve and graph one-variable quadratic inequalities

-Solve and graph two-variable quadratic inequalities

-Solve, graph, and interpret systems of inequalities