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High School Liberal Arts Mathematics II

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Suggested Prerequisites

Algebra 1, Geometry

Description

Get ready to dive into a challenging math course through interactive video-based content. Successful completion of Algebra 1 and Geometry is required. Additionally, most districts recommend successful completion of Algebra 2 in their pupil progression plan to fully extend key concepts and prepare you for your mathematical future. Please check your district’s plan to determine if Algebra 2 is a prerequisite for this course. If such a plan is not available, Florida Virtual School recommends successful completion of Algebra 2 prior to enrolling in Liberal Arts Math 2. The course incorporates the Florida Standards for Mathematical Practice, as well as the following Florida Standards for Mathematical Content: Rational Numbers, Seeing Structure in Expressions, Reasoning with Equations and Inequalities, Interpreting Functions, Arithmetic with Polynomials and Rational Expressions, Linear, Quadratic, and Exponential Models, Expressing Geometric Properties with Equations, Conditional Probability and the Rules of Probability, and Making Inferences and Justifying Conclusions.This is an excellent third or fourth year math course and is accepted by Bright Futures and SUS, but is not NCAA approved at this time.

Rational Exponents and Complex Numbers

-rational exponents

-properties and applications of exponents

-graphs of radical functions

-complex numbers


Quadratics

-factoring and graphing quadratics

-completing the square

-the quadratic formula

-graphing systems of equations

-conics


Polynomials and Rational Equations

-the remainder theorem

-solving polynomials by factoring

-sketching polynomials by finding zeros

-polynomial identities

-rational expressions

-graphing rational functions


Exponential and Logarithmic Equations

-exponential functions

-growth and decay models

-transformations

-solving equations using logarithms

-graphing exponential and logarithmic functions

Arithmetic and Geometric Sequences and Series

-arithmetic sequences

-geometric sequences

-sum of finite geometric series

-applications of series


Plane Geometry and Trigonometric Graphs

-perpendicular lines

-proofs on the coordinate plane

-proving theorems algebraically

-trigonometric graphing

-absolute value and piecewise functions


Independent and Conditional Probability

-introduction to probability

-two-way tables

-independence vs dependence

-conditionality


Statistics

-introduction to statistics

-simulations

-statistical studies

-evaluating reports

-estimations and predictions

-analyzing and presenting data