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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 mathematics through interactive video-based content. Successful completion of Algebra I and Geometry is required. Additionally, most districts recommend successful completion of Algebra II in their pupil progression plan to fully extend key concepts and prepare you for your mathematical future. The course incorporates the following Standards for Mathematical Practice: 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.

Module One: Rational Exponents and Complex Numbers

-Rational exponents

-Properties and applications of exponents

-Key features and graphs of radical functions

-Using properties when working with complex numbers


Module Two: Quadratics

-Factoring and graphing quadratics

-Solving by completing the square

-Solve using the quadratic formula

-Solve systems of equations by graphing

-Working with conics


Module Three: Polynomials and Rational Equations

-Understan and apply the remainder theorem

-Solve polynomials by factoring

-Sketch polynomials by finding zeros

-Identities of polynomial

-Rewriting rational expressions

-Graph rational functions


Module Four: Exponential and Logarithmic Equations

-Growth and decay using exponential functions

-Applying growth and decay models

-Identifying transformations

-Solve equations using logarithms

-Graph exponential and logarithmic functions

Module Five: Arithmetic and Geometric Sequences and Series

-Create discrete linear functions using arithmetic sequences

-Create discrete exponential functions using geometric sequences

-Develop the formula for the sum of finite geometric series

-Sum of finite geometric series to solve real-world problems


Module Six: Plane Geometry and Trigonometric Graphs

-Write equations for perpendicular lines

-Prove geometric theorems on the coordinate plane

-Prove theorems algebraically

-Key features of trigonometric graphs

-Graphing absolute value and piecewise functions

-Compare key features of functions


Module Seven: Independent and Conditional Probability

-Conditional probabilities of dependent and independent events

-Calculate probabilities from two-way frequency tables

-Evaluate independent and dependent evens using two-way frequency tables

-Conditional probability and independence


Module Eight: Statistics

-Introduction to statistics populations and samples

-Simulation models

-Studies in statistics

-Evaluate reports

-Make estimations and predictions

-Evaluate treatment effectiveness by analyzing and presenting data