Around Algebra 2 in 80 Days

  1. Review of Algebra 1: 5 days

a.  Exploring Transformations

b.  Transforming Linear Functions

  1. Quadratic Functions: 10 days

a.  Using Transformations to Graph Quadratic Functions

b.  Properties of Quadratic Functions in Standard Form

c.  Solving Quadratic Equations by Graphing and Factoring

d.  Completing the Square

e.  Complex Numbers and Roots

f.  The Quadratic Formula

g.  Solving Quadratic Inequalities

h.  Operations with Complex Numbers

  1. Polynomial Functions: 10 days

a.  Polynomials

b.  Multiplying Polynomials

c.  Dividing Polynomials

d.  Factoring Polynomials

e.  Finding Real Roots of Polynomials

f.  Fundamental Theorem of Algebra

g.  Investigating Graphs of Polynomials Functions

h.  Transforming Polynomials Functions

  1. Logarithmic and Exponential Functions: 7 days

a.  Exponential Functions, Growth and Decay

b.  Inverses of Relations and Functions

c.  Logarithmic Functions

d.  Properties of Logarithms

e.  The Natural Base, e

f.  Transforming Exponential and Logarithmic Functions

  1. Rational and Radical Functions: 10 days

a.  Variation Functions

b.  Multiplying and Dividing Rational Expressions

c.  Adding and Subtracting Rational Expressions

d.  Rational Functions

e.  Solving Rational Equations and Inequalities

f.  Radical Expressions and Rational Exponents

g.  Radical Functions

h.  Solving Radical Equations and Inequalities

  1. Properties of Functions: 6 days

a.  Comparing Functions

b.  Piecewise Functions

c.  Transforming Functions

d.  Operations with Functions

e.  Functions and Their Inverses

  1. Trigonometry Functions: 6 days

a.  Right Angle Trigonometry

b.  Angles of Rotations

c.  The Unit Circle

d.  Inverses of Trigonometric Functions

e.  Graphs of Sine and Cosine

f.  Fundamental Trigonometric Identities

  1. Conic Sections: 6 days

a.  Introduction to Conic Sections

b.  Circles

c.  Ellipses

d.  Hyperbolas

e.  Parabolas

f.  Identifying Conic Sections

g.  Solving Nonlinear Systems

  1. Probability: 6 days

a.  Permutations and Combinations

b.  Theoretical and Experimental Probability

c.  Independent and Dependent Events

d.  Two-Way Tables

e.  Compound Events

  1. Data Analysis and Statistics: 7 days

a.  Measures of Central Tendency and Variation

b.  Data Gathering

c.  Surveys, Experiments, and Observational Studies

d.  Fitting to a Normal Distribution

  1. Series and Sequences: 7 days

a.  Introduction to Sequences

b.  Series and Summation Notation

c.  Arithmetic Sequence and Series

d.  Geometric Sequences and Series

e.  Mathematical Induction and Infinite Geometric Series