Trig/Algebra II
UNIT #1 – ALGEBRAIC ESSENTIALS REVIEW
Lesson #1 – Variables, Terms and Expressions
Lesson #2 – Solving Linear Equations
Lesson #3 – Common Algebraic Expressions
Lesson #4 – Basic Exponent Manipulation
Lesson #5 – Multiplying Polynomials
Lesson #6 – Using Tables on Your Calculator
UNIT #2 – FUNCTIONS AS THE CORNERSTONES OF ALGEBRA
Lesson #1 – Introduction to Functions
Lesson #2 – Function Notation
Lesson #3 – Function Composition
Lesson #4 – The Domain and Range of a Function
Lesson #5 – One to One Functions
Lesson #6 – Inverse Functions
Lesson #7 – Key Features of Functions
UNIT #3 – LINEAR FUNCTIONS, EQUATIONS, AND THEIR ALGEBRA
Lesson #1 – Direct Variation
Lesson #2 – Average Rate of Change
Lesson #3 – Forms of a Line
Lesson #4 – Linear Modeling
Lesson #5 – Inverses of Linear Functions
Lesson #6 – Piecewise Linear Functions
Lesson #7 - Systems of Linear Equations (Primarily 3 by 3)
UNIT #4 – EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Lesson #1 – Integer Exponents
Lesson #2 – Rational Exponents
Lesson #3 – Exponential Function Basics
Lesson #4 – Finding Equations of Exponentials
Lesson #5 – The Method of Common Bases
Lesson #6 – Exponential Modeling with Percent Growth and Decay
Lesson #7 – Mindful Percent Manipulations
Lesson #8 – Introduction to Logarithms
Lesson #9 – Graphs of Logarithms
Lesson #10 – Logarithm Laws
Lesson #11 – Solving Exponential Equations Using Logarithms
Lesson #12 – The Number e and the Natural Logarithm
Lesson #13 – Compound Interest
Lesson #14 – Newton's Law of Cooling
UNIT #5 – SEQUENCES AND SERIES
Lesson #1 – Sequences
Lesson #2 – Arithmetic and Geometric Sequences
Lesson #3 – Summation Notation
Lesson #4 – Arithmetic Series
Lesson #5 – Geometric Series
Lesson #6 – Mortgage Payments
UNIT #6 –QUADRATIC FUNCTIONS AND THEIR ALGEBRA
Lesson #1 – Quadratic Function Review
Lesson #2 – Factoring
Lesson #3 – Factoring Trinomials
Lesson #4 – Complete Factoring
Lesson #5 – Factoring by Grouping
Lesson #6 – The Zero Product Law
Lesson #7 – Quadratic Inequalities in One Variable
Lesson #8 – Completing the Square and Shifting Parabolas
Lesson #9 – Modeling with Quadratic Functions
Lesson #10 – Equations of Circles
Lesson #11 – The Locus Definition of a Parabola
UNIT #7 – TRANSFORMATIONS OF FUNCTIONS
Lesson #1 – Shifting Functions
Lesson #2 – Reflecting Parabolas
Lesson #3 – Vertically Stretching of Functions
Lesson #4 – Horizontal Stretching of Functions
Lesson #5 – Even and Odd Functions
UNIT #8 – RADICALS AND THE QUADRATIC FORMULA
Lesson #1 – Square Root Functions
Lesson #2 – Solving Square Root Equations
Lesson #3 – The Basic Exponent Properties
Lesson #4 – Fractional Exponents Revisited
Lesson #5 – More Exponent Practice
Lesson #6 – The Quadratic Formula
Lesson #7 – More Work with the Quadratic Formula
UNIT #9 – COMPLEX NUMBERS
Lesson #1 – Imaginary Numbers
Lesson #2 – Complex Numbers
Lesson #3 – Solving Quadratic Equations with Complex Solutions
Lesson #4 - The Discriminant of a Quadratic
UNIT #10 – POLYNOMIAL AND RATIONAL FUNCTIONS
Lesson #1 – Power Functions
Lesson #2 – Graphs and Zeroes of a Polynomial
Lesson #3 – Creating Polynomial Equations
Lesson #4 – Polynomial Identities
Lesson #5 – Introduction to Rational Functions
Lesson #6 – Simplifying Rational Expressions
Lesson #7 – Multiplying and Dividing Rational Expressions
Lesson #8 – Combining Rational Expressions Using Addition and Subtraction
Lesson #9 – Complex Fractions
Lesson #10 – Polynomial Long Division
Lesson #11 – The Remainder Theorem
Lesson #12 – Solving Rational Equations
Lesson #13 – Solving Rational Inequalities
Lesson #14 - Reasoning About Radical and Rational Equations
UNIT #11 – THE CIRCULAR FUNCTIONS
Lesson #1 – Rotations and Angle Terminology
Lesson #2 – Radian Angle Measurement
Lesson #3 – The Unit Circle
Lesson #4 – The Definition of the Sine and Cosine Functions
Lesson #5 – More Work with the Sine and Cosine Functions
Lesson #6 – Basic Graphs of Sine and Cosine
Lesson #7 – Vertical Shifting of Sinusoidal Graphs
Lesson #8 – The Frequency and Period of a Sinusoidal Graph
Lesson #9 – Sinusoidal Modeling
Lesson #10 – The Tangent Function
Lesson #11 - The Reciprocal Functions