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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