Unit 1Algebra 1 Linear Functions Review
8 lessons4 Weeks
Algebra 1 Linear Functions Review
 Week 1
Lesson 1
Simplifying Expressions
This lesson will review simplifying expressions.
Lesson 2
Solving Equations
This lesson will review solving equations.
 Week 2
Lesson 3
Investigating Graphing Lines
This lesson will review graphing and transformations of lines.
Lesson 4
Graphing Linear Functions
This lesson will review graphing linear functions.
 Week 3
Lesson 5
Linear Functions Review
This lesson will review Algebra 1 linear functions.
Lesson 6
Applications of Linear Systems
This lesson will review applications of linear systems from Algebra 1.
 Week 4
Lesson 7
Introduction to Functions (Notation, Operations, Composition)
This lesson will introduce functions and review notation, operations, and compositions.
Lesson 8
Algebraic Modeling with Linear Functions
This lesson will review how to do Algebraic Modeling using linear functions.
Unit 2Polynomials Functions
10 lessons5 Weeks
Polynomials Functions
 Week 5
Lesson 9
Regression Analysis and Intro to Quadratics
This lesson will go over regression analysis and introduce quadratic functions through data.
Lesson 10
Graphing Quadratics Review
This lesson will go over the anatomy of a quadratic from Algebra 1 and provides review work for working with quadratics in vertex, standard, and factored form.
 Week 6
Lesson 11
Factoring
This lesson is designed as a comprehensive review of factoring from Algebra 1 and includes the GCF Method, Trinomials with a lead coefficient of 1, Trinomials without a lead coefficient of 1, Factor by Grouping, Special Case: Difference of Squares, and Special Case: Perfect Square Trinomials.
Lesson 12
Solving Quadratics
This lesson will review the 4 Algebra 1 methods for solving quadratics using factoring and the zero product property, using the square root method, using completing the square, and using the quadratic formula.
 Week 7
Lesson 13
Radicals and Complex Numbers
This lesson will review properties of radicals and complex numbers as they appear quite often in polynomial functions.
Lesson 14
Modeling Quadratics
This lesson will review Algebraic Modeling with Quadratic Functions using data.
 Week 8
Lesson 15
Polynomial Skills Refresh
This lesson will review the basics of working with polynomials.
Lesson 16
Polynomial Division and Theorems
This lesson will introduce polynomial division using long division and synthetic division and related theorems.
 Week 9
Lesson 17
Polynomial Theorems and Equations
This lesson will introduce more polynomial theorems and how to write polynomial functions.
Lesson 18
Graphing Polynomial Functions
This lesson will put all of our polynomial work together by completely graphing polynomial functions and then trying related application problems.
Unit 3Radical, Reciprocal, and Rational Functions
6 lessons3 Weeks
Radical, Reciprocal, and Rational Functions
 Week 10
Lesson 19
Radical Equations
This lesson will introduce radical equations.
Lesson 20
Radical Functions and Transformations
This lesson will introduce radical functions and their transformations.
 Week 11
Lesson 21
Reciprocal Functions
This lesson will focus on graphing reciprocal functions.
Lesson 22
Rational Expressions and Equations
This lesson will review fraction skills applied to rational fractions that contain polynomials in the numerator and/or denominator.
 Week 12
Lesson 23
Rational Functions
This lesson will introduce graphing simplified rational functions and the different types of asymptotes that exist.
Lesson 24
Rational Functions Discontinuities and Applications
This lesson will introduce graphing non-simplified rational functions and the different types of discontinuities that exist.
Unit 4Exponential and Logarithmic Functions
8 lessons4 Weeks
Exponential and Logarithmic Functions
 Week 13
Lesson 25
Exponential Properties Review & Exponential vs Linear Modeling
This lesson will review properties of exponents.  This lesson will also review Algebraic modeling for exponential functions.
Lesson 26
Graphing Exponential Functions
This lesson will review graphing exponential functions.
 Week 14
Lesson 27
Simplifying Logarithms
This lesson will introduce logarithms and their basic properties.
Lesson 28
Properties of Logarithms
This lesson will introduce properties of logarithms and how to go between exponents logarithms using these properties. 
 Week 15
Lesson 29
Solving Logarithmic Equations
This lesson will use properties of logarithms to solve logarithmic equations.
Lesson 30
Solving Exponential Equations
This lesson will use logarithms to solve exponential equations where the variable is in the exponent.
 Week 16
Lesson 31
Graphing Logarithmic Functions
This lesson will focus on graphing logarithmic functions.
Lesson 32
Applications for Exponential and Logarithmic
This lesson will introduce applications involving both exponential and logarithmic functions.