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Advanced Algebra 2 Full Curriculum - Semester 1 (Units 1-6) - Self Paced

Ms. Li
Average rating:4.9Number of reviews:(17)
In this 12-week self-paced class, students will learn how to work with equations, inequalities, factoring, rationals, radicals, complex numbers, and functions.

Class experience

US Grade 9 - 12
Advanced Level
6 units//48 lessons//12 Weeks
Unit 1Mathematical Systems, Equations, and Inequalities
5 lessons2 Weeks
Mathematical Systems, Equations, and Inequalities
 Week 1
Lesson 1
Subsets of the Real Number System
Lesson 2
Linear Equations, Linear Inequalities, Set-builder and Interval Notation
Lesson 3
Compound Inequalities
Lesson 4
Absolute Value Inequalities
 Week 2
Lesson 5
Linear Systems of 3 Variables
Unit 2Factoring
11 lessons3 Weeks
 Week 2
Lesson 6
Multiplying Polynomials
Lesson 7
Binomial Expansion
Lesson 8
GCF and Trinomials with Leading Coefficient of 1
 Week 3
Lesson 9
Difference of Squares and Perfect Square Trinomials
Lesson 10
Trinomials with Leading Coefficient Not 1; Factoring by Grouping
Lesson 11
Sum and Difference of Cubes
Lesson 12
All Factoring Techniques
 Week 4
Lesson 13
Literal Equations
Lesson 14
Zero Product Property
Lesson 15
Completing the Square and Quadratic Formula
Lesson 16
Quadratic and Polynomial Inequalities
Unit 3Rational Expressions
10 lessons3 Weeks
Rational Expressions
 Week 5
Lesson 17
Simplifying Rational Expressions
Lesson 18
Multiplying and Dividing Rational Expressions
Lesson 19
Adding and Subtracting Rational Expressions with Monomial Denominators
Lesson 20
Adding and Subtracting Rational Expressions with Polynomial Denominators
 Week 6
Lesson 21
Complex Fractions
Lesson 22
Rational Equations
Lesson 23
Work Problems
Lesson 24
Motion Problems
 Week 7
Lesson 25
Mixture Problems
Lesson 26
Rational Inequalities
Unit 4Radical Expressions
7 lessons3 Weeks
Radical Expressions
 Week 7
Lesson 27
Rules of Exponents
Lesson 28
Equations with Rational Exponents
 Week 8
Lesson 29
Simplifying Radicals Including Higher Indices
Lesson 30
Multiplying and Dividing Radicals; Rationalizing the Denominators
Lesson 31
Adding and Subtracting Radical Expressions
Lesson 32
Binomials Containing Radicals
 Week 9
Lesson 33
Radical Equations
Unit 5Complex Numbers
7 lessons2 Weeks
Complex Numbers
 Week 9
Lesson 34
Imaginary Unit, Powers of i, Intro to Complex Numbers
Lesson 35
Operations with Complex Numbers
Lesson 36
Graphing Complex Numbers
 Week 10
Lesson 37
Absolute Value of Complex Numbers
Lesson 38
Solving Quadratics with Imaginary Roots
Lesson 39
Nature of the Roots 1
Lesson 40
Nature of the Roots 2
Unit 6Relations and Functions
8 lessons2 Weeks
Relations and Functions
 Week 11
Lesson 41
Functions and Relations
Lesson 42
Domain and Range
Lesson 43
Compositions of Functions
Lesson 44
Inverse Functions and One-to-one Functions
 Week 12
Lesson 45
Transformations of Random Functions
Lesson 46
Transformations of Absolute Value, Parabolic, and Square Root Functions
Lesson 47
Projectile Motion Word Problems
Lesson 48
Average Rate of Change
Students will be able to:
- identify subsets of the real number system
- solve linear equations and inequalities
- write solutions in both set-builder and interval notation
- solve 3x3 linear systems
- multiply polynomials
- factor polynomials using several strategies
- solve literal equations
- solve quadratic equations using several strategies
- solve polynomial inequalities
- simplify and perform operations on rational expressions
- simplify complex fractions
- solve rational equations
- solve word problems using rational equations
- solve rational inequalities
- simplify exponential expressions
- solve equations with rational exponents
- perform operations on radical expressions
- solve radical equations
- simplify and perform operations with complex numbers
- graph complex numbers
- solve quadratics with complex roots
- find the nature of the roots using the discriminant
- identify functions
- identify domain and range of functions
- evaluate compositions of functions
- work with inverse functions and 1-1 functions
- transform functions
- solve projectile motion word problems
- find the average rate of change
I have a Bachelors in Mathematics and a Masters in Secondary Math Education. I have also taught high school mathematics as a public school teacher and private tutor for over 14 years. 
Homework Offered
Homework will be assigned after each lesson to reinforce the material that was taught for that class.
4+ hours per week outside of class
Assessments Offered
Grades Offered
Notebook, pen/pencil (multiple colors if possible), handouts (provided by Ms. Li on our classroom page), graphing calculator (i.e. TI-84 Plus), graph paper
Average rating:4.9Number of reviews:(17)
Hello! My name is Ms. Li. I have a Bachelors degree in Mathematics from UMass Amherst and a Masters degree in Secondary Math Education from Columbia University’s Teachers College. I also am a licensed math teacher for grades 7-12. I have been a... 
Self-Paced Class


weekly or $480 for all content
48 pre-recorded lessons
12 weeks of teacher feedback
Choose your start date
1 year of access to the content

Completed by 1 learner
Ages: 14-18

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