Outschool
Open currency, time zone, and language settings
Log In

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

In this 12-week self-paced class, students will learn how to work with equations, inequalities, factoring, rationals, radicals, complex numbers, and functions.
Ms. Li
Average rating:
4.9
Number of reviews:
(22)
Class
Play

What's included

48 pre-recorded lessons
12 weeks
of teacher support
1 year access
to the content
Homework
4+ hours per week. Homework will be assigned after each lesson to reinforce the material that was taught for that class.

Class Experience

US Grade 9 - 12
Advanced Level
In this 12-week self-paced course, we will be learning about the fundamentals of Algebra II, starting with solving equations, inequalities, and systems of equations. Then we will focus on strategies of factoring polynomials. After that we will be learning about how to work with everything surrounding rationals, radicals, complex numbers, and functions. This is an advanced level course and will go at a faster pace at times. We will also cover more rigorous problems at an in depth level. Students who take this course should have completed an entire Algebra I curriculum at a high level of mastery, have a passion for learning mathematics, and have a potential interest in pursuing a career in a STEM field. 

The topics for these first six units are listed below:

Week 1
Day 1 - Subsets of the Real Number System
Day 2 - Linear Equations, Linear Inequalities, Set-builder and Interval Notation
Day 3 - Compound Inequalities
Day 4 - Absolute Value Inequalities

Week 2
Day 1 - Linear Systems of 3 Variables
Day 2 - Multiplying Polynomials
Day 3 - Binomial Expansion
Day 4 - GCF and Trinomials with Leading Coefficient of 1

Week 3
Day 1 - Difference of Squares and Perfect Square Trinomials
Day 2 - Trinomials with Leading Coefficient Not 1; Factoring by Grouping
Day 3 - Sum and Difference of Cubes
Day 4 - All Factoring Techniques

Week 4
Day 1 - Literal Equations
Day 2 - Zero Product Property
Day 3 - Completing the Square and Quadratic Formula
Day 4 - Quadratic and Polynomial Inequalities

Week 5
Day 1 - Simplifying Rational Expressions
Day 2 - Multiplying and Dividing Rational Expressions
Day 3 - Adding and Subtracting Rational Expressions with Monomial Denominators
Day 4 - Adding and Subtracting Rational Expressions with Polynomial Denominators

Week 6
Day 1 - Complex Fractions
Day 2 - Rational Equations
Day 3 - Work Problems
Day 4 - Motion Problems

Week 7
Day 1 - Mixture Problems
Day 2 - Rational Inequalities
Day 3 - Rules of Exponents
Day 4 - Equations with Rational Exponents 

Week 8
Day 1 - Simplifying Radicals Including Higher Indices
Day 2 - Multiplying and Dividing Radicals; Rationalizing the Denominators 
Day 3 - Adding and Subtracting Radical Expressions
Day 4 - Binomials Containing Radicals

Week 9
Day 1 - Radical Equations
Day 2 - Imaginary Unit, Powers of i, Intro to Complex Numbers
Day 3 - Operations with Complex Numbers
Day 4 - Graphing Complex Numbers

Week 10
Day 1 - Absolute Value of Complex Numbers
Day 2 - Solving Quadratics with Imaginary Roots
Day 3 - Nature of the Roots 1
Day 4 - Nature of the Roots 2

Week 11
Day 1 - Functions and Relations
Day 2 - Domain and Range
Day 3 - Compositions of Functions
Day 4 - Inverse Functions and One-to-one Functions

Week 12
Day 1 - Transformations of Random Functions
Day 2 - Transformations of Absolute Value, Parabolic, and Square Root Functions 
Day 3 - Projectile Motion Word Problems
Day 4 - Average Rate of Change

I will post a lesson video and accompanying documents (classwork and homework) for the first four days of each week. Students are expected to watch the video and take notes on the material that is delivered. I will then prompt students to pause the video and work on the classwork problems independently. After they have done that, they can continue to watch the video and see my explanations for the classwork problems. This is a great way for them to assess themselves immediately and know where they are comfortable and where they need extra practice. 

After students complete the classwork and watch through the lesson video, they will be able to work on the homework for that day. I highly encourage students to submit their homework to me on each of the first four days of the week when lesson videos are uploaded. This allows me to give actionable feedback so they can learn from their mistakes and use what they learn when they view future lesson topics. 

On the fifth day of each week, I will post the solutions to the four homeworks from that week. Students can grade their own assignments at this time and reach out to me for further feedback if needed.

Since this is designed to be a flexible schedule course with no live meetings, we will not be meeting synchronously on a Zoom session. However, I encourage you to post any questions you have about each day's material (whether it be from the lesson, the classwork, or the homework) onto our classroom page so that I can assist you. In the past, I have found that students who are the most active on the classroom page in asking questions are the ones who get the most out of the course. Never be afraid to ask for help! And most importantly, have fun! Learning is only exciting as you let it be!
Learning Goals
Students will be able to:
- factor polynomials using several strategies
- solve quadratic equations using several strategies
- solve radical equations
- simplify and perform operations with complex numbers
- identify and work with functions
learning goal

Syllabus

6 Units
48 Lessons
over 12 Weeks
Unit 1: Mathematical Systems, Equations, and Inequalities
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

Other Details

Supply List
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
External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Joined January, 2023
4.9
22reviews
Profile
Teacher expertise and credentials
Master's Degree in Education from Columbia University - Teachers College
Bachelor's Degree in Mathematics from University of Massachusetts - Amherst
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 15 years. 

Reviews

Self-Paced Course
Share

$40

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

Completed by 1 learner
Choose your start date
Ages: 14-18

Enroll Now, Start Anytime
About
Support
SafetyPrivacyCA PrivacyLearner PrivacyManage Data PreferencesTerms
Financial Assistance
Get The App
Download on the App StoreGet it on Google Play
© 2024 Outschool