Outschool
Search

$38

weekly
or $150 for all content
Class
Play

Advanced Algebra 2 - Units 5 & 6: Complex Numbers and Functions - Self Paced

New class
Ages 14-18
Self-Paced Course
In this self-paced 4-week course, we will be learning about how to work with complex numbers and functions.
Average rating:
4.9
Number of reviews:
(22 reviews)

15 pre-recorded lessons
4 weeks of teacher support
Choose your start date
1 year of access to the content

Enroll Now, Start Anytime

Go at your own pace
Your learner can start learning when they want and progress at the speed that works best for them.
Start when you want.
Learn at your own pace
Access course material for a full year.
Get hands-on support from teacher.

What's included

15 pre-recorded lessons
4 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 4-week self-paced course, we will be learning about how to work with everything surrounding 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. Additional introductory Algebra II concepts should also be learned previously. For a thorough list of prerequisite topics, please refer to the description of my class listings titled "Advanced Algebra 2 - Units 1 & 2: Equations, Inequalities, and Factoring - Self Paced" and "Advanced Algebra 2 - Units 3 & 4: Rationals and Radicals - Self Paced". The topics for Units 5 & 6 are listed below:

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

Week 2
Day 1 - Solving Quadratics with Imaginary Roots
Day 2 - Nature of the Roots 1
Day 3 - Nature of the Roots 2

Week 3
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 4
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:
- perform operations with complex numbers
- solve quadratics with complex roots
- identify domain and range of functions
- evaluate compositions of functions
- work with inverse functions and 1-1 functions
- transform functions

Syllabus

2 Units
15 Lessons
over 4 Weeks
Unit 1: Unit 5: Complex Numbers
Lesson 1:
Lesson 34: Imaginary Unit, Powers of i, Intro to Complex Numbers
Lesson 2:
Lesson 35: Operations with Complex Numbers
Lesson 3:
Lesson 36: Graphing Complex Numbers
Lesson 4:
Lesson 37: Absolute Value of Complex Numbers

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.

Meet the teacher

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



Parents also liked
Master Algebra 2 Using Math-U-See (Part 1: Lessons 1-15)
Yolanda Stokes Pugh
4.9
(143)
$14 per class
Next session at 3 PM on Tue 8/26
Group Class
15 wks, 1/wk, 50 min
14-18
Prof Kitty's Algebra 2 Course | 2nd Semester | Booyah- I Get It! | Early Bird Sp
Professor Kitty BS ChemE-UVa; MBA-Case Western
5.0
(412)
$12 per class
Next session at 7 PM on Tue 1/6
Group Class
19 wks, 2/wk, 25 min
13-18
Master Algebra 2 Using Math-U-See (15 Weeks-Complete Course)
Yolanda Stokes Pugh
4.9
(143)
$14 per class
Next session at 3 PM on Mon 8/18
Group Class
15 wks, 2/wk, 50 min
14-18
High School Algebra - Your Way!
Lucy Hill, M.Ed.
$50 per session
1-on-1 Tutoring
On Demand
9-18
Vocabulary Workshop! 5th 6th | Complex Word Study | Reading Vocabulary Spelling
Leaves of Learning Academy
4.8
(916)
$17 per class
Next session at 10 PM today
Group Class
1/wk, 45 min
9-12
Group -Improve Writing - Create Better Sentences - Simple, Compound and Complex
Mrs D
$15 per class
Next session at 11 PM on Saturday
Group Class
8 wks, 1/wk, 30 min
6-11
Numbers 1 to 10 (Number Rods and Colored Beads) - Montessori Math
World Montessori Academy
4.9
(399)
$10 per class
Group Class
4 wks, 1/wk, 20 min
3-5
1. Improve Your Writing - Create Better Sentences - Simple, Compound and Complex
Mrs D
$50 per session
Next session at 10 PM on Saturday
1-on-1 Tutoring
On Demand
6-12
Writing Percent & Percent of a Number
Shay Conaty
4.9
(451)
$25 per class
Next session at 11 PM on Friday
Group Class
1 wk, 1/wk, 25 min
11-12
Numbers Everywhere! (Grades 3-5)
Teacher Michelle Lin E.dS Certified Educator!
4.9
(84)
$31 per session
1-on-1 Tutoring
On Demand
8-12
Multiplication & Division With Rational Numbers
Shay Conaty
4.9
(451)
$25 per class
Next session at 11 PM on Friday
Group Class
1 wk, 1/wk, 25 min
12-13
Book Club - Number the Stars
Ms. Michelle
5.0
(202)
$14 per class
Next session at 2 PM on Tue 7/8
Group Class
3 wks, 2/wk, 30 min
9-11
Multiplication With Multi-Digit Numbers by Two-Digit Numbers
Shay Conaty
4.9
(451)
$25 per class
Next session at 11:30 PM tomorrow
Group Class
1 wk, 1/wk, 25 min
9-11
Number Ninjas: Excelling in Basic Multiplication
Jessie - MEd. BEd. BA.
4.8
(151)
$6 per class
Next session at 5 PM on Saturday
Group Class
1/wk, 25 min
8-13
Addition & Subtraction With Rational Numbers
Shay Conaty
4.9
(451)
$25 per class
Next session at 11 PM on Friday
Group Class
1 wk, 1/wk, 25 min
12-13
Improper Fractions & Mixed Numbers
Shay Conaty
4.9
(451)
$25 per class
Next session at 11:30 PM tomorrow
Group Class
1 wk, 1/wk, 25 min
10-11
See More Classes
Home
Search
Give a Gift Card
Open currency, time zone, and language settings
Language & Region
Log In