English

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

Ms. Li
Average rating:4.9Number of reviews:(17)
In this self-paced 4-week course, we will be learning about how to work with complex numbers and functions. #academic

#### Class experience

###### US Grade 9 - 12
2 units//15 lessons//4 Weeks
`.css-8atqhb{width:100%;}.css-9tf9ac{margin-bottom:1em;}.css-7yk5b4{padding:16px;border-radius:16px;background-color:#F7F7F7;margin-bottom:16px;}.css-1py0ztu{display:grid;grid-gap:0;grid-template-columns:96px 1fr 195px;padding-left:16px;padding-right:8px;margin-bottom:16px;}@media (max-width:767.95px){.css-1py0ztu{grid-template-columns:96px 1fr;}}.css-r0s4vb{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;text-transform:uppercase;color:#7b2169;font-weight:700;}Unit 1.css-1kilzem{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.6rem;line-height:1.5;font-weight:400;letter-spacing:0;text-transform:none;color:#1A1a1a;padding-left:16px;padding-right:16px;line-height:24px;font-weight:700;}@media (max-width:767.95px){.css-1kilzem{display:none;}}Unit 5: Complex Numbers.css-1iz5s76{padding-left:16px;padding-right:24px;line-height:1em;text-align:right;}@media (max-width:767.95px){.css-1iz5s76{padding-right:16px;width:100%;}}.css-zjrce1{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;text-transform:uppercase;color:#004a77;margin-right:8px;font-weight:700;}7 lessons.css-1p5vpqy{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;text-transform:none;color:#5C5C5C;font-weight:700;}.css-1neeyhn{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;width:1em;height:1em;display:inline-block;fill:currentColor;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;-webkit-transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;font-size:inherit;vertical-align:-0.125em;text-transform:uppercase;margin-right:5px;}2 Weeks.css-ddr7uv{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;display:none;font-weight:700;}@media (max-width:767.95px){.css-ddr7uv{display:inherit;color:#1A1a1a;padding-left:16px;padding-right:16px;font-size:16px;}}Unit 5: Complex Numbers.css-1eswbhu{padding:16px;border-radius:16px;background-color:white;margin-top:16px;}.css-g8s3lw{display:grid;grid-gap:0;grid-template-columns:96px 1fr;margin-top:0rem;} .css-1ak6lo7{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;text-transform:uppercase;border-bottom:1px solid;border-color:#E0E0E0;color:#5C5C5C;padding:0 0 5px 16px;}@media (max-width:767.95px){.css-1ak6lo7{padding:0 0 5px 8px;}}Week 1.css-199df33{display:grid;grid-template-columns:96px 1fr 40px;grid-gap:16px;padding-top:8px;}@media (max-width:767.95px){.css-199df33{grid-template-columns:96px 1fr 28px;grid-gap:8px;}}.css-12h69r9{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.2rem;line-height:2rem;font-weight:500;letter-spacing:0.1rem;text-transform:uppercase;color:#004a77;line-height:24px;font-weight:700;}Lesson 1.css-t78n9j{color:#1A1a1a;}Lesson 34: Imaginary Unit, Powers of i, Intro to Complex NumbersLesson 2Lesson 35: Operations with Complex NumbersLesson 3Lesson 36: Graphing Complex Numbers Week 2Lesson 4Lesson 37: Absolute Value of Complex NumbersLesson 5Lesson 38: Solving Quadratics with Imaginary RootsLesson 6Lesson 39: Nature of the Roots 1Lesson 7Lesson 40: Nature of the Roots 2Unit 2Unit 6: Relations and Functions8 lessons2 WeeksUnit 6: Relations and Functions Week 3Lesson 8Lesson 41: Functions and RelationsLesson 9Lesson 42: Domain and RangeLesson 10Lesson 43: Compositions of FunctionsLesson 11Lesson 44: Inverse Functions and One-to-one Functions Week 4Lesson 12Lesson 45: Transformations of Random FunctionsLesson 13Lesson 46: Transformations of Absolute Value/Parabolic/Square Root FunctionsLesson 14Lesson 47: Projectile Motion Word ProblemsLesson 15Lesson 48: Average Rate of Change`
```Students will be able to:
- 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. `
`.css-1il00e6{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;gap:1em;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;}.css-k008qs{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;}.css-1do1xce{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;width:1em;height:1em;display:inline-block;fill:currentColor;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;-webkit-transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;font-size:inherit;vertical-align:-0.125em;text-align:center;width:1.25em;color:#368139;margin-right:0.5em;margin-top:0.2em;}.css-4j7l6r{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.6rem;line-height:1.3;font-weight:500;letter-spacing:0.01rem;}Homework Offered.css-l2z0vi{margin-top:0.5em;}Homework will be assigned after each lesson to reinforce the material that was taught for that class. .css-1smi110{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;margin-top:0.5em;margin-left:2px;}.css-1jafuj7{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;width:1em;height:1em;display:inline-block;fill:currentColor;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;-webkit-transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;font-size:inherit;vertical-align:-0.125em;margin-right:0.5em;margin-top:0.2em;color:#5C5C5C;}.css-1757vrz{margin:0;font-family:Ginto Normal,sans-serif;font-size:1.6rem;line-height:1.3;font-weight:500;letter-spacing:0.01rem;color:#5C5C5C;}4+ hours per week outside of class.css-mt1z2p{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;width:1em;height:1em;display:inline-block;fill:currentColor;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;-webkit-transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;font-size:inherit;vertical-align:-0.125em;text-align:center;width:1.25em;color:#A3A3A3;margin-right:0.5em;margin-top:0.2em;}Assessments OfferedGrades 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)
Profile
`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... .css-gw2jo8{position:relative;display:inline-block;font-family:'Ginto Normal',sans-serif;font-style:normal;font-weight:500;font-size:1.6rem;text-align:center;text-transform:none;height:auto;max-width:100%;white-space:nowrap;cursor:pointer;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;outline:none;border:none;background:none;padding:0;-webkit-transition:all ease-in-out 0.05s,outline 0s,;transition:all ease-in-out 0.05s,outline 0s,;line-height:1;color:#380596;}.css-gw2jo8:hover:not(:disabled),.css-gw2jo8:focus:not(:disabled){color:#380596;-webkit-text-decoration:underline;text-decoration:underline;}.css-gw2jo8:active:not(:disabled){color:#380596;}.css-gw2jo8:disabled{color:#C2C2C2;cursor:default;}.css-gw2jo8:focus-visible{outline-width:2px;outline-style:solid;outline-color:#4B01D4;outline-offset:2px;}`

#### \$40

weekly or \$160 for all content
15 pre-recorded lessons
4 weeks of teacher support
Choose your start date