## Lesson 4.7 - Quadratics and Complex Numbers

**Essential Question(s):**

How does the equation of a quadratic function determine the amount and types of roots?

**Follow the steps to complete your notes and review the content.**

**STEP 1: Preparation**

__Title__your spiral with the heading above,

__copy__the essential question(s), and draw your border line for the Cornell notes.

**STEP 2: Textbook**

__Answer__the follow questions by using your workbook.

__Read__more than enough to ensure a complete answer to the question.

Following a

__Cornell notes format__, the questions should be written in the left-hand column and with the answers to the right of the question.

Make sure to

__write enough to answer the question__.

__Problem 1__

- How many roots can a quadratic function have?
- What possible roots can a quadratic function have?
- What does the Fundamental Theorem of Algebra tell us?

__Problem 2__

- How can you determine the amount and types of roots without calculating them?

__Chapter Summary__

- Review on your own. Add any questions and answers you want.

**STEP 3: Mathia Spiral**

__Copy__down diagrams, expressions, and other essential work

__from problems that help illustrate the topic(s) covered__.

- Module 3 - All workspaces

**STEP 4: Self-check**

Perform a self-check after the lesson is completed in class by asking yourself the following question:

*"Can you*

__answer__the essential question(s)__completely__?"- Yes? Awesome job! You took
__effective notes__, and__paid attention__. You are on your way to success! :D - No? Ok. We all have struggles.
__Determine__why you said no, r__evise__your notes and self-check again.__Do not get discouraged__.