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Lesson 15.5 - Solving Quadratics with Complex Solutions

Picture
Essential Question(s): 

Why do quadratic functions have imaginary solutions and how to you find them? 


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
  1. What are the possible solutions to a quadratic function? (page 1114 - 1116)
​
Problem 2
  1. What if a quadratic function has no real solutions? (page 1117)
  2. Graphically, how do you know what kind of roots a quadratic has? (page 1117)
  3. How do you find imaginary roots of quadratic functions? (page 1117 - 1118)
  4. Algebraically, how do you know what kind of roots a quadratic has? (page 1118)


Chapter Summary
  • Review the summary and add additional notes as needed.

STEP 3: Cognitive Tutor spiral
Copy down diagrams, expressions, and other essential work from problems that help illustrate the topic(s) covered.
​Make sure to address the question(s) below.
Be selective with what you choose to copy down.
  • Module 7 Unit 3

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, revise your notes and self-check again. Do not get discouraged. 
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RMHS - MATHEMATICS - MS. STEVENSON - ROOM 603
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