Process

Section 1: Basics

1. Important Terms and Definitions

-Selected Resources:

Math Words Dictionary  

Math Is Fun - Definitions
 
Formal Math Dictionary
 
2. Illustrating Vocabulary
 
-Selected Resources:
Mathematics Dictionary with Illustrations
 
3. History of the Parabola
 
-Selected Resources:
 
General Timeline for Mathematics
 
History of the Parabola (Website 1)
History of the Parabola (Website 2)
 
4. Quadratics Basics Project
 
-Selected Resources:
 
Graphing Quadratics Overview
 
Graphing Quadratics Lesson
 
Quadratics in the Real World
 
More Examples of Real World Quadratics

Section 2: Solutions

Quadratics can be solved in a number of ways; some ways work better than others for different quadratic equations. 

Have you ever seen a crime drama?  There are specialists in blood splatter, firearms, special victims, etc.  Just like in detective work, there are specialists in particular topics in mathematics.  

Each member of your team will take on the role of "expert" in one or two different areas (#1-5) of solving quadratics equations.  Investigate your method(s) by using the attached websites (and others!) and create a 3-4 slide Google Presentation summary of your method in your Drive and share it with your group members.  If you have time, work on the problems in your section in the casebook. You will then share out your findings about your method(s).

Then, together as a group, complete each part and problem in your casebook as you look at your group member's presentations.


1. Graphing Method

Solving Quadratics by the Graphing Method

 

 2. Factoring Method

Solving Quadratics by the Factoring Method


3. Square Root Method

Solving Quadratics by the Square Root Method

 

4. Completing the Square Method

Solving Quadratics by Completing the Square

5. Quadratic Formula Method

Solving Quadratics by using the Quadratic Formula

 

6. Deciding on the Best Method

Which Method to Use?

 

7. The Discriminant and the Nature of Roots

Information on the Discriminant

 

 Section 3: Real World Applications

As we have already mentioned (and you have seen in the past), quadratics are everywhere.  They are extremely useful in describing motion, modeling velocity of objects, and predicting patterns in data.  The resources below will give you a detailed overview of the types of real world problems where quadratic modeling can be applied.  Watch the example videos and then work with your partners to answer section 3 of your casebook.

Example 1: Tossing a Ball