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Unit D Concepts 1-2: Completing the Square / writing quadratics in vertex form

Unit D Concepts 1-2: Completing the Square / writing quadratics in vertex form

Author: Crystal Kirch
Description:

 

Completing the square (a=1, a=not 1, fractions NOT  included)

Completing the square (a=1, a=not 1, fractions REQUIRED)

 

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Tutorial

Complete the circle, complete the triangle, complete the SQUARE!

 

This is a concept I never really understood when I was in high school because I didn't understand the purpose.  I hope by the end of this lesson you understand WHY this is an important skill to understand and why it's actually called completing the square.  And not completing the circle or something like that :)

 

 

To remind you:

Even though you may be saying, "Oh yeah, I got this"... PLEASE PLEASE PLEASE make sure to FULLY understand the details of this concept. It's MORE than just solving the problems in Math Analysis...

YOU MUST BE ABLE TO SOLVE, EXPLAIN YOUR THOUGHT PROCESSES, AND MAKE CONNECTIONS among these concepts that you have seen as "so easy" in the past.

Start yourself on the right path by taking even these "beginning concepts" seriously!

Unit D Intro

This video will introduce our goals and purposes for Unit D.

Source: Created by Crystal Kirch using Camtasia for Mac

Unit D Concept 1 - Completing the Square

This lesson will go over the process of completing the square, as well as the reasons why we need to learn this process. All of the problems in this section can be solved without having to use fractions (until the very end). Your answers must be put in both vertex (parent graph) form as well as solved (2 answers)

Source: Created by Crystal Kirch using Camtasia for Mac

Unit D Concept 2 - Completing the Square

This lesson will go over the process of completing the square when we have to deal with fractions in the beginning of the problem. Your answers must be put in both vertex (parent graph) form as well as solved (2 answers)

Source: Created by Crystal Kirch using Camtasia for Mac

SSS Requirements

 

Before moving on, please make sure the following problems from your SSS are complete and correct, as based on what I went over in the video. 

 

Page 2-3 #2,3,4,6,8,9

Practice Quiz (PQ) requirements

 

Before moving on, please complete the following PQ problems on your own.

  • These problems must be done on lined paper and labeled clearly with “Unit ___ Concept ___ Practice Quiz” at the top of each page.  PLEASE HIGHLIGHT THIS TITLE SO IT IS VERY CLEAR WHERE ONE ASSIGNMENT STARTS AND ENDS. 
  • You must show all work, all steps, and all thought processes for these assignments.  If you feel like you don’t need to show any work, you must explain your thought process in a few sentences.  No step by step work = no credit.
  • You must check your answers to the PQ problems (answers are on the last page of each SSS packet) and re-work through any problems you got wrong.

You must MASTER this material, so if you are getting them wrong, you need to figure out how to do them correctly.  Please contact me if you have a question (you can add a question at the end of this tutorial) and I can work out another example video for you.

 

​PQ 1-2 #1-17 odds 

(suggested that you also practice evens!)

 

Unit D Reflection (Concepts 1-2)

Please answer questions posed below correctly and completely.
You MUST re-watch the video if you don't know the correct answer.

Completely means:

1) Complete sentences
2) Detailed answers

Source: Created by Google Docs