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Unit C Concepts 1-3: Operations with Functions (Add, Subtract, Multiply, Divide!)

Unit C Concepts 1-3: Operations with Functions (Add, Subtract, Multiply, Divide!)

Author: Crystal Kirch
Description:

 

Adding and subtracting functions

Multiplying functions

Dividing functions

 

(more)
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Tutorial

Adding, Subtracting, Multiplying... don't leave out dividing!

 

Oh, did you think we were dealing with just numbers??? Nope!  We are dealing with algebraic EXPRESSIONS! Woo hoo!  Remember those phrases like "combine like terms", "distribute the negative", "FOIL"?  Yep, they are coming back :)

 

 

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 "easy concepts" seriously!

 

Unit C Intro

This video will introduce our objectives and concepts for Unit C.

Source: Created by Crystal Kirch using Camtasia for Mac

UNIT C CONCEPT 1 - PART 1

This video will review adding and subtracting functions. You will see a new notation you need to be familiar with.

Source: Created by Crystal Kirch using Camtasia for Mac

UNIT C CONCEPT 2 - PART 1

A review of multiplying functions using both the FOIL method as well as a new method called "the box". Make sure you know how to use both methods!

Source: Created by Crystal Kirch using Camtasia for Mac

UNIT C CONCEPT 3 - PART 1

This lesson will review dividing functions, but with a bigger focus on finding the resulting domain of the quotient (reviewing PREO from Unit A Concept 9)

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 #2,3,5,6

​Page 3 #2,3,4

​Page 4 #2,3,6

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 #1-4

​PQ 2 #1-4

​PQ 3 #1-4

Unit C Reflection (Concepts 1-3)

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