Polynomials - what kind, what degree

A variable is a letter that represents a number.
Since it can represent different numbers at different times and will not always represent the same number, it is called a variable.

A variable with a zero power equals 1.
xº = 1
When a number is written without a variable, the invisible variable has a zero power.
So 8 is the same as 8xº which is the same as 8 x 1.

Variables written without a visible exponent are understood to have the exponent of 1.
x = x¹
This does not equal 1 unless the variable is equal to 1.
The value of this term, or monomial, is whatever the value of x is.
If x = 7, then x¹ will equal 7.

Watch these videos first:
Embedding on these videos was disabled, so you'll need to click on the links to view.
►Degrees and Types of Polynomials, part 1 , part 2
►Degree of a polynomial if the terms have more than one variable.

A little more advanced in this video, but very well explained.

►Interactive lessons -- may be best to do after viewing the videos here.

Click Unit 5, Lesson 22, Play Lesson, Introduction to Polynomials.  

You may read along with the lesson in the left sidebar.

Note:  Lesson does not seem to work in Safari browser.

Adding and Subtracting Polynomials

(1) Adding polynomials


(2) Adding polynomials with multiple variables




(3) Subtracting Polynomials


(4) Subtracting Polynomials with multiple variables



(5) Adding and Subtracting Polynomials - very good video

►Interactive lessons -- may be best to do after viewing the videos here.

Click Unit 5, Lesson 22, Play Lesson, Adding and Subtracting.  

You may read along with the lesson in the left sidebar.

Note:  Lesson does not seem to work in Safari browser.

Order of Operations

(1) from Khan Academy



(2)Part 1
Professor Perez and Charlie



(3) Part 2
Prof. Perez and Charlie


(4) PEDMAS with stuff like this:  3(5-1)² ÷ 2

Apologia Biology, Module 16, Reptiles, Birds, and Mammals

M16 Recap blog post at Sahm-I-Am
Quizlet Vocabulary Game, M16


Not my favorite post of the year -- seems a little dull. (sorry!) But there's just not a lot of videos to be found without evolution in them! And very few that are really informative that have anything to do w/ this module.
Also, it's a pretty basic module I think. The second half of Biology is definitely easier than the first!  Yay! =D

(1) p. 495-498a, Class Reptilia
Reptiles and Amphibians, Part 1
Reptiles are ectothermic because they are cold-blooded.  They must warm themselves from the outside (by the sun, usually).  Ecto- means outer, thermic means heat.

►More if you want it:  Part 2, Part 3




(2) p. 499, Order Rhynchocephalia
A tuatara with its "third eye" atop its head.

(3) p. 499c-503, Order Squamata
Squamates - lizards and snakes





(4) p. 503-504a, Order Testudines
Learn the differences between turtles and tortoises.

(5) p. 504, Order Crocodilia
► Crocodiles vs. Alligators.  What is the difference?
Crocodiles:  V-shaped snout, thinner than an alligators, most/all teeth show when mouth is closed.

Alligators:  U-shaped snout, thicker than a crocodiles, only front teeth show when mouth is closed.

►More about alligators at Answers in Genesis



(6) p. 505-507, Dinosaurs


► More about dinosaurs at Answers in Genesis (FF up to 1:45)



(7) p. 507-509, Class Aves (AY-vees)
Think of aviation to help you remember how to pronounce aves.  =)
How wings work:


Bird Flight animation


►Usually in the spring at Norfolk Botanical Gardens, there is a live web feed of Eagles and Eaglets.  Watch a couple of videos and read more at Sahm-I-Am.
►Not for the faint of heart -- Atlas of Avian diseases; study bird embryos.

Experiment 16.1, Bird Embryology





(8) p. 520-526, Class Mammalia

"What separates us from the rest of the mammals...?"
We are made in the image of God!  =)