As long as you have factored your polynomial completely, making a sign chart of the base function, first derivative, or second derivative of a polynomial follows a similar process every time.

A walkthrough of the process if shown first in the video followed by a list of steps that were followed to help one reproduce a sign chart on their own.

0:00 Introduction
0:21 Polynomial used in video
1:01 Finding the x-intercepts of polynomial
1:57 Breaking up number line using zeros (x-intercepts)
2:20 Picking test points from each interval on number line
2:49 Plugging test points into the binomials
3:50 Understanding the row of signs in a sign chart
4:39 Getting the final sign for each section
5:49 Interpreting the sign chart
6:44 Reviewing the steps for creating sign chart

#polynomials
#signchart
#polynomial
#JoeCMath

Graphing a horizontal line of the form y=a where "a" is as easy as finding the value "a" on the y-axis and drawing a horizontal line at that location. It can be easy to confuse y=a with x=a, but remember that y=a is the equation for a horizontal line.

Some images made using Geogebra.

#HorizontalLines
#Graphing
#JoeCMath

0:00 Introduction
0:09 Graphing y=1
1:41 Graphing y=-2, y=-1, y=0, and y=2
2:00 Every subscription matters

The graphs of x=a or y=a can be confusing. The graphs of x=a equations will be a vertical line while the graphs of y=a equations will be a horizontal line.

Some images made using Geogebra.

#VerticalLines
#Graphing
#JoeCMath

0:00 Introduction
0:12 Graphing x=2
1:53 Graphing x=-3, x=-2, x=-1, x=0, x=1, and x=3
2:11 A waste of my time -JoeCMath

Getting from JoeCMath 1.0 to JoeCMath 2.0 by improving math video quality!


I have been happy with my production style so far, but feel that I can and should still improve the quality of my videos. There is a Math YouTube channel 3Blue1Brown, created by Grant Sanderson, that hosts easily the best math videos on YouTube. Naturally, I have been researching how Grant accomplishes this and it turns out it is through a collection of Python and other various files that he calls Manim.

For my 100 subscriber video, I spent time learning some of the basics of Manim and put together my first video using it. I am excited about the future Manim videos that I create, as they can only improve from here!

#100subs
#QualityFocused
#FirstManimVideo
#JoeCMath

0:00 Introduction
0:20 Improving Quality of Videos
1:22 What is Manim?
2:17 Thanks for subscribing!!!

First off, I'd like to thank everyone that has subscribed and supported my channel in it's first year on YouTube. I had set some rather crazy goals that I fell short of but allow me to better plan out 2021 and future years.

I was surprised that there were a decent number of people that were sharing my content in the first year! This channel is something I have had knocking around in my head ever since 2015 (after tutoring math non-stop for four years and teaching for two years), and so I am mostly proud of just finally getting started.

I am quite excited about the future of this channel! Let's make 2021 a great year!

#FirstYearOnYouTube
#JoeCMath
#YouTubeGoals

0:00 Introduction
0:10 2020 YouTube goal review
0:52 2021 YouTube Goals
1:34 My focus in 2021
2:20 Going over share data for 2020
3:12 Conversation about 2020 videos that had good views

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Kids Academy Talented and Gifted Program is designed for kids aged 2-10. Explore it on:
App Store: Download Now
Google Play: Get It Here

Stay connected with us:
Our Site: Kids Academy
Facebook: Kids Academy Company
Twitter: @KidsAcademyCo

Learn how to memorize how many days each month has.
In this video, I show two different short cuts to memorize the number of days each month.

Method number 1 uses your fists. If you count the ridges of your fist the months touching the ridges have 31 days and all others except February which has 28 days have 30 days.

The other method involves memorizing a simple poem.

Learns learn why vertical lines have undefined slopes. Slope is defined as rise over run. When you have a vertical line you end up with a zero as a denominator which causes an undefined slope.

Detrivores are heterotrophs that feed on decaying organic matter in an ecosystem. Common examples of detrivores include worms and millipedes. Without decomposers and detrivores, the earth would be covered up with dead organisms.

X-linked inheritance involves traits found on the x chromosome.
Humans have 23 pairs of chromosomes. Females inherit two x chromosomes and males inherit an x and y chromosome.
The x chromosome has many more genes than the y chromosome. As a result, you get what is called an x-link trait.
In this video, I show a Punnet square of an x-link chromosome and why males may inherit the trait more often than females.

Learn how to add and subtract decimals. Addition and subtraction of decimals is easy if follow these four steps.
1. Line up the decimals
2. Use zeros as placeholders
3. Add and Subtract
4. Bring down the decimal

Igneous rocks are created when molten rock cools either on the earth's surface or slowly inside the earth.

Rocks that are created from magma that reaches the surface are called intrusive or volcanic igneous rocks.
Rocks that are created inside the earth are called plutonic or intrusive rocks.
In this video provide video and information about,
obsidian
Granite
Basalt
Scoria
Rhyolite