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After finding the sign chart for your polynomial, first, and second derivatives you may lose sight of what they all represent.
The sign chart of your polynomial will tell you when your function value, f(x), is above (positive on sign chart) or below (negative on sign chart) the x-axis.
The sign chart of your first derivative tells you when your function is increasing (positive on first derivative sign chart) or decreasing (negative on first derivative sign chart).
The sign chart of your second derivative tells you when your function is concave up (positive on second derivative sign chart) or concave down (negative on second derivative sign chart).
0:00 Introduction
0:25 Interpreting the Polynomial Function Sign Chart
1:54 Interpreting the First Derivative Sign Chart
3:28 Interpreting the Second Derivative Sign Chart
4:30 Four possible combinations of First and Second Derivative Sign Chart patterns
4:42 Making sense of all three sign charts together
7:12 Using the template found using the sign charts in unison with graph of polynomial
#polynomial
#polynomialfunctions
#signchart
#joecmath
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
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What Is Checkmate? | Definition and Meaning | Learn to Play Chess
The most important word associated with chess is checkmate. It is how a player either wins or loses the game. Therefore before you explain the other rules of chess to kids, start with the most basic knowledge of checkmate, so that they know what they need to know in order to win the game.
You know about CPR, capture protect runaway. If the king cannot get out of CPR situation it means checkmate. In simple words, if the king is being attacked and it cannot save itself in any way we say its checkmate and the game is over.
Since in chess we do not capture the king so checkmate means that it is the turn before we would capture the king, which simply means the king is trapped and there is no way out.
Let me explain this through the example above.
In this position, the queen is at b7 attacking the black king. The black king cannot protect or run away from here. However, the king can do a capture move from here.
The black king can easily capture the queen from here and save itself from checkmate.
However, if we make little changes in the arrangement of this board.
Now the black king has no place to run away, neither can it protect itself nor it can capture the queen. Because now the queen is being protected by the white king. Therefore there is no way that the black king can now attack the queen. This brings the black king in a checkmate situation. Now there is no way that it can save itself. Hence now this would be called a checkmate and it is game over.
You can set many different examples on your chess board to better explain the concept to the kids to make it more interesting for them. This online chess session is extremely helpful for kids and can be used as chess lessons for beginners.
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It's Kids Academy and welcome back to our channel! Today we are talking about types of communities. What is a community? What are the 3 types of communities that exist? What are the distinguishing characteristics of urban, suburban, and rural communities? What do the words "commuting" and "amenities" mean? The answers to these questions are in this video! Enjoy your viewing!
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Learn English Punctuation for Kids: Period, Exclamation Mark, Question Mark
English punctuation for kids is a very important grammar lesson. It forms the basics of sentence structure and its understanding. It is very important to learn English for the kid and for the kid to have a clear understanding of using the right punctuation marks in their sentences.
Beginning with the very basics, let's learn about the ending punctuations for kids in this lesson. Ending punctuations are the punctuations that are used at the end of the sentences. It helps to understand the meaning of the sentence, where the sentence is ending and what is the sentence trying to say.
There are three most common ending punctuation marks used:
1. Period(.)
2. A question mark(?)
3. An exclamation point(!)
Most of the sentences end with a period. It marks the end of the sentence. For example:
1. The car is red.
2. I have a book.
3. He is reading.
4. This is an apple.
Sentences which are enquiring about something and are asking a question end with a question mark. For example:
1. Is this your book?
2. Do you have a pen?
3. Are you Jack?
4. How old are you?
The question mark answers the following questions:
1. What?
2. Why?
3. Where?
4. Whom?
5. When?
6. How?
Another very commonly used ending punctuation mark is the exclamation point. It is used when the sentence is trying to express a feeling.
For example:
1. Wow, that car goes really fast!
2. I am going to a big party tonight!
3. I love my new shoes!
4. That is my favorite color!
See how these sentences portrayed some feelings of excitement and joy.
These early punctuation lessons are very important and the kid must have a strong grip on these in order to be good at the upcoming grammar.
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It's Kids Academy, and welcome back to our channel! In this video, you will see how to use educational worksheets for kids that help them start their learning journey! Here you will find a range of activities on learning word families and also you will learn what plants need to grow. It's ideal for preschool and kindergarten. Enjoy your viewing!
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Learn Sides and Shapes | Math for Kids | Geometry | Kids Academy
A shape is defined as the form or the outline of an object. It can also be defined as the boundary of an object and the kind of pattern it follows. It is a basic property of every object just like its other properties like color, texture, size etc.
Different objects follow different patterns of these boundaries. These patterns have been given different names. Shapes for kids is a very important lesson, so we have made this educational video for kids.
For example, a pattern which has four equal sides is referred to as a square. A pattern with round is referred to a circle. Similarly, there are other shapes like a rectangle, triangle, cone etc. Each object is categized based on its shape. These shapes have been made for the understanding of man and to make a sense out of things. Every object in this universe has a shape just like earth is a sphere and a ball is a circle.
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Help your child learn adjectives with this teacher-guided video tutorial, perfect for kids who love Halloween! Allow our teacher to assist your child through the spooky maze on the Halloween adjective hunt worksheet. Our teacher will define each term to help your child pick out the describing words that will complete the maze.
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This video will help your child:
- Understand and identify adjectives
- Understand the difference between adjectives and other parts of speech
Learning grammar is tough, but it’s easier to learn when it’s fun! Better yet, let our teacher show your child the way in this fun video tutorial from Kids Academy!
Basic Sentence Structure - Grammar for 1st Grade - Learn Adjectives for Kids
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Rhythm and music are one of the best ways to enhance learning, it makes learning easy for kids. Kids find them much more fascinating and interesting. The rhyming makes things fun for them and the song is always easy to remember.
Nursery rhymes for kids are a must. Kids have been learning them for generations and they continue to be a part of the education curriculum. There are many nursery rhymes that have been made over the years, but a few have made a permanent place in every child’s life and remains with them for the rest of their lives. You remember a few rhymes from your school, too right?
Well now if you are a teacher or a parent and want your child to sing some nursery rhymes, you must choose the best ones. And let me tell you the famous and the best nursery rhymes lyrics 2018.
1. Hickory Dickory Dock
It is one of the oldest nursery rhymes being taught to kids. It is very interesting to the kids as it involves many characters like bear, parrot, pig, elephant, monkey which are very fun animals for kids. It is a very informative rhyme as well which helps the kids to learn animal names very easily and without any effort.
2. The week names
If you are struggling with your kid in helping them memorize the day's names this rhyme can make things very easier for you and the kid also. It has a very easy to learn rhythm and kid can grasp to it very quickly.
3. Roll over, roll over
A perfect nursery rhyme to learn the numbers backward. It would be even better if you also play the video of it. It was very interesting and colorful animation which will also help the kid understand the concept of backward counting. It is a great rhyme for learning as well as for fun.
4. Baa, baa, black sheep
Baa, baa, black sheep have you any wool? This famous rhyme has many interesting characters in it. The black sheep, and the boy who lives down the lane and wants some wool from the sheep. It’s a whole story in itself. It has the perfect rhythm and is very fun to sing like a song which makes it very easy for the kid to learn it very quickly.
These are some of the most famous nursery rhymes. They help in both learning and developing a sense of rhythm in a child, and they are great for fun too.
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Hello, first of all we want to congratulate you all on the upcoming holidays. This is a Kids Academy and we have prepared for you a new song for children Snow Song.
You know that Christmas and New Year are coming soon, so let's sing a children's song about snow together. Good and happy holidays to you!
Snow! Everywhere I go!
Welcome to USA, Brazil, India, United Kingdom, Philippines, Australia, Canada
When wintertime strikes
and windows are icy
I look out and i see
a magical, fantastic
land of snow
I’m rushing outside
the sun and the blue sky
completely seduced by
a magical, fantastic
land of frozen light
Snow!!!
Everywhere I go
Snow!!!
Winterland, hello
I love it so!
Oh – oh -oh -ohoh -oh -oh
This magical, fantastic
land of snow!
and about ten o’ clock
time for a break in a log hut
a nice cup of hot chocolate
sugar cream and
marshmallows on top
then back to the snow
we’re building a snowman
right here in his home land
a magical, fantastic
winter wonderland
Snow!!!
Everywhere I go
Snow!!!
Winterland, hello
I love it so!
Oh – oh -oh -ohoh -oh -oh
This magical, fantastic
land of snow!
skiing
slading
racing
up and down the hill
how i
love to
play around in the snow
Snow!!!
Everywhere I go
Snow!!!
Winterland, hello
I love it so!
Oh – oh -oh -ohoh -oh -oh
This magical, fantastic
land of snow!
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Letter K | Learn the Alphabet | Kids Academy
Show Them The Letter First
First, work on the visual representation of the letter “K” and for this, you need to show the kids the letter written somewhere.
Show Them How To Write The Letter “K”
Once you are done painting an image in the child’s brain of the letter “K”, you then have to teach him how to write it from scratch.
Note: You can use different colors and crayons etc to make the letter “K” more interesting for the kids.
Teach Them The Sound Of The Letter “K”
“K” is the letter that comes with little to no vibration and you cannot stretch the sound of this letter like the other letters. “K” comes with two sounds;
-It can sound as “Kay”
-It can sound as “Khey”
You can teach them both the sounds with the help of some examples.
This is the process of teaching your little one the letter “K”. Just follow these steps and make sure to be patient while your kid is trying to learn these letters and understand you.
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Solving a word problem by identifying people in terms of shortest and tallest shouldn’t be too tricky for kids, since height is just another mode of measurement. Help your child break down seemingly tough word problems, and flex logical reasoning skills using this intriguing teacher-led video!
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While watching, our teacher will help your child:
- Solve the word problem by drawing a picture or diagram
- Check answers for accuracy after completion
With the right strategies at your child’s fingertips, word problems don’t have to be difficult to solve. Give your child the tools needed for problem-solving success!
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Subtracting Within 100 | Base Ten Blocks and Standard Subtraction | Kids Academy
Tens and ones are the basic building blocks of subtraction. It makes subtraction a lot easier for the kids to learn. The concept is pretty simple. We have two categories, the tens and the ones.
In a two-digit number, the number on the left side is the tens and the number on the right side is the ones. When you have to subtract two numbers, you put tens under tens and ones under ones of both numbers.
So how does the kid learn this? Let’s make it simpler for them. You can draw a line with ten blocks and refer to it as tens, while the single blocks will be the ones. To subtract we will count the number of tens and the number of one's blocks in the picture and make a question. Similarly, the tens and the ones of the number which has to be deleted will be placed under the previous number respectively. And then we do the simple subtraction.
And that’s simply how you will know the answer which is correct. You can also use some toy blocks to make it more interesting for the kid while making the concept easier for them. Kids learn better with the things that they can relate and there is nothing better than their toys to make them learn.
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How to Achieve Checkmate in 2 Moves | Chess Lessons from Professional Coach
Chess is one of the best possible games on the planet Earth and no one can argue with this fact which is why if your little one is always busy in playing chess then let him because this is just helping him with his cognitive development.
On the other hand, if you are someone who still doesn’t know how to play chess properly then first, you should opt for online lessons and Youtube tutorials because these actually work. But if videos aren’t your thing then you can always hire a professional coach and learn to play chess from him.
Now, the reason why you are here is probably that you want to know how to achieve Checkmate in 2 moves and how to impress the other person by winning the game real quick. Well, if that’s the case then yes, you are at the right place, reading the right content because we are going, to sum up how you can achieve checkmate in 2 moves.
➔ First, your opponent will be opening by moving the pawn to f4 and this will ultimately open the diagonal of the king for you where you can see one of his weaknesses.
➔ Now, this is where you need to be careful and move your pawn to e6 to make some space for the bishop and the queen to move.
➔ Now, chances are that your opponent will move his pawn to g6 which will further open up the king’s diagonal for you.
➔ All you need to do know is to move your queen to h4 and check the king.
➔ This is how you win the chess game real quick!
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Welcome our new video: Fact Family Multiplication and Division | Math | 3rd Grade
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Personality Adjectives - Building Vocabulary - 3rd Grade
Some adjectives have a lot of personality! Let’s learn about positive character adjectives while watching an expert teacher thoroughly define each word! This video tutorial will expand your child’s vocabulary and grammar usage while he or she studies adjectives.
Watching this video will benefit your child because:
- New vocabulary becomes relatable with a teacher to explain each term
- Your child will gain a better understanding of adjectives that describe traits
While your child watches, he or she will learn about adjectives, build vocabulary, and learn about positive traits and emotions important to everyday life!
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Solving division word problems can be a tricky task. Let Kids Academy help with an easy-to-understand video tutorial that features a real teacher to explain every step! While watching, your child will view a detailed teacher-led demonstration to help support a deeper understanding of division. After each problem, your child will review how to check answers using skip counting!
Watching this video will increase your child’s:
- Understanding of division using pictures and realistic scenarios
- Ability to double check answers for accuracy
Show this video to grow your child’s confidence and independence in completing and checking tough division word problems!
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It's Kids Academy, and welcome back to our channel! In this educational video for kids, we will read aloud children fairy tale "My friend the dragon". This story for kids is about kindness and friendship. More interesting short stories and nursery rhymes you can find on our channel. Stay tuned!
My Friend the Dragon
Once upon a time, a huge dragon lived on an island in the blue sea. When he was swimming in the sea, all the fish hid away from him.
Sometimes the dragon came ashore near a fishing village. He liked to sit on the rocks there.
Every time people saw the dragon, they ran away in fear. For them, he looked very big and scary.
The dragon got used to being alone, but once on the shore he saw a girl. The girl was surprised to see everyone else flee from him.
“Where are they running?” she asked.
“For cover,” said the dragon. “They are afraid of me.”
“Oh, are they,” the girl said. “Are you that evil?”
“No, I’m kind,” he said, “But people prefer to keep away from dragons. That is why I have no friends. I feel so lonely.”
“Well,” said the girl, “If you’re a kind dragon, I can be your friend.”
From then on, they would often walk along the shore and throw colorful pebbles into the water.
One day they saw a fishing boat sinking in the sea. The people on the boat were shouting out for help.
“Our neighbors are in trouble!” cried the girl. “Dear dragon, please, help them!”
The dragon dived into the sea and brought the boat back to the shore on his big back. The rescued fishermen thanked him warmly for his help.
From that day forward, people were no longer afraid of the dragon.
