HavenHub Math • Edition 1
"Learning the Language of Quantity"
Welcome to the Garden.
In the beginning, God brought the animals to Adam. He brought the lion, the eagle, and the sheep. He waited to see what Adam would call them.
Adam looked at the lion—its golden fur, its mighty roar—and he said, "Lion." He gave it a name that matched what it was.
In this book, you are going to do the same thing. But you are not naming animals. You are naming Amounts. When you see three stars in the sky, you will learn to say the name "Three." When you see a pair of shoes, you will say "Two."
Math is simply the language we use to name the amount of stuff God has made.
Have you ever been called by the wrong name? Maybe someone called you "Sarah" when your name is "Emma." It feels strange, doesn't it? Names matter. They tell the truth about who we are.
Numbers are the same way. When you see four apples and call them "Five," you have told a lie about the apples. You have called them by the wrong name! In math, we always want to tell the truth. We want to look at a group of things and give them the right name.
This is holy work. God Himself is a God of truth. He never lies. When we learn to name amounts correctly, we are practicing being like Him.
Think about reading. You have 26 letters in the alphabet: A, B, C, D... all the way to Z. With those letters, you can write any word in the world: "Cat," "Dog," "Love," "God," "Hippopotamus."
Math has an alphabet too. But here is the amazing secret: it is much, much smaller! There are only Ten Symbols in the whole universe of math. We call them Digits.
The word "digit" comes from an old Latin word that means "finger." And guess what? You have exactly ten fingers! This is not an accident. God designed your hands to be the perfect counting tool.
Here they are—the ten symbols that can write any number, from the number of toes on your feet to the number of stars in the Milky Way galaxy:
That's it! Just ten friends. Learn their names, learn their faces, and you can read any number in the entire world.
Each digit has a special shape. These shapes are not random—they were designed by people long ago to be easy to write and easy to remember. Let's meet each one and learn a little picture to help us remember what they look like.
He stands straight and tall, at attention. He is first in line. He never leans or wobbles. When you write a 1, make him proud and straight like a soldier standing guard.
Look at her curved neck as she floats on the water. Her head curves around at the top, her neck bends gracefully, and her body makes a flat line at the bottom where she sits on the pond.
She has two wings—one on top and one on the bottom. Both wings curve to the right, as if she is about to fly away. Some people say Three looks like a sideways letter "E" with round bumps instead of straight lines.
He has a tall mast going up and down, and a diagonal sail catching the wind. The little line across is like the boom holding the sail in place. Four is ready to sail across the sea of numbers!
He has a flat cap on top of his head (the horizontal line), a straight neck going down, and a big, round belly at the bottom! He ate too much dinner. Five starts at the top right, goes left, drops down, then curves around his tummy.
He has a curly shell at the bottom where he hides, and a little neck reaching up at the top. When you write a 6, start at the top and curl all the way around into the shell. The snail is curled up tight, resting after a long journey.
He stands on one leg and points the way forward. The flat line at the top is like an arrow pointing to the right, and the diagonal line is the post holding it up. Seven says, "This way to the next number!"
One snowball stacked on top of another! The top circle is his head, and the bottom circle is his body. When you write an 8, you can make one big curvy "S" shape, or you can draw two circles stacked together. Either way, he looks like a friendly snowman.
A round circle floats high in the air, tied to a string that hangs down. The circle is the balloon, and the line is the string you hold so it doesn't fly away. Nine looks like an upside-down 6—the snail flipped over and became a balloon!
It is round and smooth, with nothing inside. The shell is there, but the egg is hollow. Zero is the number that tells us "nothing is here." We will learn much more about this special number in the next lesson!
God gave you a calculator that you can never lose. You can't leave it at home. You can't forget to charge it. Look at your hands. Wiggle your fingers.
How many fingers do you have? Ten.
This is why we have exactly ten digits! People all over the world—in China, in Africa, in South America—all have ten fingers. So we all agreed to use ten symbols for our numbers. Your hands are always with you, ready to help you count.
5 + 5 = 10 fingers = 10 digits!
Hold up your hands. Touch each finger one at a time as you say the digit names: "Zero, One, Two, Three, Four, Five, Six, Seven, Eight, Nine." (We start with Zero because we can show "no fingers" by making two fists!)
Hold out your hands. Cup them together like a bowl. Now, tell me... what is in your hands?
Nothing.
In English, we say the word "Nothing." But in Math, we have a number for nothing. It is called Zero.
Some people think Zero is not a "real" number. They think it doesn't count because it doesn't stand for anything. But they are wrong! Zero is one of the most important numbers of all.
Imagine if you had no way to say "I have no apples." What would you do? You would just have to be silent. But silence doesn't tell the truth—it leaves the question unanswered!
Zero lets us tell the truth about what is not there. It completes our language. Without Zero, we would have a hole in our number vocabulary.
Look at the shape of 0. What does it look like to you?
The round, hollow shape of Zero reminds us that it means "empty" or "none."
The Bible tells us that God created the world ex nihilo—that is Latin for "Out of Nothing."
Before the stars, before the sun, before the mountains and the oceans... there was Zero things. Nothing existed except God Himself.
Then God spoke. He said, "Let there be light." And suddenly, there was One thing—light! The numbers began. Creation had started.
Zero is the silence before the song. It is the blank page before the story. It is the darkness before God said "Light!" And then the counting begins: 1, 2, 3...
Zero has another very important job. It holds a place when a spot is empty.
Look at the number 10. What do you see?
Without the Zero, we would just write "1." But "1" means something different than "10"! The Zero holds the place so we know the 1 is in the "tens" spot, not the "ones" spot.
1 vs. 10
These are NOT the same! Zero makes all the difference.
Think about a hotel with numbered rooms. Room 1 is on the first floor. Room 10 is on the first floor too, but it's the tenth room! Room 101 is on a different floor entirely. The zeros tell us which floor and which room we're talking about.
Look around the room. Can you find something you have zero of? Maybe you have zero elephants, zero dinosaurs, or zero rockets. Practice saying, "I have zero ___."
We have learned the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Count them—that's ten symbols!
But what happens when we find one more thing after nine?
We run out of single digits! There is no special symbol for "ten." We don't have an eleventh finger to invent an eleventh digit.
So what do we do? We do something brilliant. We make a Bundle.
Imagine you are collecting sticks in the forest. You find one stick... two sticks... three sticks... You keep picking them up: four, five, six, seven, eight, nine sticks!
Now you find one more stick. You have ten sticks total. But they are loose and messy. They fall out of your arms. They poke you. It is hard to carry them!
So you take a piece of string and tie all ten sticks together. Now you have One Bundle.
| | | | | | | | | | → [||||||||||]
10 loose sticks become 1 neat bundle!
Do you still have ten sticks? Yes! You didn't lose any. But now they act like One Thing. You have One Bundle of Ten.
This is how we write the number 10:
The numbers that come after 10 are called the Teens. They are just a Bundle of Ten plus some extra friends who didn't fit in the bundle.
| 11 | = | 1 Bundle + 1 loose stick | (Eleven) |
| 12 | = | 1 Bundle + 2 loose sticks | (Twelve) |
| 13 | = | 1 Bundle + 3 loose sticks | (Thir-teen) |
| 14 | = | 1 Bundle + 4 loose sticks | (Four-teen) |
| 15 | = | 1 Bundle + 5 loose sticks | (Fif-teen) |
| 16 | = | 1 Bundle + 6 loose sticks | (Six-teen) |
| 17 | = | 1 Bundle + 7 loose sticks | (Seven-teen) |
| 18 | = | 1 Bundle + 8 loose sticks | (Eigh-teen) |
| 19 | = | 1 Bundle + 9 loose sticks | (Nine-teen) |
Listen carefully to the names of these numbers. Do you hear something hiding inside?
Four-TEEN. Fif-TEEN. Six-TEEN.
The word "teen" sounds like "ten!" When you hear "teen," think "ten." These numbers are telling you: "I have a ten inside me!"
The numbers 11 and 12 are a little sneaky. Their names don't follow the pattern!
Eleven doesn't sound like "One-teen." And Twelve doesn't sound like "Two-teen."
These are very old words from languages spoken long, long ago. People were still figuring out how to talk about numbers! Just memorize these two special names:
After 12, the pattern begins: Thirteen, Fourteen, Fifteen... and so on.
Get 15 small objects (like beans, buttons, or LEGO bricks). Count out 10 and put them in a pile—this is your "bundle." Now count the loose ones left over. How many? That's right—5! You have 1 bundle and 5 ones. That's 15!
After 19, something exciting happens. You have one bundle... and 9 loose ones. What if you find one more?
Now you have 10 loose ones. But wait—that's enough for a new bundle!
So you tie up those 10 loose ones into a second bundle. Now you have:
We write this as 20. The 2 means "two bundles." The 0 means "zero loose ones."
We call this number Twenty. And the pattern continues: 21, 22, 23... all the way up!
When you write a number, you are making a picture that tells someone the truth about an amount.
What if you wrote a sloppy "5" that looked like a "3"? Someone might read your number and think you meant three, not five. You would have told a lie about the amount—not on purpose, but because your picture wasn't clear!
We want to be truth-tellers. We want our numbers to be clear and easy to read. This takes practice, but it is worth the effort.
Here is the secret to good number handwriting: Almost every number starts at the top.
Just like rain falls from the sky to the ground, your pencil should start high and move down. This makes your numbers neat and consistent.
Start at the top. Pull straight down to the bottom. Done! The simplest number to write.
↓ Start at the sky, pull down to the ground.
Start at the top left. Curve up and around to the right (like the swan's head). Swoop down to the left. Then make a flat line across the bottom (the water).
↗ Curve the neck → ↘ Swoop down → → Flat bottom
Start at the top left. Curve around to make the top wing. Come back to the middle. Curve around again to make the bottom wing.
↗ Top curve → back to middle → ↘ Bottom curve
Start at the top. Go down partway. Stop! Now go across to the right. Lift your pencil. Start at the top right and pull straight down through the crossbar to the bottom.
↓ Down → → Across → Lift → ↓ Mast down
Start at the top right. Go LEFT to make his flat cap. Then go DOWN for his neck. Now curve around to the right to make his big belly. 5 is the trickiest number because he goes left first!
← Cap → ↓ Neck → ↷ Big belly
Start at the top right. Curve down and around, all the way into a spiral at the bottom. You're drawing the snail curling into his shell.
↙ Curve down → ↺ Spiral into the shell
Start at the top left. Go straight across to the right. Now go diagonally down to the left. Some people add a little line across the middle (like European style), but you don't have to.
→ Across the top → ↘ Diagonal down
Start in the middle. Curve up and around for the head (top circle). Keep going and curve down and around for the body (bottom circle). It's like drawing an "S" that connects to itself!
↗ Top circle → ↘ Bottom circle → connect!
Start near the top right. Curve around to make the balloon (a circle). Then pull the string straight down.
↺ Circle for balloon → ↓ String down
Start at the top. Curve around to the left, down, around to the right, and back up to where you started. You're drawing an oval or egg shape.
↙ Curve left → ↓ Down → ↗ Curve right → back to start
Practice writing each digit five times. Say the number's name out loud as you write it. Go slowly! Speed will come later. Right now, focus on making each number clear and beautiful.
You have a name that people say out loud (like "Emma" or "James"). You also have a face that people recognize when they see you.
Numbers are the same way!
They mean exactly the same thing. One is for writing quickly in math problems. One is for writing in stories and sentences.
| Digit (Face) | Word (Name) |
|---|---|
| 0 | Zero |
| 1 | One |
| 2 | Two |
| 3 | Three |
| 4 | Four |
| 5 | Five |
| 6 | Six |
| 7 | Seven |
| 8 | Eight |
| 9 | Nine |
| 10 | Ten |
In math problems, we usually use the digit because it is faster to write:
3 + 4 = 7
In stories and sentences, we often use the word:
"Sarah has three apples and four oranges. She has seven pieces of fruit altogether."
You need to be able to read both! When you see "7" in a math problem, your brain should hear "seven." When you read "seven" in a story, your brain should picture the digit 7.
Some number words are tricky to spell. Here are the ones that trip people up:
Practice matching! Have someone say a number word ("seven") and you write the digit (7). Then switch—they show you a digit, and you say the word. Go back and forth until it feels automatic!
The teen numbers have their own word patterns:
| Digit | Word | What It Means |
|---|---|---|
| 11 | Eleven | (Special word—memorize it!) |
| 12 | Twelve | (Special word—memorize it!) |
| 13 | Thirteen | Three + Ten |
| 14 | Fourteen | Four + Ten |
| 15 | Fifteen | Five + Ten |
| 16 | Sixteen | Six + Ten |
| 17 | Seventeen | Seven + Ten |
| 18 | Eighteen | Eight + Ten |
| 19 | Nineteen | Nine + Ten |
Notice that 13 and 15 have slightly different spellings: "thir-teen" (not "three-teen") and "fif-teen" (not "five-teen"). These are old forms of the words that have stuck around!
Numbers are everywhere! You will see them on:
Every time you see a number, practice saying its name in your head. This will make you a fast and confident number reader!
Even the Bible talks about numbering! Numbers help us understand our lives—how old we are, what day it is, how much time we have. Learning to name amounts is one of the first steps toward wisdom.
Lesson 1.1: The First Ten
Math has only ten digits (0-9), just like you have ten fingers. With these ten symbols, you can write any number in the universe!
Lesson 1.2: The Zero
Zero is the number that means "nothing." It is not useless—it tells the truth about what is NOT there, and it holds places in bigger numbers like 10, 100, and 1000.
Lesson 1.3: The Teens
When we run out of single digits after 9, we make a BUNDLE of ten. The teens (11-19) are one bundle plus some loose ones. This bundling system is the secret to all of math!
Lesson 1.4: Writing Numbers
When you write a number, you are drawing the truth. Start at the top, go slowly, and make each digit clear so no one misreads your work.
Lesson 1.5: Number Words
Every number has two names: a digit (5) and a word (five). You need to know both so you can read numbers everywhere—in math problems and in stories!
You Have Learned the Language!
Just as Adam named the animals in the Garden, you have learned to name the amounts in God's world. You know the ten digits. You know Zero. You know how bundles work. You can write numbers and read number words.
You have completed the first step of your math journey. You are ready to move on to Unit 2: Counting, where you will learn to use these names to find out "how many."