cover

The Grid's Address Book

How do we read a graph on a coordinate grid?
A graph looks like a **quiet little neighborhood** drawn on graph paper. But every dot on it is actually a **tiny home w

A graph looks like a quiet little neighborhood drawn on graph paper. But every dot on it is actually a tiny home with an address โ€” and once you can read addresses, you can find anyone. So let's learn to read the streets.

Two thick lines run through the middle and cross ~~like a plus sign~~. The one lying down flat is the ++x-axis++. The on

Two thick lines run through the middle and cross like a plus sign. The one lying down flat is the x-axis. The one standing up tall is the y-axis. Where they meet โ€” that crossing spot โ€” is home base, called the origin.

Every spot on the grid is named by two numbers, written like this: ~~(3, 2)~~. It's an address, always in the same order

Every spot on the grid is named by two numbers, written like this: (3, 2). It's an address, always in the same order. First how far across, then how far up. Across-then-up โ€” like reading a word before climbing a ladder.

To find ++(3, 2)++, start at **home base**. Walk three steps to the right along the flat line. Then turn and climb two s

To find (3, 2), start at home base. Walk three steps to the right along the flat line. Then turn and climb two steps up. Stop. That's the spot. The first number is your walk, the second is your climb.

Mix the numbers up and you end up at the **wrong house**. (3, 2) and (2, 3) are ~~different doors entirely~~. That's why

Mix the numbers up and you end up at the wrong house. (3, 2) and (2, 3) are different doors entirely. That's why the order never changes โ€” across first, always, no matter what.

Now, a graph usually isn't just **one lonely dot**. It's a whole line of them, *telling a story* _as your eyes travel fr

Now, a graph usually isn't just one lonely dot. It's a whole line of them, telling a story as your eyes travel from left to right. Going left to right is like reading time move forward, or watching a journey unfold.

When the line climbs as it goes right, something is growing โ€” **taller, faster, more**. When it slides downward, somethi

When the line climbs as it goes right, something is growing โ€” taller, faster, more. When it slides downward, something is shrinking or slowing. A flat line means nothing's changing at all; the story is just... resting.

So to read any point, you do two small things. Drop straight down to the flat line to read your across number. Slide str

So to read any point, you do two small things. Drop straight down to the flat line to read your across number. Slide straight over to the standing line to read your up number. Two numbers, one address, found.

And that's the whole secret. **A graph is just a map**, and every dot is a tiny home waiting to be visited. Once you kno

And that's the whole secret. A graph is just a map, and every dot is a tiny home waiting to be visited. Once you know to walk across, then climb up, the quiet neighborhood opens its doors โ€” and the whole map starts to talk.

How was this book?

A Wonderleaf Book

The Grid's Address Book

โ€” How do we read a graph on a coordinate grid? โ€”

Wonderleaf Editions
โ€” ex libris โ€”
A Wonderleaf Book

The Grid's Address Book

How do we read a graph on a coordinate grid?

Wonderleaf Editions ยท MMXXVI
Scene 1
A graph looks like a **quiet little neighborhood** drawn on graph paper. But every dot on it is actually a **tiny home w
The Grid's Address Book2
Scene 1

A graph looks like a quiet little neighborhood drawn on graph paper. But every dot on it is actually a tiny home with an address โ€” and once you can read addresses, you can find anyone. So let's learn to read the streets.

3The Grid's Address Book
Scene 2
Two thick lines run through the middle and cross ~~like a plus sign~~. The one lying down flat is the ++x-axis++. The on
The Grid's Address Book4
Scene 2

Two thick lines run through the middle and cross like a plus sign. The one lying down flat is the x-axis. The one standing up tall is the y-axis. Where they meet โ€” that crossing spot โ€” is home base, called the origin.

5The Grid's Address Book
Scene 3
Every spot on the grid is named by two numbers, written like this: ~~(3, 2)~~. It's an address, always in the same order
The Grid's Address Book6
Scene 3

Every spot on the grid is named by two numbers, written like this: (3, 2). It's an address, always in the same order. First how far across, then how far up. Across-then-up โ€” like reading a word before climbing a ladder.

7The Grid's Address Book
Scene 4
To find ++(3, 2)++, start at **home base**. Walk three steps to the right along the flat line. Then turn and climb two s
The Grid's Address Book8
Scene 4

To find (3, 2), start at home base. Walk three steps to the right along the flat line. Then turn and climb two steps up. Stop. That's the spot. The first number is your walk, the second is your climb.

9The Grid's Address Book
Scene 5
Mix the numbers up and you end up at the **wrong house**. (3, 2) and (2, 3) are ~~different doors entirely~~. That's why
The Grid's Address Book10
Scene 5

Mix the numbers up and you end up at the wrong house. (3, 2) and (2, 3) are different doors entirely. That's why the order never changes โ€” across first, always, no matter what.

11The Grid's Address Book
Scene 6
Now, a graph usually isn't just **one lonely dot**. It's a whole line of them, *telling a story* _as your eyes travel fr
The Grid's Address Book12
Scene 6

Now, a graph usually isn't just one lonely dot. It's a whole line of them, telling a story as your eyes travel from left to right. Going left to right is like reading time move forward, or watching a journey unfold.

13The Grid's Address Book
Scene 7
When the line climbs as it goes right, something is growing โ€” **taller, faster, more**. When it slides downward, somethi
The Grid's Address Book14
Scene 7

When the line climbs as it goes right, something is growing โ€” taller, faster, more. When it slides downward, something is shrinking or slowing. A flat line means nothing's changing at all; the story is just... resting.

15The Grid's Address Book
Scene 8
So to read any point, you do two small things. Drop straight down to the flat line to read your across number. Slide str
The Grid's Address Book16
Scene 8

So to read any point, you do two small things. Drop straight down to the flat line to read your across number. Slide straight over to the standing line to read your up number. Two numbers, one address, found.

17The Grid's Address Book
Scene 9
And that's the whole secret. **A graph is just a map**, and every dot is a tiny home waiting to be visited. Once you kno
The Grid's Address Book18
Scene 9

And that's the whole secret. A graph is just a map, and every dot is a tiny home waiting to be visited. Once you know to walk across, then climb up, the quiet neighborhood opens its doors โ€” and the whole map starts to talk.

19The Grid's Address Book

~ finis ~

Tiny picture books for big little questions.

โ€” a small constellation of questions โ€”
โœฆWonderleaf
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