We love **math** and all of its **patterns** and **sequences**! The **Fibonacci sequence** might just be our favorite – it’s an amazing mathematical pattern that can be found throughout nature.

To make the **Fibonacci sequence**, you begin with zero and one, and take their **sum** to arrive at the **next number**. In other words, the sum of the two preceding values equals the next value. So the first numbers are:

0, 1, 1, 2, 3, 5, 8, 13 and so on.

When you use the numbers in the Fibonacci sequence as a guide to drawing squares, the result is a **mathematical spiral** that can be found everywhere – from the petals of flowers to the ways galaxies are formed!

**Want to map the Fibonacci sequence at home or in your classroom**? Watch the video for an overview, gather the materials listed at the right, and follow the instructions below!

## Watch The Video

https://youtu.be/ZEev-00cB7E

### Required Materials

- 1 large sheet of paper
- marker
- ruler

## Step-By-Step Instructions

### Step 1

**Draw two** 1×1 inch squares next to each other. Draw a number one in each one.

### Step 2

On top of the 1×1 inch squares,** draw** a 2×2 inch box. The bottom of the rectangle formed by your first two squares equals one side of the new square as together, they are two inches in length. Write a number two in this box.

### Step 3

Next to the 2×2 inch square and the 1×1 inch squares, **draw** a 3×3 inch square. The side of the rectangle formed by your first three boxes forms one side of the new square as together, they are three inches in length. Write a number 3 in this box.

### Step 4

Below these boxes, **draw** a 5×5 inch square. In this case, the bottom of the rectangle formed by box 3 and the first two boxes forms one side of the new square as together, they are 5 inches in length. Write a number 5 in this box. Note we are following a **counterclockwise** direction.

### Step 5

Finally **draw** an 8×8 inch square next to these boxes. Note that the sides of box 5, box 2, and box 1 form the side of the new box as together, they are eight inches in length. Write a number 8 in this box. Together, all the boxes form a large **rectangle**. When you draw a spiral outward from the first square (see the video), you’ll arrive at the **golden spiral**! Feel free to keep going and adding onto this drawing. The Fibonacci sequence is infinite – how far can you go?