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Learn to split circles and rectangles into 2 or 4 equal parts — and name them!
People have been sharing things equally for a very, very long time! Think about a time you split a cookie with a friend. You wanted both pieces to be the same size, right? That is what equal shares means. Long ago, people had to share food, land, and water, so they learned to cut things into equal parts.
Every time we share equally, we are using math. Let's learn the special words for sharing a shape into 2 or 4 equal parts!
Before we start cutting shapes, let's learn four important ideas. These will help you understand halves and fourths.
Let's look at circles. A circle can be split into 2 equal parts (halves) or 4 equal parts (fourths). Look at the pictures below!
Look at the middle circle. The line goes right down the center. Each side is the same size. Those are halves! Now look at the circle on the right. Two lines cross in the middle to make 4 equal parts. Each part is a fourth.
Here is the most important rule: the parts must be equal. That means they are the same size. Let's look at rectangles now!
Look at the top row. The first two rectangles are cut into halves. The line goes right through the center so both parts are the same size. But the last one on the top right? The line is NOT in the center. That is NOT equal halves!
On the bottom row, each rectangle is cut into fourths. There are three different ways to do it, and all of them work because every piece is the same size.
Halves and fourths are both ways to share equally. But there is a big difference! When you make more parts, each part gets smaller. Let's see.
| Word | How Many Parts? | Each Part Is… |
|---|---|---|
| Whole | 1 | The full shape! |
| Half | 2 equal parts | A big piece — one of two |
| Fourth (Quarter) | 4 equal parts | A smaller piece — one of four |
See? A half is bigger than a fourth because you only split the shape into 2 parts instead of 4. More parts means each part is smaller!
Here is a problem. Let's solve it step by step!
Sometimes a shape looks like it is cut into parts, but the parts are NOT the same size. Let's practice telling the difference!
| What You See | Equal Shares? | Why? |
|---|---|---|
| A circle with a line through the center | ✓ Yes! | Both halves are the same size. |
| A circle with a line NOT through the center | ✗ No! | One piece is bigger than the other. |
| A rectangle cut into 4 equal boxes | ✓ Yes! | All 4 parts are the same size — fourths! |
| A rectangle with 4 pieces of different sizes | ✗ No! | The pieces are not the same size. |
You are learning about halves and fourths right now. Great job! Soon, you will learn about even more ways to share shapes!
| What You Know Now | What You'll Learn Next |
|---|---|
| Halves = 2 equal parts | Thirds = 3 equal parts |
| Fourths = 4 equal parts | Sixths = 6 equal parts, eighths = 8 equal parts |
| Sharing shapes with cuts | Writing fractions like ½ and ¼ with numbers! |
In second grade, you will learn to write fractions. The word half becomes the number ½, and a fourth becomes ¼. But don't worry about that yet! Right now, just remember the words halves, fourths, and quarters.
Try these problems. Click "Show Answer" when you are ready to check!
Today you learned to split circles and rectangles into equal parts! When you cut a shape into 2 equal parts, each part is called a half, and we say the shape is split into halves. When you cut a shape into 4 equal parts, each part is called a fourth or a quarter, and we say the shape is split into fourths.
The most important rule is that all the parts must be the same size. If they are not the same size, they are not equal shares! Remember: 2 halves = 1 whole and 4 fourths = 1 whole. A half is bigger than a fourth because fewer parts means each part gets more of the shape. You are now ready to share shapes like a math star! ⭐