Halves and quarters of circles and rectangles
In 1st grade, children learn to split circles and rectangles into two or four equal parts and to name them halves, fourths, and quarters.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
Try these with your child
These are real questions from our 1st grade practice. Tap the speaker to hear one read aloud, or the light bulb for a hint, and talk about the answer together.
Question 1 of 3
You baked a square cake and cut it into quarters. If you have four pieces of the cake, and each piece is a quarter, how many whole cakes do you have?
- 4
- 2
- 1
Why this matters
Sharing a snack fairly is something your child already cares about, and equal shares are the start of fractions, one of the biggest topics in 3rd, 4th, and 5th grade. A child who already knows that halves must be the same size, and that four pieces of a pancake are smaller than two, has the right picture in mind when they start writing 1/2 and 1/4 with numbers.
Where kids can get stuck
- Calling any two pieces halves, even when one is clearly bigger, because halves seem to mean two parts, not two equal parts.
- Believing a fourth is bigger than a half because four is bigger than two.
- Cutting a rectangle into four unequal pieces and still calling each one a fourth.
How you can help
- Cut sandwiches, tortillas, or pancakes into halves and fourths at mealtime, and ask your child whether the pieces are equal and which is bigger, a half or a quarter.
- Fold a square napkin or paper in half, then in half again, and talk about how many equal parts there are now and what each part is called.
- Share a pizza or orange with the family and ask how to cut it so everyone gets an equal share, using the words half, fourth, and quarter.
Want a little more? Watch the kid-friendly video below together, or try Bobby's Math Club for free practice that adapts to your child.
Kid-friendly explanation
Questions parents ask
Why is my child learning halves and fourths with shapes instead of numbers?
Using shapes and words helps your child understand what equal parts are before learning fraction symbols. Seeing and cutting real shapes makes clear that halves must be the same size. Writing fractions like 1/2 with numbers starts in 3rd grade, once this foundation is in place.
Why does my child think a fourth is bigger than a half?
Many children assume that a bigger number means a bigger amount. Since 4 is bigger than 2, a fourth seems bigger. Cutting two identical sandwiches, one into halves and one into fourths, and comparing a piece from each shows that more pieces means smaller pieces. Seeing it with food often helps it make sense.
Are fourths and quarters the same thing?
Yes. A fourth and a quarter both mean one of four equal parts of a whole. Your child will hear and use both words. Connecting quarters to money can be confusing at first, so focus on shapes like pizzas and sandwiches in 1st grade.
Make learning math fun
Bobby's Math Club turns 1st grade math practice into something fun to do together.
- Free, unlimited practice for every child in your family
- Questions matched to your child’s level, a few minutes a day
- You see their progress and what to work on next
Written by Robert “Bobby” Barnett
Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.
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Join the clubNote for teachers: This skill is covered by Common Core math standard 1.G.A.3: “Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.” Learn how Bobby's Math Club can help your students grow. (Common Core 1.G.3)