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MathGrade 2ages 7–8

🧊 Cube sphere cylinder

A child who calls a soup can a sphere, or a ball a cylinder, is grouping shapes by "is it round" rather than by counting flat faces and curves the way a mathematician would.

Updated · Maya Tutor

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What your child learns

The mistake most kids make here

Counting every round thing as the same shape.

Try one question

How many square faces does a cube have?

Cube faces

Answer

6 — Yes. Six.

How Maya teaches it

Your child tells Maya what they did in class. She teaches this topic at her desk, asks questions with tappable answers, and when the answer is wrong she explains why that answer was tempting instead of saying “try again”. She remembers what did not land and comes back to it.

Your child has it when they can: How many square faces on a cube?

How to help at home

"Round" is doing too much work in a young child's vocabulary — it covers anything without sharp corners, which lumps together shapes that are actually quite different once you look at their faces.

Gather a die or box (cube), a ball (sphere), and a can or paper-towel tube (cylinder). Have your child run a finger over each one and count: how many flat parts, and how many curved parts? The cube is all flat, the sphere is all curve, the cylinder has both.

When "round" gets used for everything, ask: "can this one roll and also stand still on its flat end, or can it only roll?" A cylinder can do both; a sphere can only roll. That question makes the difference physical, not just verbal.

A sign they've got it: they can explain, without prompting, why a can is not the same shape as a ball, using the words "flat" and "curved" rather than "round" and "not round".

Questions parents ask

Why does my child think a can and a ball are the same shape?
Both feel "round" to a child who hasn't yet separated shapes by counting their flat and curved faces. A can (cylinder) has two flat circles and a curved side; a ball (sphere) has no flat parts at all.
How many faces does a cube have?
Six flat, square faces. Having your child count them on a real box or die, one at a time, makes this stick faster than being told the number.
What's the easiest way to tell a cylinder from a sphere?
Try to stand it on a table. A cylinder can stand on its flat circular end; a sphere can only roll, since it has no flat surface anywhere.
How does Maya teach 3D shapes like these?
Maya asks the child to count flat faces and curved surfaces on real, familiar objects before naming the shape, so the label follows what they actually observed.
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More Math lessons

Sources: Common Core State Standards for Mathematics