Kindergarten Math (Common Core) • Geometry

Name Shapes — CCSS.K.G.2: Correctly name shapes regardless of their orientations or overall size.

Learn to spot and name circles, squares, triangles, and rectangles no matter how big, small, or turned they are!

Friendly shapes with counting blocks and a calculator for elementary math
Inside this lesson 10 sections 5 questions 5 figures

SECTION 1

Where Did Shapes Come From?

People have been looking at shapes for a very, very long time! Long ago, people saw shapes in nature. They saw circles in the sun and the moon. They saw triangles on the tops of mountains. They wanted to give these shapes names so they could talk about them.

3000 BC • Pyramids in Egypt

People in Egypt built huge pyramids. Each side of a pyramid is a triangle!

300 BC • Euclid Names the Shapes

A teacher named Euclid wrote a big book about shapes. He told everyone what a circle, a square, and a triangle are.

Today • Shapes Are Everywhere!

You can find shapes in windows, wheels, signs, and even slices of pizza. Now it is your turn to learn their names!

Here is the big question: Can you still name a shape if it is turned sideways? What if it is really tiny or really huge? Yes, you can! A shape keeps its name no matter what. Let's find out how.

SECTION 2

What Makes a Shape a Shape?

Every shape has special parts that tell us its name. We look at how many sides it has and how many corners it has. A side is a straight line. A corner is where two sides meet. A circle is special because it has no sides and no corners at all!

1

Circle

A circle is perfectly round. It has 0 sides and 0 corners. A wheel is a circle!
2

Triangle

A triangle has 3 sides and 3 corners. Think of a slice of pizza!
3

Square

A square has 4 equal sides and 4 corners. All four sides are the same length.
4

Rectangle

A rectangle has 4 sides and 4 corners. Opposite sides are equal in length. A door is a rectangle!
5

Hexagon

A hexagon has 6 sides and 6 corners. The cells in a honeycomb are hexagons!
✦

KEY TAKEAWAY

Think of shapes like your friends. You can tell who your friend is even if they wear a new hat, stand on their head, or move far away. A triangle is still a triangle even if it is turned, flipped, or made bigger or smaller. You know it by its 3 sides and 3 corners!

SECTION 3

See the Shapes!

Look at the picture below. It shows five shapes you need to know. Each shape is drawn in a different color so you can tell them apart. Notice that each shape is shown in different sizes. A tiny circle and a big circle are both still circles!

The Four Main ShapesCircle0 sides, 0 cornersTriangle3 sides, 3 cornersSquare4 equal sides, 4 cornersRectangle4 sides, 4 cornersBig or small — the name stays the same!Both circles!Both triangles!Both squares!
Each shape is shown in different sizes. A big circle and a tiny circle are both called a circle. The name depends on the shape's parts—not its size!

Did you notice that the big shapes and the small shapes all look the same—just different sizes? That is because a shape's name comes from how many sides and corners it has. Size does not change the name.

SECTION 4

Counting Sides and Corners

Here is a simple trick to name any shape. Just follow two steps! First, count the sides. Second, count the corners. Then use this guide to find the name.

Shape NameSidesCornersSpecial Clue
Circle00Perfectly round, like a ball
Triangle33"Tri" means three!
Square44All 4 sides are the same length
Rectangle44Opposite sides are equal in length
Hexagon66"Hex" means six!

Shape Name Guide — Count sides and corners to find the name.

Notice that a square and a rectangle both have 4 sides and 4 corners. How do you tell them apart? A square has all sides the same length. A rectangle can have sides that are different lengths. Fun fact: every square is also a rectangle, but not every rectangle is a square!

💡

Remember This!

If a shape is round with no sides and no corners, it is always a circle. If you can count 3 sides, it is always a triangle—even if it is turned upside down!

SECTION 5

Shapes Can Be Turned and Flipped!

Sometimes shapes are turned sideways, upside down, or tilted. This is called a different orientation (say: or-ee-en-TAY-shun). That just means the shape is facing a different way. But guess what? Turning a shape does not change its name! Look at the picture below to see how shapes keep their names even when turned.

Same Shape, Different OrientationEach row shows the SAME shape turned different waysTrianglepointing uppointing downpointing righttiltedAll triangles! ✓Squareflat side downon a cornersmall + tiltedbigAll squares! ✓Rectanglelying flatstanding talltiltedbigAll rectangles! ✓CirclemediumsmallbigtinyAll circles! ✓
Each row shows the same shape in different sizes and orientations. The shape's name stays the same no matter how it is turned or how big or small it is.

Look at the square that is balanced on one corner. Some people call this a "diamond." But it is still a square! It has 4 equal sides and 4 corners. Turning it does not change what it is.

ℹ

Fun Fact

A circle always looks the same no matter how you turn it! That is because it is perfectly round everywhere. You cannot tell if someone turned a circle. That makes circles special.

SECTION 6

Let's Name Some Shapes Together!

Let's practice naming shapes step by step. Imagine you see a shape on a worksheet. It has straight sides, and it is turned so that one corner points to the top. Let's figure out its name!

Mystery Shape: Tilted with 3 Sides

  1. 1

    Step 1 — Is it round?

    Look at the shape. Is it round like a ball? No, it is not round. It has straight sides. So it is not a circle.
    Not a circle!
  2. 2

    Step 2 — Count the sides

    Put your finger on one side and count each straight line. You count: 1, 2, 3. The shape has 3 sides.
    3 sides
  3. 3

    Step 3 — Count the corners

    Now count the pointy corners where sides meet. You count: 1, 2, 3. The shape has 3 corners.
    3 corners
  4. 4

    Step 4 — Name the shape

    A shape with 3 sides and 3 corners is called a triangle. It does not matter that it is tilted. It is still a triangle!
    It is a triangle! 🎉

Mystery Shape: Big Shape with 4 Sides (2 Long, 2 Short)

  1. 1

    Step 1 — Is it round?

    No, it has straight sides. It is not a circle.
    Not a circle
  2. 2

    Step 2 — Count the sides

    Count the straight lines: 1, 2, 3, 4. It has 4 sides.
    4 sides
  3. 3

    Step 3 — Are all sides the same length?

    Look carefully. Two sides are long and two sides are short. The sides are not all the same length.
    Sides are different lengths
  4. 4

    Step 4 — Name the shape

    A shape with 4 sides and 4 corners, with 2 long sides and 2 short sides, is a rectangle. Even though it is big, it is still a rectangle!
    It is a rectangle! 🎉

SECTION 7

How Are Shapes Alike and Different?

Some shapes look a lot alike! It can be tricky to tell them apart. The table below will help you see what makes each shape different from the others.

QuestionCircleTriangleSquareRectangle
Is it round?Yes ✓NoNoNo
How many sides?0344
How many corners?0344
Are all sides the same?No sidesCan beYes, alwaysNot always
Real-life exampleCoin, clockPizza sliceCheckerboard tileDoor, book

Comparing the four main shapes

✦

KEY TAKEAWAY

Think of it like animals. A dog is still a dog whether it is big or small, sitting or standing, or facing you or facing away. Shapes are the same way. A triangle is always a triangle because it always has 3 sides and 3 corners—no matter how it looks.

SECTION 8

Shapes You Will Learn Next!

You are doing a great job learning flat shapes! These flat shapes are called two-dimensional shapes (or 2D shapes) because they are flat like a drawing on paper. Soon you will learn about three-dimensional shapes (or 3D shapes) that you can hold in your hands!

Flat Shape (2D)Solid Shape (3D)Real Example
CircleSphere (ball shape)Basketball
SquareCube (box shape)Dice
TriangleCone (ice cream cone shape)Party hat
RectangleRectangular prism (box shape)Cereal box

Flat shapes lead to solid shapes!

Knowing how to name flat shapes is the first step. Once you can name circles, triangles, squares, and rectangles, you will be ready to learn about the shapes that make up the world all around you!

SECTION 9

Practice Problems — Name That Shape!

Now it is your turn! Try to answer these questions. Think about what you learned: count the sides, count the corners, and remember that size and turning do not change a shape's name.

Question 1: CONCEPTUAL

A shape is perfectly round with no sides and no corners. What is the name of this shape?
Show answer
This shape is a circle. A circle is the only shape that is perfectly round. It has 0 sides and 0 corners. It does not matter if the circle is big or small—it is still a circle!

Question 2: BASIC CALCULATION

You see a shape with 4 sides. All 4 sides are the same length. What shape is it?
Show answer
This shape is a square. A square has 4 sides and 4 corners. The special thing about a square is that all 4 sides are the same length. Even if you turn it so a corner points up, it is still a square!

Question 3: INTERMEDIATE

A triangle is turned upside down so that one corner points to the ground. Is it still a triangle? How do you know?
Show answer
Yes! It is still a triangle. You know because it still has 3 sides and 3 corners. Turning a shape does not change its name. The orientation (the way it faces) does not matter. Count the sides and corners to be sure!

Question 4: APPLIED

Look around your room. Can you find something shaped like a rectangle? Name the object and tell how you know it is a rectangle.
Show answer
Answers may include a door, a book, a tablet screen, or a window. You know it is a rectangle because it has 4 sides and 4 corners. Opposite sides are equal in length. If all 4 sides were the same length, it would be a square instead.

Question 5: CRITICAL THINKING

Your friend says, "That is not a square because it is sitting on its corner like a diamond." Is your friend right or wrong? Explain your thinking.
Show answer
Your friend is wrong. A square sitting on its corner is still a square! It still has 4 equal sides and 4 corners. Turning a shape does not change its name. The word "diamond" is not a real math shape name. When you see a shape balanced on a corner with 4 equal sides, you should call it a square.

SUMMARY

What You Learned Today

Summary

Today you learned to name five important shapes. A circle is round with 0 sides and 0 corners. A triangle has 3 sides and 3 corners. A square has 4 equal sides and 4 corners. A rectangle has 4 sides and 4 corners, with opposite sides equal in length. A hexagon has 6 sides and 6 corners.

The most important thing to remember is that a shape keeps its name no matter what. Whether it is big or small, or turned, tilted, or flipped, you name it by counting its sides and corners. Great job learning about shapes today!

Varsity Tutors • Kindergarten Math • Name Shapes — CCSS.K.G.2