Back to the on-screen lesson ·

What makes a shape that shape

Counting sides and corners, and using them to name a shape.

Paper packet. Every task here also exists on screen, where it is checked automatically; answers written on paper are not assessed by Nydus. When you are back at a device, enter your answers there.

1. What you will learn

In this lesson you count the sides and corners of a shape, and use them to say what it is.

2. Get ready

Find a flat triangle or draw one. Point around its edge instead of counting the space inside.

3. Shape words

TermWhat it means
sideA straight boundary piece.
cornerWhere two sides meet.

4. Follow the edge

A side is a straight piece of a flat shape's boundary. A corner is where two sides meet. Trace one side with a finger, then stop at the corner. A triangle has three sides and three corners. The boundary joins up; there is no gap.

Another way: picture

From left: a triangle with three straight sides, a square with four straight sides, and a circle with a curved boundary and no corners.
From left: a triangle with three straight sides, a square with four straight sides, and a circle with a curved boundary and no corners.

Compare the triangle's straight sides with the circle's curved outline.

5. Turn it and check

Turn a square so one corner points up. It still has four equal sides and four square corners. Turning does not change its name. A rectangle also has four sides and square corners; its sides need not all be equal. A circle curves all the way around and has no corners. Count the boundary features, not the color or the direction a shape points.

6. Count a triangle's sides.

  1. Mark a starting corner.

    Trace sides 1 and 2

    The mark helps avoid counting twice.

  2. Return along the last side.

    3 sides

    Now every straight edge has been counted once.

7. Turn a square. Count its corners.

  1. Point at every turn.

    1, 2, 3, 4

    The corners move but do not disappear.

  2. Your turn: work this step out. Its working is at the end of the packet.

    Keep the same count.

8. Guided practice

Look at the triangle. How many straight sides? ![A triangle, square and circle](img_k_side_paths@1)

Answer:

Audio transcript: None

9. Guided practice

A cutout has three straight sides and three corners. Which shape is it?

Audio transcript: None

10. Practice

A square tile has a corner at each turn. How many corners?

Answer:

Audio transcript: None

11. Somewhere new

A round plate turns smoothly all the way around its outline. Which description fits?

Audio transcript: None

12. Lesson test

Lesson test: one question per skill, one attempt each, no hints. Your answers are checked when you submit.

13. Test question

Record the square's boundary features. ![A triangle, square and circle](img_k_side_paths@1)

Straight sides: s. Corners: c.

Audio transcript: None

14. What you can do now

You can name a shape by counting its sides and corners. How many sides does a triangle have?

Working for the steps left to you

7. Turn a square. Count its corners., step 2

4

Turning preserves the square's corners.