Back to the on-screen lesson ·

Putting shapes together

Making a bigger shape from smaller ones.

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

Today we join pieces and describe both the parts and the whole outside shape.

2. Building words

TermWhat it means
SeamWhere two pieces meet.
BoundaryThe outside edge of the whole.

3. Parts make a whole

Two shapes can meet along an edge to make a larger shape. The place where they meet is a seam. To name the whole, follow its outside boundary. Do not turn down an inside seam. The smaller shapes are still parts of the whole, even when the whole has a different name.

Another way: picture

Two right triangles joined along a diagonal to make a rectangle with four outside corners.
Two right triangles joined along a diagonal to make a rectangle with four outside corners.

Follow the diagonal to see the parts; follow the outside to see the whole.

4. Try different arrangements

Join two equal squares along a full edge. Their outside makes a rectangle. Slide one square away: now there is a gap, so they no longer fill that rectangle. Turn or slide pieces until edges meet without gaps or overlaps. Just touching at one corner is not the same arrangement.

5. Floor builder

Use paper shapes to cover a toy floor. Move pieces until there are no gaps. Show a partner one part, then trace the whole. An adult can observe your building; a screen answer cannot prove it.

6. Join squares

  1. Two squares
    Two squares

    Trace outside both pieces.

    Four sides.

    The middle seam is inside.

  2. Name the whole outline.

    A rectangle.

    It has four square corners.

7. Many parts

  1. Six triangles
    Six triangles

    Keep to the outside.

    Six straight edges.

    Ignore the inside lines.

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

    Name this whole shape.

8. Guided practice

![Joined squares](img_pkb_two_squares@1) What is the whole outside shape?

Audio transcript: None

9. Guided practice

![Joined pieces](img_pkb_triangle_square@1) Which pieces make this rectangle?

Audio transcript: None

10. Practice

![Six joined triangles](img_pkb_six_triangles@1) How many corners are on the OUTSIDE boundary?

Audio transcript: None

11. Practice

Match each pictured arrangement to the whole outline it makes.

RectangleHexagon
![Squares](img_pkb_two_squares@1)
![Triangles](img_pkb_six_triangles@1)

Audio transcript: None

12. Somewhere new

![Toy roof](img_pkb_triangle_square@1) A toy builder makes this roof from colored triangle tiles. How many separate tiles are used?

Answer: tiles

Audio transcript: None

13. Lesson test

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

14. Test question

![Joined roof](img_pkb_triangle_square@1) How many corners belong to the whole outside outline of this roof?

Answer:

Audio transcript: None

15. What you can do now

Show how the outside boundary differs from a line where two pieces meet inside.

Working for the steps left to you

7. Many parts, step 2

A hexagon.

Hexagons have six sides.