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Fit pieces without gaps and recognize the combined outline.
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.
Turn and join simple shapes to build a new shape.
| Term | What it means |
|---|---|
| compose | Put pieces together to make a shape. |
| overlap | Put part of one piece on top of another. |
Put two equal square tiles side by side. Match one whole edge. No piece covers another and no space remains between them. Trace the outside with a finger. The new outline is a rectangle. The line where the squares meet is inside the shape, not part of its outside boundary.
Another way: picture
[Two squares joined into a rectangle] Two square pieces make one longer rectangle.
Cut a paper square along a corner-to-corner line. The two pieces are triangles. Turn one around, then fit them back together along the cut. A rotated piece has not changed its size or shape. Check the outer boundary for gaps. Count pieces separately from outside corners. Two pieces can make a shape with four corners; piece count and corner count answer different questions.
Match one whole edge. [Two square tiles form a rectangle]
□ beside □
The equal edges fit without a gap.
Trace around both tiles.
One rectangle; two pieces
The middle join is not an outside side.
Find the two cut edges. [Square split diagonally into two triangles]
Two triangles
These edges came from the same cut.
Turn and fit them.
Two equal square tiles share one whole side. What is their outside shape?
Audio transcript: None
Match each fitted set to its outside shape.
| rectangle | square | regular hexagon | |
|---|---|---|---|
| Two equal squares side by side | |||
| Two halves of a diagonally cut square | |||
| Six equal equilateral triangles around one point |
Audio transcript: None
A path uses 4 equal square tiles with no overlap. How many square pieces were used?
Answer:
Two triangles came from cutting one square along a corner-to-corner line. One triangle is now turned. What must you do to rebuild the square?
Audio transcript: None
Lesson test: one question per skill, one attempt each, no hints. Your answers are checked when you submit.
Two square tiles join along one full edge. Record pieces and outside corners.
Pieces: p. Outside corners: c.
Audio transcript: None
Join two square tiles. How many pieces are inside, and what shape is the outside outline?
6. Rebuild a diagonally cut square., step 2
One square
No area is missing or covered twice.