SE 3.07Constructive Triangles: Triangular Box
The child builds the same large equilateral triangle from one, two, three, and four smaller triangles.
Presentation
Search videos (opens YouTube in a new tab)- 1
Take out the triangles and sort them by color on the table.
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Place the gray triangle at the top and point out that it has no black lines.
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Take the two triangles of the next color, find the black lines, and slide them together until the lines meet.
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Lay the finished triangle beside the gray one and look at both.
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Build the next triangle from three pieces, then the last from four pieces, the same way.
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Place each built triangle on top of the gray one to show they are all the same size.
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Return the triangles to the box and invite the child.
What catches the child’s eye
- Four small triangles becoming one large triangle the same size as the gray one
- The upside-down triangle that fills the middle of the four-piece triangle
Extensions, easiest to hardest
- Count the pieces in each triangle: one, two, three, four.
- Use the pieces to build other shapes, such as a rhombus or a trapezoid.
- Draw the built triangles and color each part.
Control of error
The black lines meet exactly along each join, and a correctly built triangle covers the gray triangle with no edge showing.
Ready to move on when the child…
- Builds all the triangles in the box using the black lines
- Shows that each built triangle is the same size as the gray one
- Builds a new shape from the pieces