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Grades K–2 · Everyday Life

Will it fit in the pocket?

A book may stick out of a pocket one way and fit when it is turned. Turning does not shrink the book. It changes which of its edges must fit across the pocket and which must fit up and down.

J01 visual explanationFlat comparison of a book shape with a fixed rectangular pocket. The shape is in its starting orientation. Compare all shape edges with the pocket boundary. This picture leaves out thickness, depth and bending.Does the whole shape fit?Book: as shownFlat picture of a pocketPart of the shape sticks outside.

In the diagramDoes the whole shape fit?Book: as shownFlat picture of a pocketPart of the shape sticks outside.

The book’s long side sticks outside the pocket in this direction. Turning changes its direction without making it smaller.

In this flat picture, the book's long side is too wide for the pocket when it points across. Turning puts that long side up and down instead. The pocket is tall enough for it, while the book's shorter side can fit across.

The whole outline must stay inside the pocket's edge. One corner or end sticking out still means it does not fit in that position. A longer pencil may remain too long even after being turned.

Real pockets also have depth, and objects have thickness. This drawing leaves those out so we can see one useful idea clearly: changing direction can help a shape fit without changing its size.

About this explanation

Starting knowledge: Notice inside and outside in a picture and recognize an object after it is turned.

Sources

  • Common Core State Standards Initiative — Kindergarten Geometry: Compose Shapes
← Grades K–2 topics