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11Chess Cubes Unit

Objective: Study three-dimensional figures made with cubes. This exercise continues how to determine
properties of three-dimensional figures.
White and blue cubes are stacked using a pattern. The same color cubes Again, white and blue cubes are stacked in
cannot be next to each other. Find the number of blue cubes. a pattern, and cubes of the same color are
not next to each other. Students need to
If students are having a hard time, have them follow the example on the previous page to draw determine the number of blue cubes in
the figure, layer by layer. each configuration.

3rd layer 3 blue cubes How many cubes are in each graphic?
2nd layer 3 blue cubes 1st figure
1st layer 3 blue cubes There are nine blue cubes, three in each
layer. 3 3 9
9 blue cubes 2nd figure
There are seven blue cubes. Two layers
each have two blue cubes; three layers
each have one blue cube. 4 3 7
3rd figure
There are 16 blue cubes. Since some of the
blue cubes are hidden, it may help students
if they draw each layer per the example and
then count the blue cubes
Top layer: two blue cubes
Second layer: three blue cubes
Third layer: five blue cubes
Bottom layer: six blue cubes

2 3 5 6 16 blue cubes

7 blue cubes 16 blue cubes

11. Chess Cubes 97

This unit begins to lay the groundwowrk for learning about geometry,
which deals with three-dimensional shapes, such as triangles, squares and
rectangles.
What makes a shape three-dimensional?
If something can be measured by its height, width, and length, it is three
dimensional.
Name shapes in the classroom that are three-dimensional.
Some answers might be eraser, chalk, book, and computer monitor.

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