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11Unit Chess Cubes

jOb ective Study three-dimensional figures made with cubes.

1. Textbook Instructions 11 Chess Cubes

This unit challenges students to use their White and blue cubes are stacked in three layers as shown.
visualization skills to determine properties of The same color cubes cannot be next to each other.
three-dimensional figures. Find the number of blue cubes.

In the illustration, white and blue cubes are Have students visualize each lager to find the total number of blue cubes.
stacked in three layers as shown.
How many cubes are there in each layer? How many blue cubes
9. are there in all?
Have students visualize each layer to find this
number so they can count the hidden cubes.

Discuss with students how to find the number

of blue cubes.

How did they count the number of cubes

in the figure?

Refer to .

What color is the center cube in the middle

layer? White. Chat

How many blue and white cubes are there How can you find the number of blue cubes?
Discuss it with your classmates.
total? There are 27 cubes, nine in each layer.
Count the blue cubes in each layer and add the numbers.
(9 3 27) 5 4 5 14
There are 14 blue cubes.

96

2. Build Understanding

Counting Cubes
Top layer: There are five blue cubes in this layer, one at each corner and one

in the center.
Middle layer: There are four blue cubes in this layer, one each in the outside

center side. The rest of the cubes are white as this is the
opposite of the top layer.
Bottom layer: There are five blue cubes in this layer, the same as the top
layer.
The number of blue cubes: 5 4 5 14

158 NUMINO Teacher s Guide
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