Page 194 - NUMINO TG_5A
P. 194
12Look Here, Look There Unit
Material Geo Cubes
Make sure students only use four cubes to create a new shape. Some shapes cannot be drawn on Why are figures with many surfaces able
the dot board with nine rhombi. to be constructed with so few rhombi?
Eliminating a dimension from the figure means
2 . Use four cubes to make a new shape. Then use nine identical rhombi fewer surfaces to replicate, and therefore few
rhombi are used.
to draw a view of the figure on the dot board. (Do not make shapes
2. Have students create their own three-
shown on the previous page.) What you need: Geo Cubes dimensional figures using only four geo
cubes. Using a dot board, students must then
The following answers will vary according to the shape made: draw the same figure using only nine rhombi.
Not every shape that can be made with four
a. cubes can be reproduced with only nine
rhombi. Students may not recreate shapes
Place the figure used on the previous page. Have students
you formed here. show and discuss the figures they created.
b.
Place the figure
you formed here.
This shape cannot be
drawn on the dot board
with nine rhombi.
c.
Place the figure
you formed here.
This shape cannot be
drawn on the dot board
with nine rhombi.
12. Look Here, Look There 109
Students may have trouble constructing solid figures that can be two-dimensionally reproduced with only
nine rhombi.
This shape requires only eight rhombi to recreate.
To reach nine rhombi, students must note how many surfaces are visible for each of their four cubes. If too
many surfaces are obscured, too few rhombi will be used. If too many are exposed, too many rhombi are
used. The correct figures will find a balance between the two.
5A Unit 12 177
Material Geo Cubes
Make sure students only use four cubes to create a new shape. Some shapes cannot be drawn on Why are figures with many surfaces able
the dot board with nine rhombi. to be constructed with so few rhombi?
Eliminating a dimension from the figure means
2 . Use four cubes to make a new shape. Then use nine identical rhombi fewer surfaces to replicate, and therefore few
rhombi are used.
to draw a view of the figure on the dot board. (Do not make shapes
2. Have students create their own three-
shown on the previous page.) What you need: Geo Cubes dimensional figures using only four geo
cubes. Using a dot board, students must then
The following answers will vary according to the shape made: draw the same figure using only nine rhombi.
Not every shape that can be made with four
a. cubes can be reproduced with only nine
rhombi. Students may not recreate shapes
Place the figure used on the previous page. Have students
you formed here. show and discuss the figures they created.
b.
Place the figure
you formed here.
This shape cannot be
drawn on the dot board
with nine rhombi.
c.
Place the figure
you formed here.
This shape cannot be
drawn on the dot board
with nine rhombi.
12. Look Here, Look There 109
Students may have trouble constructing solid figures that can be two-dimensionally reproduced with only
nine rhombi.
This shape requires only eight rhombi to recreate.
To reach nine rhombi, students must note how many surfaces are visible for each of their four cubes. If too
many surfaces are obscured, too few rhombi will be used. If too many are exposed, too many rhombi are
used. The correct figures will find a balance between the two.
5A Unit 12 177
