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p.106 Symmetrical shapes Problem solving p.107

Type Study Circle all the shapes that will overlap completely when folded 1 Draw the right side of each shape so that the shapes will
along the dotted lines.
overlap completely when folded along the dotted line.

2 Draw a line so that the pictures will overlap completely when

folded along the line.

Decalcomania

Paintings that are created by painting something on one side of a paper and folding it in half to stamp the other
side are called decalcomanias. Oscar Dominguez painted decalcomanias. They were first used on ceramics or
glass crafts. Now they are used in art and psychotherapy as well as to study symmetry in mathematics.

Decalcomania Psychotherapy

106 NUMINO Challenge K1 Geometry 107

Method for checking symmetry
Use a paper and scissors for folding and cutting, respectively.
Use a mirror against the line of symmetry.

p.108 Fold and Cut Origami Problem solving p.109

Type Study The following diagram shows the unfolded shapes that occur 1 Connect the folded paper into the shape it would unfold to
when the paper is folded and cut along the given lines. Circle
the correct shapes. when cut along the given lines.

Spatial Awareness and Cutting Origami Tip
Draw the same shape
Spatial awareness is the process of turning, flipping, and moving plane figures and the ability to imagine three to the left of the
dimensional figures. Spatial awareness is developed by experience, which can be gained by freely participating folded papers.
in activities such as paper folding, stacking bricks, assembling blocks, etc. Imagination can especially be
developed in cutting origami as the students must cut and imagine a shape and then confirm what they 2 A paper was folded, cut, and then unfolded to make the shape
imagined by actually cutting and unfolding.
on the right. Draw the shape that was cut out on the folded
108 NUMINO Challenge K1 paper to the left.

Have students pay attention to the cut Tip
shape and the folded line. The unfolded figure
has the same shape
on the left and right
sides of the folding
line.

Geometry 109

Children have a considerably low ability
to think backwards. Have students
practice thinking backwards by using
paper cutting activities.

35Answer Key
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