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Mathematics in our Modern World (1st year, 1st sem)
Lesson 1 Finals
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Siahamba Paica
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What is the course title of GE 105?
Mathematics
in the Modern World
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What are the intended learning outcomes for the students in this lesson?
Apply geometric concepts, especially
isometries
in designs
Enrich Filipino culture and arts using
Geometry
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How can geometry contribute to artistic prowess?
Geometry can help
enhance
artistic skills and enrich
culture
.
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What are the building blocks of both art and math?
Line
,
shape
, form, pattern,
symmetry
, scale, and
proportion
.
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What are the characteristics of lines in geometric designs?
Lines vary in width, length,
curvature
, color, or direction.
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What defines shapes in geometry?
Shapes are
two-dimensional
figures in a
plane
, which can be
open
or closed.
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What is the definition of form in geometry?
Form refers to
three-dimensional
figures that enclose
volume
and help understand physical space.
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What is the role of repetition in geometric patterns?
Repetition is the recurrence of
elements
of art at regular
intervals
to form a pattern.
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What are the three types of balance in design?
Symmetry
Asymmetry
Radial symmetry
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What does proportion refer to in design?
Proportion is concerned with the size relationships of parts of a
composition
to each other and the whole.
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What is perspective in geometric design?
A system for representing
three-dimensional
objects on a
two-dimensional
surface.
Includes
one-point
and
two-point
perspective.
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What is the definition of geometric transformations?
Geometric transformations involve taking a
preimage
and transforming it to produce an image.
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What are the two categories of geometric transformations?
The two categories are
rigid transformation
and
non-rigid transformation
.
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What is a rigid transformation?
A rigid transformation does not change the shape or size of the
preimage
.
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What is a non-rigid transformation?
A non-rigid transformation changes the size but not the shape of the
preimage
.
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What are the four types of transformations in geometry?
Rotation
Translation
Dilation
Reflection
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What is rotation in geometric transformations?
Rotation involves turning an object about a
fixed point
without changing its size or shape.
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What is translation in geometric transformations?
Translation is moving an object in space without changing its size, shape, or
orientation
.
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What is dilation in geometric transformations?
Dilation involves
expanding
or
contracting
an object without changing its shape or orientation.
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What is reflection in geometric transformations?
Reflection involves flipping an object across a line without changing its
size
or shape.
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What are geometric patterns?
Collections of
shapes
that repeat or alter to create a
cohesive
design.
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What are some ways to use geometric patterns in designs?
Create images with patterns
Play with
asymmetry
Combine patterns with
photos
Use lighting creatively
Connect shapes uniquely
Make collages
Use
diagonals
Create
isometric patterns
Play with symmetry
10. Keep it simple
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Who enumerated ways to use geometric patterns in designs?
Kayla Darling
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What is the significance of Jama Mapun weaving in geometry?
Weavers create complex geometric designs without advanced training.
They use a combination of weaving and
counting
techniques.
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What is the unique feature of Jama Mapun weaving?
The unique feature is the "
tupi
" or fold that allows weaving designs directly into mats.
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How can the Jama Mapun Community contribute to education?
They can enrich
mathematical education
and research.
They can help integrate analysis of
Philippine Art forms
into curricula.
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