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Math 10 (Finals) > MODULE 8: Mathematics in the Arts and Humanities > Flashcards

MODULE 8: Mathematics in the Arts and Humanities Flashcards

1
Q

Similarities of Math and Arts

A

patterns
symmetries
transformations

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2
Q

Two ways math is present in arts

A
  1. concepts are used as artistic tools
  2. as a subject
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3
Q

The musician who had a hearing impairment and used mathematical patterns to write melodies

A

Ludwin Van Beethoven

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4
Q

Rhythm is

A

the combination of sounds and spaces

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5
Q

Tesselations

A

geometric design made with regular, semi-regular, and irregular shapes through translations, reflections, or rotations that have no gaps and overlapping

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6
Q

According to Dr. James Stewart, music relates to mathematics in these four aspects

A

rhythm
harmony
melody
form

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7
Q

Six Geometric Transformations in Music

A

Translation –> Transposition
Reflection about a horizontal axis –> Inversion
Reflection about a vertical axis –> Retrogression
Rotation about 180 degrees –> Retrograde Inversion
Dilation with scale factors greater than 1 –> Augmentation(twice as slowly)
Dilation with scale factor less than 1 –> Diminution (twice as quickly)

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8
Q

Bach’s Crab Canon

A

A type of Retrogression that uses the Mobius strip wherein two musical lines are complimentary but backward, ca

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9
Q

Musical geometric transformations’ main feature

A

structure-preserving

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10
Q

Dance is called

A

geometry in motion because of structures and patterns it creates

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11
Q

Role of form in Math and Dance

A

Symmetry
Spatial Awareness
Counting Problems and Patterns

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12
Q

Role of aesthetics in Math and Dance

A

Balance

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13
Q

Four Elements of Movement and Math

A

Direction
Level
Range
Floor/space Pattern

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14
Q

Direction in Dance

A

Line of movement

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15
Q

Direction in Math

A

Vector quantities with magnitude and direction

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16
Q

Level in Dance

A

Height of the dancer in relation to the floor

17
Q

Level in Math

A

above, below, or along the x/horizontal axis

18
Q

Range in Dance

A

the area covered

19
Q

Range in Math

A

range of the function/coverage in the graph

20
Q

Floor/Space Pattern in Dance

A

Tha path or design made on the floor while dancing

21
Q

Floor/Space Pattern in Math

A

Shape of the graph

22
Q

Symmetries involved in dancing

A

Translation –> sliding symmetry
Reflection –> mirror symmetry
Rotation –> turning symmetry
Glide –> combined by slide symmetry and mirror symmetry

23
Q

Math in Weaving

A

Patterns and Symmetries

24
Q

Math in Architecture

A

Patterns and Geometric Designs

25
Q

According to Dr. James Stewart, calculus is

A

the mathematics of curves

26
Q

Haiku

A

5-7-5

27
Q

Fibonacci Poem

A

1,1,2,3,5,8,13,21… (syllables/words)

28
Q

Tagalog poem

A

Balagtasan

29
Q

Ilocano poem

A

Dallot

30
Q

Mindanao poem

A

Ambahan

31
Q

Modern poem

A

Fliptop

31
Q

Modern poem

A

Fliptop

Math 10 (Finals) (4 decks)

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