Lesson 1 Finals

• What is the course title of GE 105?

  Mathematics in the Modern World
• 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
• How can geometry contribute to artistic prowess?

  Geometry can help enhance artistic skills and enrich culture.
• What are the building blocks of both art and math?

  Line, shape, form, pattern, symmetry, scale, and proportion.
• What are the characteristics of lines in geometric designs?

  Lines vary in width, length, curvature, color, or direction.
• What defines shapes in geometry?

  Shapes are two-dimensional figures in a plane, which can be open or closed.
• What is the definition of form in geometry?

  Form refers to three-dimensional figures that enclose volume and help understand physical space.
• What is the role of repetition in geometric patterns?

  Repetition is the recurrence of elements of art at regular intervals to form a pattern.
• What are the three types of balance in design?

  • Symmetry
  • Asymmetry
  • Radial symmetry
• 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.
• 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.
• What is the definition of geometric transformations?

  Geometric transformations involve taking a preimage and transforming it to produce an image.
• What are the two categories of geometric transformations?

  The two categories are rigid transformation and non-rigid transformation.
• What is a rigid transformation?

  A rigid transformation does not change the shape or size of the preimage.
• What is a non-rigid transformation?

  A non-rigid transformation changes the size but not the shape of the preimage.
• What are the four types of transformations in geometry?

  1. Rotation
  2. Translation
  3. Dilation
  4. Reflection
• What is rotation in geometric transformations?

  Rotation involves turning an object about a fixed point without changing its size or shape.
• What is translation in geometric transformations?

  Translation is moving an object in space without changing its size, shape, or orientation.
• What is dilation in geometric transformations?

  Dilation involves expanding or contracting an object without changing its shape or orientation.
• What is reflection in geometric transformations?

  Reflection involves flipping an object across a line without changing its size or shape.
• What are geometric patterns?

  • Collections of shapes that repeat or alter to create a cohesive design.
• What are some ways to use geometric patterns in designs?

  1. Create images with patterns
  2. Play with asymmetry
  3. Combine patterns with photos
  4. Use lighting creatively
  5. Connect shapes uniquely
  6. Make collages
  7. Use diagonals
  8. Create isometric patterns
  9. Play with symmetry

  10. Keep it simple
• Who enumerated ways to use geometric patterns in designs?

  Kayla Darling
• 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.
• What is the unique feature of Jama Mapun weaving?

  The unique feature is the "tupi" or fold that allows weaving designs directly into mats.
• 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.