UNIT 1 & 2

• Pattern - regular, repeated or recurring forms of design
• Mathematics as a science of pattern

  • Sequence of numbers
  • Geometric sequence
  • Arithmetic sequence 
  • Fibonacci sequence 
• fractals - are complex pattern and self-similar across different scales  (it looks a smaller version of itself)
• meander - patterns seen in nature where curved lines are the dominant design
• symmetry - proportional and balanced or the same as the other side
• spiral - is a curve that starts at a central point.
• spots and stripes - dotted pattern and stripes
• waves and ounes - waves create ripple patternand ounes, winds blow over large bodies of sand
• bubbles and foam - formed from repeating spheres.
• chaos - abstract in nature, random, unpredictable
• cracks - structural, fracture, and physical damages
• tessellation - geometric shapes, no overlaps and gaps
• symmetry - indicates that you can draw an imaginary line kacross an object and the resulting parts are mirror
• Bilateral or reflection symmetry - 2 fold symmetry
• Rotational symmetry- (radical symmetry) - a figure turn and remain unchanged
• Angle of Rotation - smallest angles the figure can be rotated and remain its symmetry
• • Fibonacci sequence - is part of spiral, A series of numbers in which each number is the sum of the previous two numbers (1, 1, 2, 3, 5, 8, 13, ...).
• leonardo pisano bigollo - fibonacci sequence named after Italian mathematician
• Mathematical Expression - Consists of terms. Each term is separated from other terms with either plus (+) or minus (-) signs. It may contain parentheses or other grouping symbols.
• Mathematical Sentence - Combines two mathematical expressions using a comparison operators such as Equal (=), not equal (≠) Greater than(>), greater than or equal to (≥) Less than (<), less than or equal to (≤)
• mathematical sentence

  • Open sentence
  • Closed sentence
• Open sentence - it uses variables and is not known whether or not the mathematical sentence is true or false.
• • Closed sentence - determine if it’s true or false
• Verbal words & interpretation

  Less than — is subtracted from

  Less — Minus

  Difference — minus 

  decreased— minus

  Sum — plus

  is — equal

  product— parentheses 
• number of fold & AOR

  • 2 - 180
  • 3 - 120
  • 4 - 90
  • 5 - 72
  • 6 - 60
  • 7 - 51
  • 8 - 45
  • 9 - 40