mmw

• Mathematics


  The science of patterns and relationships, evolved from elemental practices of counting, measuring, and describing the shapes and characteristics of objects
• Patterns


  Visible regularities of form found in the natural world, that recur in different contexts and can sometimes be modelled mathematically
• Regularity


  The fact that the same thing always happens in the circumstances
• Symmetry


  • A sense of harmonious and beautiful proportion and balance, where an object is invariant to various transformations including reflections
• Two Main Types of Symmetry

  • Bilateral Symmetry
  • Radial or Rotational Symmetry
• Bilateral Symmetry


  A symmetry in which the left and right sides of the organism can be divided approximately mirror image of each other along the midline
• Radial or Rotational Symmetry


  A type of symmetry around a fixed point known as the center, which can be classified as cyclic or dihedral
• Radial or Rotational Symmetry


  • Starfish has a five-fold symmetry with an angle of rotation of 72°
• Solving for the angle of rotation of patterns


  Determine the angle of rotation for given patterns

  
• Spiral


  A curve which emanates from a point, moving farther away as it revolves around the point
• Wave


  A disturbance that transfers energy through matter or space, with little or no associated mass transport
• Foam


  A substance formed by trapping pockets of gas in a liquid or solid
• Tessellation


  Tiling of a plane using one or more geometric shapes called tiles with no overlaps and no gaps
• Fracture or Crack


  Separation of material into two or more pieces under the action of stress
• Stripes


  Made by a series of bands or strips, often of the same width and color along the length
• Fractals


  A never ending pattern, consisting of infinitely complex patterns that are self-similar across different scales in loop
• Exponential growth model


  A = Pert, where A is the size of the population after growth, P is the initial number of people, e is Euler's constant, r is the rate of growth, and t is time in years
• Solving population growth problems

  Use the exponential growth model to find the population size at a given time
• Fibonacci Sequence


  A sequence where each number is the sum of the two preceding ones
• Binet's formula


  A formula to calculate the nth Fibonacci number