Unit7 patterns
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Unit7 patterns

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Unit7 patterns Unit7 patterns Presentation Transcript

  • Patterns
  • 1, 3, 5, 7, 9, … 2, 4, 6, 8, … • Geometrical • Numerical
  • Where can you find patterns?
    • music
    • investments
    • sleep habits
    • nature
  • From pictures or physical models we can sometimes find both numerical and geometrical patterns.
  • Understanding a pattern can help us: • extend the pattern • create new patterns
  • MODELS
    • Mathematicians …
    • look for patterns
    • find patterns in physical or pictorial models
    • look for ways to create different models for patterns
    • use mathematical models to solve problems
    Numerical Algebraic Graphical
  • Number Patterns
    • 2
    • 2 + 2
    • 2 + 2 + 2
    • 2 + 2 + 2 + 2
    4(2) 3(2) 2(2) 1(2) 1 2 3 4 n? __(2) Term Number n 2 4 6 8 Term Expression
  • Number Patterns 4(5) + 14 3(5) + 14 2(5) + 14 1(5) + 14 1 2 3 4 n? ____X_(5) + 14 (n) How does the different part relate to the term number? What’s the same? What’s different? 19 24 29 34 Term Number Term Expression
  • Number Patterns -2(4)+5 -2(3)+5 -2(2)+5 -2(1)+5 1 2 3 4 n? (____)+5 How does the different part relate to the term number? What’s the same? What’s different? 3 1 -1 -3 Term Number Term Expression
  • Number Patterns 8 2 6 2 4 2 2 2 1 2 3 4 n? (___) 2 2n How does the different part relate to the term number? What’s the same? What’s different? 4 16 36 64 Term Number Term Expression
  •