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Patterns
1, 3, 5, 7, 9, …   2, 4, 6, 8, …   •  Geometrical •  Numerical
Where can you find patterns? ,[object Object],[object Object],[object Object],[object Object]
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 ,[object Object],[object Object],[object Object],[object Object],[object Object],Numerical Algebraic Graphical
Number Patterns ,[object Object],[object Object],[object Object],[object Object],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
 

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Unit7 patterns

  • 2. 1, 3, 5, 7, 9, … 2, 4, 6, 8, … • Geometrical • Numerical
  • 3.
  • 4. From pictures or physical models we can sometimes find both numerical and geometrical patterns.
  • 5. Understanding a pattern can help us: • extend the pattern • create new patterns
  • 6.
  • 7.
  • 8. 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
  • 9. 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
  • 10. 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
  • 11.