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

Number Patterns (2) 3(2) 2(2) 1(2) n? __(2) Term Number n TermExpression

Number Patterns 6(5) + 4 5(5) + 4 4(5) + 4 3(5) n? _____(5) + 4 (n + 2) How does the different part relate to the term number? What’s the same? What’s different? Term Number TermExpression

Number Patterns 3 - 2(3) 3 - 2(2) 3 - 2(1) 3 - 2(0) n? 3 - 2(____)n - 1 How does the different part relate to the term number? What’s the same? What’s different? Term Number TermExpression

Number Patterns n? (___) 2 2n How does the different part relate to the term number? What’s the same? What’s different? Term Number TermExpression