1. Problem Solving with Patterns

2. Set up your graphic organizer: Pattern Type ProblemRule 1) Arithmetic 2) Geometric 3) Neither 4) Fibonacci 5) Two Step 6) Ordered Pairs 7) Function Tables 8) Geometry (shapes)

3. Arithmetic: Examples: Rule: 2,4,6,8… start with 2 and add 2 repeatedly 3,2,1,0,-1…start with 3 and add -1 repeatedly

4. Geometic: Examples: Rule: 3,6,12,24… start with 3 and multiply by 2 repeatedly 27,9,3,1start with 27 and multiply by 1/3 repeatedly

5. Neither: Example: Rule: 1,4,9,16, Square numbers 1 2,2 2,3 2,4 2

6. Fibonacci: Examples: Rule: 1,1,2,3,5,8,13 Add the first two numbers to get 3,4,7,11,18the third

7. Two Step: Example:Rule: 3x + 1 = y m = 28 xy 14 27 516 9m

8. Ordered Pairs Example:Rule: (3,4) (6,6) (9,8)x + 3, y + 2

9. Function Tables: Example:Rule: ½ x + 1 = y or x ÷ 2 + 1 = y InputOutput 127 85 43

10. Geometry (Shapes): Problem: Rule: Add one side repeatedly