1. Patterns

2. 1, 3, 5, 7, 9, … 2, 4, 6, 8, … • Geometrical • Numerical

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

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