Patterns

1, 3, 5, 7, 9,

…

2, 4, 6

, 8, …

• Geometrical

• Numerical

Where can youfind patterns?

• music

• investments

• sleep habits

• nature

From picturesor physical models we can sometimes find both numerical and geometrical patterns.

Understanding a pattern can help us:

• extend the pattern

• create new patterns

MODELSMathematicians …

• 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

22 + 22 + 2 + 22 + 2 + 2 + 2 4(2)

3(2)2(2)1(2)1

234

n? __(2)

Term Number

n

2468

Term Expression

Number Patterns

4(5) + 14

3(5) + 142(5) + 141(5) + 141

234

n? ____X_(5) + 14(n)

How does the different part relate to the term number?

What’s the same?

What’s different?

19242934

Term Number Term Expression

Number Patterns

-2(4)+5-2(3)+5-2(2)+5-2(1)+51

234

n? (____)+5

How does the different part relate to the term number?

What’s the same?

What’s different?

31-1-3

Term Number Term Expression

Number Patterns

82

62

42

221234

n? (___)22n

How does the different part relate to the term number?

What’s the same?

What’s different?

4163664

Term Number Term Expression