Friday, January 29, 2010

NUMBER PATTERNS AND SEQUENCES
Real-Life Examples
Try to discover geometric patterns in nature (shells, flowers, animals, pine cones, rocks); in architecture (archways, doorways, stairways, floor tiles, windows); in clothing and home fashion (designer labels, t-shirt logos, neckties, quilts, wallpaper, and floor tile); and in technology (computer-generated graphics and logos).

Create, Extend and Explain Number Patterns
Have fun with your family by making up number patterns. Encourage other family members to discover each pattern, predict the next three numbers in the pattern, and explain how the pattern works.
5, 10, 15, 20, 25, 30 … (35, 40, 45)
Add 5 to the previous number.
Count by five’s.


2, 4, 6, 8, 10, 12 … (14, 16, 18)
Add 2 to the previous number.
List the even numbers.
Count by 2.


1, 3, 5, 7, 9, 11 … (13, 15, 17)
Add 2 to the previous number.
List the odd numbers.


1, 2, 4, 8, 16 … (32, 64, 128)
Double the previous number.
Multiply the previous number by 2.
Add 1 to the first number, then 2 to the next number, then 4, then 8, etc.


1, 4, 9, 16, 25, 36, 49 … (64, 81, 100)
Multiply each number by itself (1 x 1 = 1, 2 x 2 = 4, 3 x 3 = 9, 4 x 4 = 16).
Find the perfect squares of the counting numbers.
Add 3 to the first number, then 5 to the next number, then 7, then 9, then 11, etc.


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