Numbers Patterns
Predicting Patterns
Number Patterning involves:

Counting by twos — forwards and backwards.
eg., 2, 4, 6, 8, 10 and 10, 8, 6, 4, 2 
Counting by fives — forwards and backwards.
eg., 5, 10, 15, 20, 25 and 25, 20, 15, 10, 5 
Counting by tens — forwards and backwards.
eg., 10, 20, 30, 40, 50 and 50, 40, 30, 20, 10 
Counting by hundreds — forwards and backwards.
eg., 100, 200, 300, 400, 500 and 500, 400, 300, 200, 100 
Complex number patterning.
eg., 2, 4, 6, 5, 7, 8 — add 2, subtract 1, add 2, subtract 1.
(Working with Number Patterns is a great activity to build thinkingskills.)
Number Pattern Lesson
Complex Number Patterning Technique
1. Have students add and subtract the numbers first, writing above the numbers.
2, 6, 7, 21, 22
2. Then have students multiply and divide the numbers, writing below the numbers.
×3, none, ×3, none.
3. Underline or circle the pattern or the numbers that repeat: ×3, +1, ×3, +1, so the pattern is ×3, +1.
See samples of our number pattern worksheets. (Free Worksheets)
Math Pattern Combinations Formula
To figure out how many ways you can arrange items where you are using sets of similar items use the following formula:
M!
N1!N2!
M is the total number of items
N1 is the number of items in the first set
N2 is the number of items in the second set
eg., making necklaces with 3 silver beads and 2 gold beads
formula  total number #item1,#item2 
remaining  math  answer  
M! N1! N2! 
5×4×3×2×1 3×2×1, 2×1 
formula  total number #item1,#item2 
remaining  math  answer  
M! N1! N2! 
5×4× 
5×4 2×1 
20 2 
10 
There are 10 necklace pattern combinations.
Putting Patterns into Practice
Teaching Resources for Math for Number Pattern
Number Pattern Worksheets
Return to Math Skills Index.
Paralyzed by Patterns
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