1. Number Patterns
Grade 6 Patterning Unit

2. Recap

3. What is a pattern? Where have you seen patterns?

4. Pattern Defined
A pattern follows a rule or rules

5. Recursive Patterns
- Many number patterns you have examined are recursive patterns
- This mean each term can be found by applying the pattern rule to the previous term
What is an example of a recursive pattern?

6. Example #1
I am going to write the first 5 terms for a recursive pattern that starts at 7.
Pattern Rule: Start at 7, Multiply by 2, then add 1
7x2+1=15, 15x2+1=31, 31x2+1=63, 63x2+1=127
7, 15, 31, 63, 127

7. Example #2 Here is a recursive pattern: 1, 6, 11, 16, 21,...
-Find the pattern rule
To find the pattern rule, you need to find the difference between the number on the different and the number on the left.
-Write the next 3 terms in the pattern

8. Example #2 What is the rule: Start at 1, add 5
What are the next 3 terms:
26, 31, 36

9. Task In groups, identify each pattern rule and write the next 3 terms.
Then, write the steps you took to solve each problem.
Group 1: , 4, 10, 28, 82, , 230, 210, 190, 170,...Group 2:
3, 4, 6, 10, 18,...
2, 5, 11, 23, 47,...
Group 3:
5, 12, 26, 110, 222, , 281, 262, 243, 224,...
Group 4:
3, 6, _, 24, 48, _, _
5, 27, 137, 687, …
Group 5:
3, 12, 39, 120…
100, 82, 64, 46,...