Remember: Follow the rule one step at a time. Then look for what the rule never said, like every term being even or ending in the same digit.
Follow the rule
1
The rule is add 4. What number comes next?
2
The rule is subtract 3. Fill the next number in the pattern: 29, 26, 23,
3
The rule is multiply by 2. What number comes next? 3, 6, 12,
4
Look at the bars. Which is true about the terms 3, 6, 12, 24?
The jumps get bigger each time.Every term ends in 3.The terms switch between odd and even.
5
Each step has 4 more tiles than the step before. How many tiles are in step 4?
6
The rule is start at 2 and add 6. Every term is even.
TrueFalse
Spot what the rule never said
7
The rule is start at 34 and subtract 2. Will 1 be in the pattern?
Yes. The terms keep going down, so they reach 1.Yes. Every term is odd, and 1 is odd.No. Every term is even, and 1 is odd.
8
The rule is start at 44 and subtract 5. Will 8 be in the pattern?
No. Every term ends in 4 or 9, and 8 ends in 8.Yes. The terms keep going down, so they reach 8.Yes. Every term ends in 3 or 8, and 8 ends in 8.
9
The rule is start at 1 and add 2. The terms switch between odd and even.
TrueFalse
10
The terms are 4, 8, 12, 16. Why is every term a multiple of 4?
Every number is a multiple of 4.The start is a multiple of 4, and each step adds 4.It happens because the terms get bigger.
11
Join each rule to its pattern.
1Start at 6, add 4
2Start at 20, subtract 3
3Start at 2, multiply by 3
4Start at 5, add 5
A20, 17, 14, 11
B2, 6, 18, 54
C6, 10, 14, 18
D5, 10, 15, 20
12
Make your own pattern. Write a start and a rule, then the first five terms. Write one thing you notice that the rule did not say.
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