Create and Extend Number Patterns

Number Patterns

Look at the numbers you have and determine what the relationship between them is.

Example: 2, 4, 6, _, 10, 12

Poll

What is the missing number in this pattern?

2, 4, 6, _, 10, 12

• 8

• 0

Determining a number pattern:

• You must look at more than 2 numbers.

• Figure out the relationship between the numbers, and then see if that fits for the remaining numbers.

• This will be the rule your pattern follows.

• For example: 2, 4, 6, _, 10, 12 has the rule add 2. If we apply this rule, we can determine that the missing number is 8.

Sometimes there is more than one rule.

• 2, 5, 4, 7, 6, 9, 8

• In this pattern we can determine the rule between the first 2 numbers is add 3.

• 2 +3 = 5. However, this rule does not work for the next 2 numbers.

• 5 + 3 does not equal 4. The relationship there is subtract 1.

• After 4 we have 7. This is an increase of 3 again. So, we can now determine if our rules of add 3; subtract 1 will work through the entire pattern.

Poll

Do the rules add 3; subtract 1 work for this number pattern?

2, 5, 4, 7, 6, 9, 8

• yes

• no

Some number patterns count by 5's, 10's, or even 100's.

Examples:

15, 20, 25, __, 35, 40

60, __, 80, 90

437, 537, ___, 737

Stop and watch this video:

https://youtu.be/sQP5VRnCCUY

Shape Patterns

We look at the relationship between the shapes in the same way we do when we look at number patterns.

Look at the shape pattern on the right.

What shape do you think will come next?

Multiple Choice

Which picture would be term 4?