Number patterns in math

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# Number patterns in math - PowerPoint PPT Presentation

BY MISS P HUMES FOR 3A. Number patterns in math. What is a Number Pattern?. A number pattern is a list of numbers that follow a certain rule.

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BY MISS P HUMES FOR 3A

### Number patterns in math

What is a Number Pattern?
• A number pattern is a list of numbers that follow a certain rule.
• Number patterns can be found everywhere. In a phone number, you can find a number pattern (222-333-4441). You can find number patterns in a person's address (1212 Home Street).
• Look at this number pattern.
• 321, 421, 521, 621...
• The next number would be 721.
Attributes of Number Patterns
• A pattern can be a growing or increasingpattern.
• This means that the numbers in the pattern are getting larger.
• Examples: 2, 4, 6, 8 Rule: add 2

3, 8, 13, 18 Rule: add 5

125, 135, 145 Rule: add 10

4, 8, 16, 32 Rule: double the number or multiply by 2

Attributes of Number Patterns
• A pattern can be a shrinking or decreasingpattern.
• This means that the numbers in the pattern are getting smaller
• Examples: 750, 650, 550, 450 Rule: subtract 100

35, 30, 25, 20 Rule: subtract 5

200, 40, 8 Rule: divide 5

Attributes of Number Patterns
• A pattern can be a repeatingpattern.
• This means that the numbers in the pattern repeat over and over again.
• Examples: 10, 18, 10, 18, Rule: 10, 18 then it repeats

3, 6, 3, 2, 3, 6, 3, 2 Rule: 3, 6, 3, 2, then it repeats

Attributes of Number Patterns
• Look at the following number patterns. Can you tell if it is an increasing/shrinking pattern, a decreasing/growing pattern or a repeating pattern...
• 20, 29, 38, 20, 29, 38
• 11, 17, 23, 29, 35
• 51, 46, 41, 36, 31
• 23, 25, 27, 29
• 21, 18, 15, 12

repeating, Rule: 20, 29, 38, 20 then it repeats

decreasing, Rule: subtract 5

Decreasing, Rule: subtract 3

TYPES OF NUMBER PATTERNS
• There are many different types of number patterns but we will learn about 2;
• Arithmetic Sequence
• Geometric Sequence
Arithmetic Sequence
• A sequence is group of numbers that follow a pattern based on a specific rule.
• An arithmetic sequence involves a sequence of numbers to which the same amount has been added or subtracted.
• The amount that is added or subtracted is known as the commondifference.
• For example, in the sequence "1, 4, 7, 10, 13..." each number has been added to 3 in order to get the next number. The common difference for this sequence is 3.
Arithmetic Sequence
• Here are some examples of arithmetic sequences.
• 12, 14, 16, 18, 20, 22,
• 76, 70, 64, 58, 52, 46
• 17, 22, 27, 32, 37, 42
• 16, 20, 24, 28, 32, 36
• 95, 87, 79, 71, 63, 55
• 81, 75, 69, 63, 57, 51

Rule: Subtract 6

Rule: Subtract 8

Rule: Subtract 6

Geometric Sequence
• A geometric sequence is a list of numbers that are multiplied or divided by the same amount.
• The amount by which the numbers are multiplied is known as the commonratio.
• For example, in the sequence "2, 4, 8, 16, 32..." each number is multiplied by 2. The number 2 is the common ratio for this geometric sequence.
Geometric Sequence
• Here are some examples of geometric sequences.
• 1, 2, 4, 8, 16
• 2, 6, 18, 54
• 81, 27, 9, 3, 1
• 512, 256, 128, 64

Rule: Multiply by 2

Rule: Multiply by 3

Rule: Divide by 3

Rule: Divide by 2

Discovering Number Patterns
• When trying to find the rule of a number pattern, try the following steps.
• Example: 106, 100, 94, ___, 82, ___
• Step 1: Decide whether or not it is an increasing or decreasing pattern.
• Step 2: Find the difference between the first two numbers by subtracting the smaller number from the bigger number

This is a decreasing pattern because the numbers are getting smaller.

106

- 100

6

Discovering Number Patterns
• Step 3: Repeat step 2 for the next given terms and see if you notice a pattern.
• Step ;4: Once you have discovered the difference, fill in the missing terms and state the rule

10o

- 94

6

106, 94, 88, 82, 76Rule: Subtract 6

NUMBER PATTERNS CHALLENGE
• You will be shown a series of number patterns.
• In your groups, see if you can find the rule.
• For each one you get right, you will earn 2 points to be added to your group points.
• Let`s Go!!!
NUMBER PATTERNS CHALLENGE
• 16, 19, 22, 25, 28
• 49, 47, 45, 43, 41
• 101, 93, 85, 77, 69
• 3, 6, 12, 24, 48
• 98, 87, 76, 65, 54
• 15, 115, 215, 315
• 3, 4, 3, 2, 3, 4, 3, 2

RULE: Subtract 3

RULE: Subtract 2

RULE: Subtract 8