Finding Patterns What do you know about finding number patterns?

Objective :

Objective State the rule to find the next number of a pattern.

The first important question … :

The first important question … Ascending? Descending?

Slide 4:

Ascending Patterns Descending Patterns Addition
The numbers will increase by the same amount each time.
Multiplication
The numbers will increase by a different amount each time Subtraction
The numbers will decrease by the same amount each time.
Division
The numbers will increase by a different amount each time

FRACTIONS? :

FRACTIONS? Fractions throw a giant wrench into our rule for patterns. Can you explain why this happens?

Divide the previous number by 4Multiply the previous number by ¼ :

Divide the previous number by 4Multiply the previous number by ¼ The numbers shown below follow a pattern.
64, 16, 4, 1, …
What rule could be used to find the next number in the pattern?

Add 7 to the previous number :

Add 7 to the previous number The numbers shown below follow a pattern.
7, 14, 21, 28, ...
What rule could be used to find the next number in the pattern?

Divide the previous number by 6Multiply the previous number by 1/6 :

Divide the previous number by 6Multiply the previous number by 1/6 The numbers shown below follow a pattern.
1944, 324, 54, 9, …
What rule could be used to find the next number in the pattern?

Subtract 5 from the previous number :

Subtract 5 from the previous number The numbers shown below follow a pattern.
100, 95, 90, 85, …
What rule could be used to find the next number in the pattern?

Subtract 5 from the previous number :

Subtract 5 from the previous number The numbers shown below follow a pattern.
100, 95, 90, 85, …
What rule could be used to find the next number in the pattern?

Multiply the previous number by 10 :

Multiply the previous number by 10 The numbers shown below follow a pattern.
1, 10, 100, 1,000 …
What rule could be used to find the next number in the pattern?

Add 2.1 to the previous number :

Add 2.1 to the previous number The numbers shown below follow a pattern.
43.1, 45.2, 47.3, 49.4 …
What rule could be used to find the next number in the pattern?

Divide the previous number by 5Multiply the previous number by 1/5 :

Divide the previous number by 5Multiply the previous number by 1/5 The numbers shown below follow a pattern.
125, 25, 5, 1 …
What rule could be used to find the next number in the pattern?

Add 8.3 to the previous number :

Add 8.3 to the previous number The numbers shown below follow a pattern.
128.7, 137, 145.3, 153.6 …
What rule could be used to find the next number in the pattern?

Multiply the previous number by 7 :

Multiply the previous number by 7 The numbers shown below follow a pattern.
2, 14, 98, 686
What rule could be used to find the next number in the pattern?

Subtract 5.9 from the previous number :

Subtract 5.9 from the previous number The numbers shown below follow a pattern.
58.7, 52.8, 46.9, 41, …
What rule could be used to find the next number in the pattern?

Multiply the previous number by 8 :

Multiply the previous number by 8 The numbers shown below follow a pattern.
6, 48, 384, 3072, …
What rule could be used to find the next number in the pattern?

Enrichment Questions :

Enrichment Questions

Enrichment Question :

Enrichment Question 6, 9, 14, 21, 30, 41...

Enrichment Question :

Enrichment Question Can you create a multiplication pattern using fractions?

Enrichment Question :

Enrichment Question Can you create a division pattern using decimals?

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