Finding Patterns

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Finding Patterns : 

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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