Exploring Numerical Patterns and Sequences

This video tutorial covers lesson 9.5 on numerical patterns, explaining how patterns are ordered sets of numbers or objects that help predict future terms. It introduces the concept of sequences and the rules that define them, such as addition, subtraction, multiplication, or division. The tutorial demonstrates how to identify relationships between two sequences by using number pairs and finding a rule that connects them. Practical examples, including video game scenarios and coin calculations, are used to illustrate these concepts. The lesson concludes with a preview of the next topic, word problem solving.

What is a numerical pattern?

• An ordered set of numbers

• A sequence of objects

• A random list of numbers

• A graphical representation

What rule describes the progression from 2, 4, 6, 8, to 10?

• Subtract 2

• Add 2

• Multiply by 2

• Divide by 2

How do you find the next number in a sequence where the rule is to add 8?

• Multiply the last number by 8

• Subtract 8 from the last number

• Divide the last number by 8

• Add 8 to the last number

What is the rule relating sequence one to sequence two if the first sequence is 5, 10, 15 and the second is 10, 20, 30?

• Multiply by 2

• Add 5

• Subtract 5

• Divide by 2

In a video game, if earning 10 gold coins equals 2 extra lives, what is the conversion factor?

• Multiply by 0.5

• Multiply by 5

• Multiply by 0.2

• Divide by 5

What operation relates the sequence of nickels to quarters if 5 cents in nickels relates to 25 cents in quarters?

• Add 20

• Divide by 5

• Multiply by 5

• Subtract 20

If the sequence rule is to add 3, what would be the next number after 9?

• 12

• 6

• 3

• 15

What is the rule for finding the next term in a sequence where each term is multiplied by 4?

• Subtract 4

• Divide by 4

• Multiply by 4

• Add 4

How do you find the missing term in a sequence if the rule is to add 12?

• Subtract 12 from the last known term

• Multiply the last known term by 12

• Divide the last known term by 12

• Add 12 to the last known term

What is the relationship between the terms of a sequence if the rule involves division?

• The terms alternate

• The terms decrease

• The terms increase

• The terms remain constant