Identifying Numerical Patterns and Graphing Ordered Pairs

This lesson teaches how to identify numerical patterns by forming and graphing ordered pairs. It begins with an introduction to sequences and rules for generating patterns. The lesson then demonstrates creating sequences using addition and multiplication rules, comparing them, and forming ordered pairs. These pairs are graphed to show relationships, highlighting how terms in one sequence relate to another. The lesson concludes with a summary of the key concepts learned.

What is the rule for the first sequence mentioned in the lesson?

• Start with 0 and add 2

• Start with 30 and subtract 3

• Start with 25 and add 25

• Start with 0 and add 1

When using the rule 'add 4', what is the third number in the sequence starting from 0?

• 4

• 8

• 16

• 12

How are the terms in the second sequence related to the first sequence?

• They are unrelated

• They are three times the value of the first sequence

• They are twice the value of the first sequence

• They are half the value of the first sequence

What do the x-coordinates represent in the graph of ordered pairs?

• The rule multiply by 3

• The rule plus 2

• The rule plus 4

• The rule multiply by 2

Why do the points form a straight line when graphed?

• Because the x-coordinate is always greater than the y-coordinate

• Because the y-coordinate is always greater than the x-coordinate

• Because the y-coordinate is 1.5 times the x-coordinate

• Because the x-coordinate is 1.5 times the y-coordinate

What is the relationship between the first terms of the sequences when using multiplication rules?

• The first term in the second sequence is twice the first term in the first sequence

• The first term in the second sequence is unrelated to the first term in the first sequence

• The first term in the second sequence is 1.5 times the first term in the first sequence

• The first term in the second sequence is half the first term in the first sequence

What is the pattern observed in the sequence formed by multiplying by 3?

• The numbers are multiples of 4

• The numbers are multiples of 3

• The numbers are multiples of 2

• The numbers are multiples of 5