Identifying Numerical Patterns through 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, followed by creating sequences using specific rules. Observations are made on how sequences relate, and ordered pairs are graphed to show these relationships. The lesson concludes with using multiplication rules to form sequences and graphing them to observe patterns.

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

• Start with 25 and add 25

• Start with 0 and add 1

• Start with 0 and add 2

• Start with 30 and subtract 3

Which sequence starts with 25 and increases by 25?

• The first sequence

• The second sequence

• The third sequence

• The fourth sequence

What is the result of adding 2 to 4 in the sequence starting with 0?

• 4

• 2

• 8

• 6

In the sequence starting with 0 and adding 4, what is the third term?

• 4

• 16

• 8

• 12

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

• They are the same value

• They are three times the value

• They are twice the value

• They are half the value

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

• The rule multiply by 3

• The rule add 4

• The rule add 2

• The rule multiply by 2

Why do the ordered pairs follow a specific pattern?

• Because the x-coordinate is twice the y-coordinate

• Because the x-coordinate is half the y-coordinate

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

• Because the x-coordinate is equal to the y-coordinate

What is the relationship between the first term in one sequence and the first term in the other sequence when using multiplication rules?

• The first term is equal to the second term

• The first term is twice the second term

• The first term is one and a half times the second term

• The first term is half the second term

What is the y-coordinate for the ordered pair (6, 9)?

• 15

• 6

• 9

• 12

Why do the points fall in a straight line when graphing related sequences?

• Because each point represents the same relationship between x and y coordinates

• Because the x and y coordinates are equal

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

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