Patterns in the Coordinate Plane

by Ms. Johnson

Patterns and Relationships

Lesson 20: Analyze Patterns and Relationships​

​Goals:

• ​Generate a numerical pattern given a rule.

• ​Identify relationships between corresponding terms of two patterns.

• ​Describe what an 'ordered pair' is.

• ​Plot ordered pairs on a coordinate plane.

Fill in the Blanks

Look at this pattern: What two numbers comes next?

1, 5, 9, 13, 17, 21

​What is a coordinate plane?

• A coordinate plane contains the location of ordered pairs.

• ​The first column of an ordered pair is x (on the x-axis).

• ​The second column of an ordered pair is y (on the y-axis).

• ​You can plot an ordered pair by finding the first number on the x-axis and the second number on the y-axis and placing a dot.

Multiple Choice

What is the ordered pair for 'B' on this coordinate plane?

• (0,0)

• (5,1)

• (1,0)

• None

Multiple Choice

What is the ordered pair of the letter 'C'?

• (1,5)

• (5,5)

• (5,1)

• (0,0)

​Patterns...

​In Level 1 of a game, you earn 2 points for each correct answer. In Level 2, you earn 6 points for each correct answer. Compare the number of points in Level 2 to the number of points in Level 1 if you correctly answer 0, 1, 2, 3, 4, 5, or 6 questions.

Fill in the Blanks

In Level 1 of the game, you answered the following: 0, 1, 2, 3, 4, 5, and 6. What is your score if you get 2 points? Start at zero and follow the rule to make a pattern.

​What are ordered pairs?

• An ordered pair are two numbers in a particular order. To use an ordered pair to find the location of something on a grid, we must identify where it is on both the x- axis, which is horizontal, and the up and down line, or vertical line, which is called the y- axis.

• ​Must be in parentheses.

Multiple Choice

What is the next ordered pair?

• (12,4)

• (4,12)

• (2,6)

• 4,12

Multiple Choice

What answer in this question set isTrue?

• A

• B

• C

• D

Open Ended

Poll

How do you feel about Patterns and Relationships?