Graphing a Pattern

Match

Using the table of values, match the question to the correct response.

• What is the initial value?

• What is the rate of change?

• What is the value of term 10?

1

4

41

• 1

• 4

• 41

Let's go back to the Catesian Plane

Remember that we write our coordinates in this order:

(x, y)

(1,2) <-- in this coordinate, 1 is our x value and 2 is our y value

​x-axis

​y-axis

Draw

Draw the following coordinates on the Cartesian Plane

A= (-2, -5)

B= (3, -4)

C= (3,2)

When we graph a pattern the term number is the x value and the term value is the y value

Graphing from a table of values

Open Ended

Write the first 5 coordinates of this pattern. Remember to follow the format (x,y)

Multiple Choice

Which coordinate below does not belong in this pattern?

• (1,5)

• (5,1)

• (2,9)

• (3,13)

Sooo...we can use a table of values to graph, and we can use a graph to fill in our table of values! Let's give it a try!

​Term #	​Term Value
​0	​0
​1	​3
​2	​6
​3	​9

Graphing

Graph the first 4 terms of this pattern

Fill in the Blanks

What would be the next coordinate if this pattern continued?

Remember to type your answer using this format: (x,y)

Fill in the Blanks

What is the rate of change of this pattern?

Fill in the Blanks

What is the initial value of this pattern?

These are all 'Linear Patterns'!

​Special note: You can find the initial value of a graph by looking at where your pattern intersects (crosses) the y-axis.

Open Ended

What is one key takeaway from today's lesson?