Analyze Patterns & Relationships

Analyze Patterns & Relationships

Generate number sequences using given rules

5.OA.B

What do I need to know ?

• Identify the relationship between corresponding terms

• Form ordered pairs using the corresponding terms

• Graph the ordered pairs on a coordinate plane

Multiple Choice

Can you identify the pattern ?

5, 9, 13, 17, 21, 25....

• + 2

• + 3

• + 4

• + 5

Describe the pattern

Ahmed and Sarah keep track of their pocket money they earned each week. Ahmed earns 100 riyals each week and Sarah earns 50 riyals. They used the rules "add 100" and "add 50" to complete a table and plot a graph.

First create a table showing the patterns

Now you can see corresponding terms, and make ordered pairs from them!

( 100 , 50 )

( 200 , 100 )

( 300 , 150 )

(400 , 200 )

Plot the ordered pairs on the graph!

Can you see the relationship between the earnings?

Ahmed always earns twice more than Sarah

or

Sarah always earns half than Ahmed

Multiple Choice

If this pattern continues, what would be the fifth ordered pair ?

(0,1) (1,3) (2,5) (3,7) ( ? )

• (4,8)

• (4,9)

• (5,4)

• (6,10)

Multiple Choice

Can you describe the relationship between the patterns?

• The number of hats is always 3 times the number of boxes

• The number of boxes is always half the number of hats

Always ask yourself this question to help ...

... how do I get from the first box to the second box, by using an operation?

( $\times\ -\ +\ \div\$  )

How do I go from 2 to 6?

I can + 4, and x 3.

Check the next terms to see if the same works.

How do I go from 5 to 15?

I can + 10, and x 3.

It is clear to see x 3 is the pattern!

Now can you find the missing term?

Analyze the pattern

Sarah buys kits of beads to make bracelets. In each packet there are 20 red beads and 15 gold beads.

She uses the rule " add 20 " and " add 15 " to complete a table and plot a graph.

First create a table showing the patterns

Now you can see corresponding terms, and make ordered pairs from them!

( 20 , 15 )

( 40 , 30 )

( 60 , 45 )

Multiple Choice

What is the next ordered pair ?

• ( 70 , 60 )

• ( 80 , 65 )

• ( 80 , 60 )

• ( 100 , 60 )

Multiple Choice

Can you see the relationship between the beads?

• For every 20 gold beads there are 15 red beads.

• The number of red beads is always 15 more than the gold beads.

• For every 20 red beads there are 15 gold beads.

Plot the ordered pairs on the graph!

Can you see the relationship between the beads?

For every 20 red beads there are 15 gold beads.

or

For every 15 gold beads there are 20 red beads.

Multiple Choice

Mark is slicing oranges. The table shows how the number of slices is related to the number of oranges. Which best describes the relationship shown in the table?

• The number of slices is 8 times the number of oranges.

• The number of slices is 4 more than the number of oranges.

• The number of slices is 6 more than the number of oranges.

• The number of slices is 4 times the number of oranges.

Multiple Choice

What would be the next corresponding terms?

• 12 , 60

• 12 , 48

• 14 , 48

• 13 , 41