5.OA.3 - Patterns 3/20/23

5.OA.3 - Patterns

Generate two numerical patterns using two given rules.

What do I need to know?

• Identify apparent relationships between corresponding terms.
• Form ordered pairs consisting of corresponding term from the two patterns.
• Graph the ordered pairs on a coordinate plane.

Let's do an example

Describe the pattern - You will need paper and pencil!!!

Today, both Sam and Terri have no fish. They both go fishing each day. Sam catches 2 fish each day. Terri catches 4 fish each day. How many fish do they have after each of the five days.

Step 1 - Analyze the information we were given

• Today, both Sam and Terri have no fish. "What does this mean?")

• They both go fishing each day. (This means that they go fishing everyday.)

• Sam catches 2 fish each day.

• Terri catches 4 fish each day.

Let's Practice

Let's Practice

Multiple Choice

A pattern of ordered pairs is shown below.

(0, 1), (2, 4), (4, 7), (6, 10)

If the pattern continues, what hat is the seventh ordered pair in the pattern?

• (8, 13)

• (14, 8)

• (12, 19)

• (10, 11)

Multiple Choice

Kyle and Nathan each earn $6 a week. After week 3, Kyle has $25, and Nathan has triple that amount. How much did Nathan start with?

• $51

• $57

• $63

• $69

Multiple Choice

Zach and Carter collect rocks. The table shows how many rocks they have at the end of each day.

They keep collecting rocks at the same rate. How many rocks will Zach and Carter have altogether at the end of day 5?

• 15

• 20

• 25

• 30

Multiple Choice

Lou has two sets of numbers.

· The first set starts with 3 and follows a pattern of

increasing by 5.

· The second set starts with 39 and follows a pattern of

decreasing by 6.

How many numbers do the two sets have in common?

• 5

• 4

• 3

• 2

Multiple Choice

The rule for the coordinate pairs on the grid is (+2, +1).

On what coordinate pair does the next point belong?

• (7, 4)

• (7, 5)

• (8, 4)

• (8, 6)